From: Matthias Maier Date: Thu, 31 Oct 2013 23:40:00 +0000 (+0000) Subject: A lot more licensing cleanup: Add headers, remove old files under X-Git-Tag: v8.1.0~437 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=03afaa391869e80aa6b91410800481a83dd29110;p=dealii.git A lot more licensing cleanup: Add headers, remove old files under doc/publications/???? - fix links git-svn-id: https://svn.dealii.org/trunk@31500 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/contrib/README.contrib b/deal.II/contrib/README.contrib index e9cbffffea..c3eb2515de 100644 --- a/deal.II/contrib/README.contrib +++ b/deal.II/contrib/README.contrib @@ -4,19 +4,6 @@ PLEASE NOTE THAT THESE PROJECTS MAY be COPYRIGHTED BY OTHERS THAN THE deal.II AUTHORS, but are included by permission. For details, consult the stated licenses below. -lagrange_basis -============== - -A Maple script to compute the coefficients of the LagrangeEquidistant -basis functions of degree p. Written by Ralf Hartmann. - - -lapack_templates -================ - -A small perl script for automatically generating lapack function -definitions. Distributed under the same license as the deal.II library. - mesh_conversion =============== diff --git a/deal.II/contrib/lagrange_basis/lagrange b/deal.II/contrib/utilities/lagrange_basis similarity index 65% rename from deal.II/contrib/lagrange_basis/lagrange rename to deal.II/contrib/utilities/lagrange_basis index a5b644e514..a3468a0e1d 100644 --- a/deal.II/contrib/lagrange_basis/lagrange +++ b/deal.II/contrib/utilities/lagrange_basis @@ -1,41 +1,61 @@ +## --------------------------------------------------------------------- +## $Id$ +## +## Copyright (C) 2001 - 2013 by the deal.II authors +## +## This file is part of the deal.II library. +## +## The deal.II library is free software; you can use it, redistribute +## it, and/or modify it under the terms of the GNU Lesser General +## Public License as published by the Free Software Foundation; either +## version 2.1 of the License, or (at your option) any later version. +## The full text of the license can be found in the file LICENSE at +## the top level of the deal.II distribution. +## +## --------------------------------------------------------------------- + +# +# Author: Ralf Hartmann, 2001 +# + +# # Maple script to compute the coefficients of the LagrangeEquidistant # basis functions of degree p. These are used as shape functions for # Qp elements. For higher p just change variable p in line 10. -# Call +# Call # perl -p -e 's/ *t0 = (.*);\n/ $1/g;' lagrange_txt # to get a c-code ready to be copied into the source codes. -# $Id$ -# Ralf Hartmann, 2001 +# p := 10: n_functions := p+1: - + # first compute the support points support_points := array(0..n_functions-1): for i from 0 to n_functions-1 do - support_points[i] := i/(n_functions-1): - od; + support_points[i] := i/(n_functions-1): + od; poly := array(0..n_functions-1): for i from 0 to n_functions-1 do # note that the interp function wants vectors indexed from - # one and not from zero. + # one and not from zero. values := array(1..n_functions): for j from 1 to n_functions do values[j] := 0: - od: + od: values[i+1] := 1: shifted_support_points := array (1..n_functions): for j from 1 to n_functions do shifted_support_points[j] := support_points[j-1]: od: - + poly[i] := interp (shifted_support_points, values, x): od: - + readlib(C): writeto(lagrange_output): printf(` case %d:\n {\n static const double x%d[%d]=\n {`, p,p,(p+1)*(p+1)): @@ -48,7 +68,7 @@ od: C(b[0]): for j from 1 to n_functions-1 do - printf(`,`): + printf(`,`): C(b[j]): od: if (i - - - - - 
-
-@MastersThesis{Ban98,
-  author = 	 {Wolfgang Bangerth},
-  title = 	 {{A}daptive {F}inite-{E}lemente-{M}ethoden zur {L}{\"o}sung der
-                  {W}ellengleichung mit {A}nwendung in der {P}hysik der {S}onne},
-  school = 	 {Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Heidelberg},
-  year = 	 1998,
-  type =	 {Diplomarbeit}
-}
-
-
-
-
diff --git a/deal.II/doc/publications/1998/bangerth.html b/deal.II/doc/publications/1998/bangerth.html deleted file mode 100644 index 5e2ce11f48..0000000000 --- a/deal.II/doc/publications/1998/bangerth.html +++ /dev/null @@ -1,43 +0,0 @@ - - - - - - - -

Abstract:

- - In this work, adaptive concepts for the numerical solution of the wave - equation in inhomogeneous media are derived and applied to an example - taken from the physics of the solar atmosphere. The main focus is on ways - to estimate the error in the numerical solution with regard to arbitrary - functionals, i.e. quantities of interest, and the use of these estimates - for the generation of computational meshes best suited for the evaluation - of this functional. - -

- - Advantages and difficulties of this method are presented. In particular, - it is shown that the proposed approach is significantly better in many - cases than previous adaptive schemes not taking into account the quantity - of interest. Cases involving nonlinear functionals and in which the - approach fails, are presented along with theoretical explanations and - numerical evidence of the reasons for this. - -

- - The proposed methods are applied to a simple model from the physics of the - solar atmosphere and the propagation of linear acoustic waves is computed. - The fraction of the wave energy that passes the chromosphere-corona - transition is computed to good accuracy. -

 - -

-

-
-Wolfgang Bangerth -
1999-09-10 -
- - diff --git a/deal.II/doc/publications/1999/bangerth-kanschat.bib b/deal.II/doc/publications/1999/bangerth-kanschat.bib deleted file mode 100644 index ab6982a9d4..0000000000 --- a/deal.II/doc/publications/1999/bangerth-kanschat.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@TechReport{BK99tr,
-  author =       {Wolfgang Bangerth and Guido Kanschat},
-  title =        {Concepts for Object-Oriented Finite Element Software -- the 
-                  \texttt{deal.II} library},
-  institution =  {IWR Heidelberg},
-  year =         1999,
-  type =         {{P}reprint 99-43 ({SFB} 359)},
-  month =        oct
-}
-
-
diff --git a/deal.II/doc/publications/1999/bangerth-kanschat.html b/deal.II/doc/publications/1999/bangerth-kanschat.html deleted file mode 100644 index cd9a563771..0000000000 --- a/deal.II/doc/publications/1999/bangerth-kanschat.html +++ /dev/null @@ -1,33 +0,0 @@ - - - - - - - -

Abstract:

- - -An overview of the deal.II library is given. This library provides - the functionality needed by modern numerical software used in the finite - element solution of partial differential equations, offering adaptively - refined meshes, different finite element classes, multigrid solvers and - support for one, two and three spatial dimensions. - -

- - We give a description of the basic design criteria used in the - development of the library and how they were transformed into actual - code, and some examples of the use of the library in numerical - analysis. - -

 -

-

-
-Wolfgang Bangerth -
1999-09-10 -
- - diff --git a/deal.II/doc/publications/1999/bangerth-rannacher-1.bib b/deal.II/doc/publications/1999/bangerth-rannacher-1.bib deleted file mode 100644 index 81f039d2f8..0000000000 --- a/deal.II/doc/publications/1999/bangerth-rannacher-1.bib +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - 
-
-
-@Article{BR01a,
-  author = 	 {Wolfgang Bangerth and Rolf Rannacher},
-  title = 	 {Adaptive Finite Element Techniques for the Acoustic Wave Equation},
-  journal = 	 {J. Comput. Acoustics},
-  year = 	 2001,
-  volume =	 9,
-  number =	 2,
-  pages =	 {575--591}
-}
-
-
diff --git a/deal.II/doc/publications/1999/bangerth-rannacher-1.html b/deal.II/doc/publications/1999/bangerth-rannacher-1.html deleted file mode 100644 index 03ed0f0706..0000000000 --- a/deal.II/doc/publications/1999/bangerth-rannacher-1.html +++ /dev/null @@ -1,28 +0,0 @@ - - - - - - - -

Abstract:

- - We present an adaptive finite element method for solving the acoustic - wave equation. Using a global duality argument and Galerkin orthogonality, - we derive an identity for the error with respect to an arbitrary functional - output of the solution. The error identity is evaluated by solving the - dual problem numerically. The resulting local cell-wise error indicators - are used in adaptation process. In this way, the space-time mesh can be - tailored for the efficient computation of the quantity of interest. - We give an overview of the implementation of the proposed method and - illustrate its performance by several numerical examples. - -

-

-
-Wolfgang Bangerth -
1999-09-10 -
- - diff --git a/deal.II/doc/publications/1999/bangerth-rannacher-2.bib b/deal.II/doc/publications/1999/bangerth-rannacher-2.bib deleted file mode 100644 index 190b6a5186..0000000000 --- a/deal.II/doc/publications/1999/bangerth-rannacher-2.bib +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - 
-
-
-@Article{BR99b,
-  author =       {Wolfgang Bangerth and Rolf Rannacher},
-  title =        {Finite element approximation of the acoustic wave equation:
-                  {E}rror control and mesh adaptation},
-  journal =      {East--West J. Numer. Math.},
-  year =         1999,
-  volume =       7,
-  number =       4,
-  pages =        {263--282}
-}
-
-
diff --git a/deal.II/doc/publications/1999/bangerth-rannacher-2.html b/deal.II/doc/publications/1999/bangerth-rannacher-2.html deleted file mode 100644 index c92f65ceac..0000000000 --- a/deal.II/doc/publications/1999/bangerth-rannacher-2.html +++ /dev/null @@ -1,29 +0,0 @@ - - - - - - - -

Abstract:

- -We present an approach to solving the acoustic wave equation by adaptive - finite element methods. Using a global duality argument and Galerkin - orthogonality, we obtain a residual-based error representation with respect to - an - arbitrary functional of the solution. This results in numerically - evaluatable error estimates which are used for mesh refinement. In this way, - very economical and highly localized space-time - meshes can be generated which are tailored to the efficient computation of - the quantity of interest. We demonstrate the performance and some of the - mechanisms acting in our approach by numerical examples. - -

-

-
-Wolfgang Bangerth -
1999-09-10 -
- - diff --git a/deal.II/doc/publications/2000/bangerth-1.bib b/deal.II/doc/publications/2000/bangerth-1.bib deleted file mode 100644 index 68ea1916fa..0000000000 --- a/deal.II/doc/publications/2000/bangerth-1.bib +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - 
-
-@InProceedings{Ban00w,
-  author = 	 {Wolfgang Bangerth},
-  title = 	 {Mesh Adaptivity and Error Control for a Finite Element
-                  Approximation of the Elastic Wave
-                  Equation},
-  booktitle = 	 {Proceedings of the Fifth International Conference on Mathematical
-                  and Numerical Aspects of Wave Propagation (Waves2000), Santiago
-                  de Compostela, Spain, 2000},
-  pages =	 {725--729},
-  year = 	 2000,
-  editor =	 {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and
-                  Patrick Joly and Jean E. Roberts},
-  publisher =	 {SIAM}
-}
-
-
-
diff --git a/deal.II/doc/publications/2000/bangerth-1.html b/deal.II/doc/publications/2000/bangerth-1.html deleted file mode 100644 index 1974f30595..0000000000 --- a/deal.II/doc/publications/2000/bangerth-1.html +++ /dev/null @@ -1,29 +0,0 @@ - - - - - - - -

Abstract:

- - An approach to solve the elastic wave equation by adaptive finite elements - is presented. The strategy for adaptivity is founded on an a posteriori - residual-based error estimate, where the error is measured with respect to - an arbitrary target functional, allowing to focus the simulation to the - computation of a given quantity of interest. The cell-wise error indicators - are computationally evaluated and used for refinement of the space-time - mesh. The resulting grids are usually highly localized and tailored to the - target functional. The performance of the approach is demonstrated with two - examples. - - -

-

-
-Wolfgang Bangerth -
1999-09-10 -
- - diff --git a/deal.II/doc/publications/2000/bangerth-2.bib b/deal.II/doc/publications/2000/bangerth-2.bib deleted file mode 100644 index f42a1bea09..0000000000 --- a/deal.II/doc/publications/2000/bangerth-2.bib +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - 
-
-
-@TechReport{Ban00mt,
-  author = 	 {Wolfgang Bangerth},
-  title = 	 {Multi-threading support in \texttt{deal.II}},
-  institution =  SFB,
-  year = 	 2000,
-  type = 	 {{P}reprint},
-  number =	 {2000-11},
-  month = 	 apr
-}
-
-
-
diff --git a/deal.II/doc/publications/2000/bangerth-2.html b/deal.II/doc/publications/2000/bangerth-2.html deleted file mode 100644 index 89e15547eb..0000000000 --- a/deal.II/doc/publications/2000/bangerth-2.html +++ /dev/null @@ -1,26 +0,0 @@ - - - - - - - -

Abstract:

- - In this report, we describe the implementational techniques of - multi-threading support in deal.II, which we use for the - parallelization of independent operations. Writing threaded programs in - C++ is obstructed by two problems: operating system dependent - interfaces and that these interfaces are created for C programs - rather than for C++. We present our solutions to these problems and - describe first experiences using multi-threading in deal.II. - -

-

-
-Wolfgang Bangerth -
2000-03-31 -
- - diff --git a/deal.II/doc/publications/2000/bangerth-3.bib b/deal.II/doc/publications/2000/bangerth-3.bib deleted file mode 100644 index 9670a38ec7..0000000000 --- a/deal.II/doc/publications/2000/bangerth-3.bib +++ /dev/null @@ -1,22 +0,0 @@ - - - - - - 
-
-
-@InProceedings{Ban00i,
-  author = 	 {Wolfgang Bangerth},
-  title = 	 {Using Modern Features of {C}++ for Adaptive Finite Element Methods:
-                  {D}imension-Independent Programming in deal.{I}{I}},
-  booktitle = 	 {Proceedings of the 16th IMACS World Congress 2000, Lausanne, 
-                  Switzerland, 2000},
-  year = 	 2000,
-  editor = 	 {Michel Deville and Robert Owens},
-  note = 	 {{D}ocument Sessions/118-1}
-}
-
-
-
diff --git a/deal.II/doc/publications/2000/bangerth-3.html b/deal.II/doc/publications/2000/bangerth-3.html deleted file mode 100644 index a69af89f3e..0000000000 --- a/deal.II/doc/publications/2000/bangerth-3.html +++ /dev/null @@ -1,46 +0,0 @@ - - - - - - - -

Abstract:

- -

- Modern finite element software tends to become increasingly complex. - Techniques like adaptive meshes, error estimation, multigrid methods, or - hp finite elements require the programmer to work with extremely - complicated data structures and sophisticated algorithms. Designing programs - in a maintainable and expandable way while retaining run time efficiency has - therefore become a major task in applied numerical analysis. In our - experience, this task can only be fulfilled by using modern programming - languages and tools. -

- -

- We will show how modern aspects of the C++ programming language, in - particular templates, can be used to write algorithms for finite element - programs in a dimension-independent way. This enables us to test algorithms - in one or two space dimensions while using the same program for large scale - computations in three space dimensions as well. It will be demonstrated that - this is even possible without much loss in efficiency since tests for the - actual space dimension at run time can almost completely be avoided. -

- -

- The idiom above is one of several modern aspects of C++ used in the design - of the finite element library deal.II developed at the University - of Heidelberg. We will give a sketch of its implementation and examples how - it is used. -

- -

-

-
-Wolfgang Bangerth -
2000-03-31 -
- - diff --git a/deal.II/doc/publications/2000/ckps.bib b/deal.II/doc/publications/2000/ckps.bib deleted file mode 100644 index 579b0b43eb..0000000000 --- a/deal.II/doc/publications/2000/ckps.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@TechReport{CKPS00,
-  author = 	 {Cockburn, Bernardo and Kanschat, Guido and Perugia, Ilaria and
-                  Schötzau, Dominik},
-  title = 	 {Superconvergence of the Local Discontinuous Galerkin
-                  Method for Elliptic Problems on Cartesian Grids},
-  institution =  UMSI,
-  year = 	 2000,
-  number =	 {2000/71}
-}
-
-
diff --git a/deal.II/doc/publications/2000/ckps.html b/deal.II/doc/publications/2000/ckps.html deleted file mode 100644 index 159f19dc4d..0000000000 --- a/deal.II/doc/publications/2000/ckps.html +++ /dev/null @@ -1,29 +0,0 @@ - - - - - - -

Superconvergence of the Local Discontinuous Galerkin - Method for Elliptic Problems on Cartesian Grids

-Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau -

Abstract

- - - In this paper, we present a super-convergence result for the Local -Discontinuous Galerkin method for a model elliptic problem on -Cartesian grids. We identify a special numerical flux for -which the L2-norm of the gradient and the -L2-norm of the potential are of order -k+1/2 and k+1, respectively, when tensor product -polynomials of degree at most k are used; for arbitrary -meshes, this special LDG method gives only the orders of convergence -of k and k+1/2, respectively. We present a series -of numerical examples which establish the sharpness of our theoretical -results. - - - - diff --git a/deal.II/doc/publications/2000/ckss.bib b/deal.II/doc/publications/2000/ckss.bib deleted file mode 100644 index 54a1a5f2c9..0000000000 --- a/deal.II/doc/publications/2000/ckss.bib +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - 
-
-@TechReport{CKSS00,
-  author = 	 {Cockburn, Bernardo and Kanschat, Guido and Sch{\"o}tzau, Dominik and Schwab, Christoph},
-  title = 	 {Local discontinuous {G}alerkin methods for the {S}tokes
-                      system},
-  institution =  IMA,
-  year = 	 2000,
-  number =	 1728,
-  month =	 {oct},
-  note =	 {submitted to SIAM J. Numer. Anal.}
-}
-
-
diff --git a/deal.II/doc/publications/2000/ckss.html b/deal.II/doc/publications/2000/ckss.html deleted file mode 100644 index 3d9e5277a9..0000000000 --- a/deal.II/doc/publications/2000/ckss.html +++ /dev/null @@ -1,30 +0,0 @@ - - - - - - -

Local discontinuous Galerkin methods for the Stokes system

-Bernardo Cockburn, - Guido Kanschat, Dominik Schötzau, Christoph Schwab -

Abstract

- - -In this paper, we introduce and analyze local discontinuous Galerkin -methods for the Stokes system. For arbitrary meshes with hanging -nodes and elements of various shapes we derive a priori estimates for -the L2-norm of the errors in the velocities and -the pressure. We show that optimal order estimates are -obtained when polynomials of degree k are used for each -component of the velocity and polynomials of degree k-1 for the -pressure, for any k>1. We also consider the case in which -all the unknowns are approximated with polynomials of degree k -and show that, although the orders of convergence remain the same, the -method is more efficient. Numerical experiments verifying these facts -are displayed. - - - - diff --git a/deal.II/doc/publications/2000/gk.bib b/deal.II/doc/publications/2000/gk.bib deleted file mode 100644 index 13ec5aa838..0000000000 --- a/deal.II/doc/publications/2000/gk.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@Article{GK03,
-  title = {A Multilevel Discontinuous {G}alerkin Method},
-  author = {Gopalakrishnan, J. and Kanschat, G.},
-  journal = {Numer. Math.},
-  number = {3},
-  pages = {527--550},
-  volume = {95},
-  year = {2003}
-}
-
-
diff --git a/deal.II/doc/publications/2000/gk.html b/deal.II/doc/publications/2000/gk.html deleted file mode 100644 index 09cc55c8e3..0000000000 --- a/deal.II/doc/publications/2000/gk.html +++ /dev/null @@ -1,27 +0,0 @@ - - - - - - -

A Multilevel Discontinuous Galerkin Method

-J. Gopalakrishnan, - G. Kanschat -

Abstract

- - -A variable V-cycle preconditioner for an interior penalty finite -element discretization for elliptic problems is presented. An analysis -under a mild regularity assumption shows that the preconditioner is -uniform. The interior penalty method is then combined with a -discontinuous Galerkin scheme to arrive at a discretization scheme for -an advection-diffusion problem, for which an error estimate is -proved. A multigrid algorithm for this method -is presented, and numerical experiments indicating its robustness -with respect to diffusion coefficient are reported. - - - - diff --git a/deal.II/doc/publications/2000/hartmann-1.bib b/deal.II/doc/publications/2000/hartmann-1.bib deleted file mode 100644 index 9ddaf11933..0000000000 --- a/deal.II/doc/publications/2000/hartmann-1.bib +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - 
-
-@InProceedings{Har00a,
-  author =       {Ralf Hartmann},
-  title =        {Adaptive {FE} {M}ethods for {C}onservation {E}quations},
-  booktitle =    {Hyperbolic Problems: theory, numerics, applications: eighth international confere
-nce in {M}agdeburg, February, March 2000},
-  year =         2001,
-  editor =       {Heinrich Freist{\"u}hler and Gerald Warnecke},
-  volume =       2,
-  series =       {International series of numerical mathematics; Vol. 141},
-  publisher =    {Birkh{\"a}user, Basel},
-  pages =        {495--503}
-}
-
-
-
-
-
diff --git a/deal.II/doc/publications/2000/hartmann-1.html b/deal.II/doc/publications/2000/hartmann-1.html deleted file mode 100644 index e0e7a703e4..0000000000 --- a/deal.II/doc/publications/2000/hartmann-1.html +++ /dev/null @@ -1,33 +0,0 @@ - - - - - - - -

Abstract:

- - - We present an approach to solving conservation equations by the - adaptive discontinuous Galerkin finite element method - (DG-method). Using a global duality argument and Galerkin - orthogonality, we obtain a residual-based error representation for the - error with respect to an arbitrary functional of the solution. This - results in local indicators that can be evaluated numerically and - which are used for adaptive mesh refinement and coarsening. In this - way, very economical and highly localized meshes can be generated - which are tailored to the cost-efficient computation of the quantity - of interest. We demonstrate the main ingredients of this approach of a - posteriori error estimation, test the quality of the error estimator - and the efficiency of the meshes by some numerical examples. - - -

-

-
-Ralf Hartmann -
2000-03-31 -
- - diff --git a/deal.II/doc/publications/2001/richter-1.html b/deal.II/doc/publications/2001/richter-1.html deleted file mode 100644 index 70898e6806..0000000000 --- a/deal.II/doc/publications/2001/richter-1.html +++ /dev/null @@ -1,30 +0,0 @@ - - - - - - - -

Abstract:

- -In this thesis, the dual weighted residual a posteriori error -estimator is studied for error estimation in arbitrary (linear) -functionals. The main focus is the construction of optimal meshes for -the solution of elliptic differential equations. -The quality of the meshes is measured by the effort to gain a suitable -solution of the differential equation and by the effort to generate -the mesh. -The dual weighted error estimator is used for hierarchical -mesh refinemant. One chapter discusses the application of the -error estimator for optimal anisotropic meshes. - - -

-

-
-Thomas Richter -
2001-01-01 -
- - diff --git a/deal.II/doc/publications/2002/bangerth-1.bib b/deal.II/doc/publications/2002/bangerth-1.bib deleted file mode 100644 index a2e341402f..0000000000 --- a/deal.II/doc/publications/2002/bangerth-1.bib +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - 
-
-@PhdThesis{Ban02,
-  author = 	 {Wolfgang Bangerth},
-  title = 	 {Adaptive Finite Element Methods for the Identification 
-                  of Distributed Coefficient in Partial Differential
-                  Equations},
-  school = 	 {University of Heidelberg},
-  year = 	 2002
-}
-
-
-
-
diff --git a/deal.II/doc/publications/2002/bangerth-1.html b/deal.II/doc/publications/2002/bangerth-1.html deleted file mode 100644 index 3e7e865ed7..0000000000 --- a/deal.II/doc/publications/2002/bangerth-1.html +++ /dev/null @@ -1,42 +0,0 @@ - - - - - - - -

Abstract:

- -

- In this thesis, we develop adaptive finite element methods for - parameter estimation problems involving partial differential - equations as constraints. In these so-called Inverse - Problems, the goal is the identification of a distributed - coefficient in a PDE by measurements of the state variable. This has - important applications where material parameters are to be - recovered, but only indirect measurements are possible, such as - identification of the underground structure from seismic - measurements, or in nondestructive material testing. -

- -

- For this kind of problems, we develop adaptive finite element - discretizations based on error estimates, where the estimates are - both for the error in the minimization functional (i.e. of - ``energy-type'') as well as in arbitrary functionals. Furthermore, - methods are developed to handle constraints on the sought - coefficients, based on active set strategies. The methods developed - are numerically tested at a number of large scale inverse problems - realizing some types of inverse problems that actually occur in - applications. -

- -

-

-
-Wolfgang Bangerth -
2002-04-16 -
- - diff --git a/deal.II/doc/publications/2002/cks-1.html b/deal.II/doc/publications/2002/cks-1.html deleted file mode 100644 index 8d93cb93d5..0000000000 --- a/deal.II/doc/publications/2002/cks-1.html +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - -

LDG methods for Stokes flow problems

-Bernardo Cockburn, - Guido Kanschat, Dominik Schötzau -

Abstract

- - -We review the development of local discontinuous -Galerkin methods for -the Stokes problem in incompressible fluid flow. -We explain the derivation of these methods -and present the corresponding error estimates. -The case of natural boundary conditions is treated. -A series of numerical examples are shown. - - - - diff --git a/deal.II/doc/publications/2002/cks-2.html b/deal.II/doc/publications/2002/cks-2.html deleted file mode 100644 index 4fae27b9a4..0000000000 --- a/deal.II/doc/publications/2002/cks-2.html +++ /dev/null @@ -1,25 +0,0 @@ - - - - - - -

The local discontinuous Galerkin method for the Oseen equations

-Bernardo Cockburn, - Guido Kanschat, Dominik Schötzau -

Abstract

- - -We introduce and analyze the local discontinuous Galerkin method for the -Oseen equations of incompressible fluid flow. For a class of shape-regular -meshes with hanging nodes, we derive optimal -a priori estimates for the errors -in the velocity and the pressure in L2- and negative-order norms. -Numerical experiments are presented which verify these theoretical results -and show that the method performs well for a wide range of Reynolds numbers. -\ - - - diff --git a/deal.II/doc/publications/2002/har02.bib b/deal.II/doc/publications/2002/har02.bib deleted file mode 100644 index e7ad194d4e..0000000000 --- a/deal.II/doc/publications/2002/har02.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@PhdThesis{Har02,
-  author = 	 {Ralf Hartmann},
-  title = 	 {Adaptive Finite Element Methods for the
-                  Compressible Euler Equations},
-  school = 	 {University of Heidelberg},
-  year = 	 2002
-}
-
-
-
-
diff --git a/deal.II/doc/publications/2002/har02.html b/deal.II/doc/publications/2002/har02.html deleted file mode 100644 index 283b1669ce..0000000000 --- a/deal.II/doc/publications/2002/har02.html +++ /dev/null @@ -1,90 +0,0 @@ - - - - - - - -

Abstract:

- -In this thesis we introduce a discontinuous Galerkin method for the -numerical solution of hyperbolic conversation laws, as for example the -compressible Euler equations of gas dynamics. Based on this finite -element method, we develop an adaptive algorithm for the efficient -computation of physically relevant quantities of the solution. This -includes a posteriori error estimation of the error in the -computed quantity as well as adaptive mesh design specifically -tailored to the efficient computation of this quantity. We illustrate -this approach by several different hyperbolic problems in combination -with various different target quantities, including the efficient -computation of drag and lift coefficients of airfoils immersed in -inviscid compressible gas flows. -
-
-In particular, this work includes following issues -
    -

  • - Discretisation: -

      -
    • Streamline diffusion and discontinuous Galerkin method - for a scalar hyperbolic problem:
      comparison with respect to - accuracy and conservation properties -
    • Discontinuous Galerkin method for the compressible Euler equations -
    • Use of shock-capturing -
    • Higher order boundary approximation at reflective boundaries -
    • Solution of the nonlinear and the linear problems -
    • Mesh generation for airfoil computations -
    -

    - -

  • - A posteriori error estimation and adaptivity: -

      -
    • Derivation (by duality argument) of error estimates with - respect to arbitrary target functionals - -
    • Question of well-posedness of the dual problem - -
    • Approximation of the error representation by numerical - approximation of the dual solution - -
    • Adaptive algorithm tailored to the efficient computation - of the quantity of interest -
    -

    - -

  • Numerical Examples illustrating the performance of the - error estimation and the adaptive grid refinement for a wide range - of hyperbolic problems including -

      -
    • the linear advection equation -
    • the 1D inviscid Burgers equation -
    • the Buckley-Leverett equation -
    • the 1D compressible Euler equations -
    • and several examples for the 2D compressible Euler equations. -
    - and for a variety of target functionals (quantities) including -
      -
    • drag and lift coefficients of airfoils -
    • pressure point values -
    • weighted boundary integrals -
    -

    - -

  • - Appendices -

      -
    • Full description of exact solutions to hyperbolic - problems treated in numerical examples - -
    • Implementational details of finite elements with curved - boundaries - -
    -
 - - - - - diff --git a/deal.II/doc/publications/2002/hh02a.bib b/deal.II/doc/publications/2002/hh02a.bib deleted file mode 100644 index 9e2e62056d..0000000000 --- a/deal.II/doc/publications/2002/hh02a.bib +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - 
-
-@Article{HH02a,
-  author = 	 {Ralf Hartmann and Paul Houston},
-  title = 	 {Adaptive Discontinuous {G}alerkin Finite Element Methods
-                  for Nonlinear Hyperbolic Conservation Laws},
-  journal = 	 {SIAM J. Sci. Comp.},
-  year = 	 {2002},
-  volume =	 24,
-  pages =	 {979--1004}
-}
-
-
-
diff --git a/deal.II/doc/publications/2002/hh02a.html b/deal.II/doc/publications/2002/hh02a.html deleted file mode 100644 index 5c46d59cd8..0000000000 --- a/deal.II/doc/publications/2002/hh02a.html +++ /dev/null @@ -1,38 +0,0 @@ - - - - - - - -

Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws

-R. Hartmann and P. Houston - - -

Abstract:

- -We consider the a posteriori error analysis -and adaptive mesh design for discontinuous Galerkin finite -element approximations to systems of nonlinear -hyperbolic conservation laws. -In particular, we discuss the question of error estimation for general -linear and nonlinear functionals of the solution; typical examples -include the -outflow flux, local average and pointwise value, as well as the lift -and drag coefficients of a body immersed in an inviscid fluid. -By employing a duality argument, we derive so-called weighted or Type I -a posteriori error bounds; in these error estimates -the element--residuals are multiplied by local weights involving -the solution of a certain dual problem. Based on these a posteriori -bounds, we design and implement the corresponding adaptive algorithm -to ensure efficient and reliable control of the error in the -computed functional. The theoretical results are illustrated by a series of -numerical experiments. In particular, we demonstrate the superiority -of the proposed approach over standard mesh refinement algorithms which employ -ad hoc error indicators. - - - - diff --git a/deal.II/doc/publications/2002/hh02b.bib b/deal.II/doc/publications/2002/hh02b.bib deleted file mode 100644 index 9360b0b997..0000000000 --- a/deal.II/doc/publications/2002/hh02b.bib +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - 
-
-
-@Article{HH02b,
-  author = 	 {Ralf Hartmann and Paul Houston},
-  title = 	 {Adaptive Discontinuous {G}alerkin Finite Element Methods
-                  for the Compressible {E}uler Equations},
-  journal = 	 {J. Comp. Phys.},
-  year = 	 2002,
-  volume =	 183,
-  number =	 2,
-  pages =	 {508--531}
-}
-
-
diff --git a/deal.II/doc/publications/2002/hh02b.html b/deal.II/doc/publications/2002/hh02b.html deleted file mode 100644 index 832486e560..0000000000 --- a/deal.II/doc/publications/2002/hh02b.html +++ /dev/null @@ -1,38 +0,0 @@ - - - - - - -

Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations

-R. Hartmann and P. Houston - -

Abstract:

- -In this paper a recently developed approach - for the design of - adaptive discontinuous Galerkin finite element approximations - is applied to physically relevant problems arising in inviscid compressible - fluid flows governed by the - Euler equations of gas dynamics. In particular, we employ so--called - weighted or Type I a posteriori error bounds to drive adaptive - finite element algorithms for the estimation of - the error measured in terms of general linear and nonlinear target - functionals of the solution; typical examples considered here include - the point evaluation of a component of the solution vector, and the - drag and lift coefficients of a body immersed in an inviscid fluid. - This general approach leads to the design of - economical finite element meshes specifically tailored to the computation - of the target functional of interest, as well as providing reliable and - efficient error estimation. Indeed, the superiority of the proposed - approach over standard mesh refinement algorithms which employ - ad hoc error indicators will be illustrated by a series of - numerical experiments; here, we consider - transonic flow through a nozzle, as well as subsonic, transonic and - supersonic flows around different airfoil geometries. - - - - diff --git a/deal.II/doc/publications/2002/kanschat-1.html b/deal.II/doc/publications/2002/kanschat-1.html deleted file mode 100644 index af5f8d07a8..0000000000 --- a/deal.II/doc/publications/2002/kanschat-1.html +++ /dev/null @@ -1,21 +0,0 @@ - - - - - - -

Multi-level Preconditioners for the interior penalty method

-Guido Kanschat -

Abstract

- - - The analysis of the variable V-cycle for interior penalty - discretization of Poisson's equation is reviewed. The performance of - the analyzed method is compared to several variants. Numerical - results for the LDG method are presented. -\ - - - diff --git a/deal.II/doc/publications/2003/hh03a.bib b/deal.II/doc/publications/2003/hh03a.bib deleted file mode 100644 index 7821ada6da..0000000000 --- a/deal.II/doc/publications/2003/hh03a.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@InProceedings{HH03a,
-  author = 	 {Paul Houston and Ralf Hartmann},
-  title = 	 {Goal--Oriented A Posteriori Error Estimation for Compressible Fluid Flows},
-  booktitle = 	 {Numerical Mathematics and Advanced Applications},
-  pages =	 {775--784},
-  year =	 2003,
-  editor =	 {F. Brezzi and A. Buffa and S. Corsaro and A. Murli},
-  publisher =	 {Springer}
-}
-
-
diff --git a/deal.II/doc/publications/2003/hh03a.html b/deal.II/doc/publications/2003/hh03a.html deleted file mode 100644 index f1e360a7e9..0000000000 --- a/deal.II/doc/publications/2003/hh03a.html +++ /dev/null @@ -1,27 +0,0 @@ - - - - - - -

Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows

-R. Hartmann and P. Houston - - -

Abstract:

- -

- We consider so-called `goal-oriented' a posteriori error - estimation for discontinuous Galerkin finite element approximations to - the compressible Euler equations of gas dynamics. By employing a - hyperbolic duality argument, we derive weighted, or Type I, a - posteriori error estimates which bound the error measured in - terms of certain target functionals of real or physical interest. The - practical advantages of this general approach are illustrated by a - series of numerical experiments. -

- - - diff --git a/deal.II/doc/publications/2003/hh03b.bib b/deal.II/doc/publications/2003/hh03b.bib deleted file mode 100644 index 07494fee4b..0000000000 --- a/deal.II/doc/publications/2003/hh03b.bib +++ /dev/null @@ -1,19 +0,0 @@ - - - - - - 
-
-@InProceedings{HH03b,
-  author = 	 {Ralf Hartmann and Paul Houston},
-  title = 	 {Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals},
-  booktitle = 	 {Hyperbolic problems: theory, numerics, applications},
-  pages =	 {579-588},
-  year = 	 2003,
-  editor =	 {Thomas Y. Hou and Eitan Tadmor},
-  publisher =	 {Springer},
-}
-
-
diff --git a/deal.II/doc/publications/2003/hh03b.html b/deal.II/doc/publications/2003/hh03b.html deleted file mode 100644 index 4d90b0498b..0000000000 --- a/deal.II/doc/publications/2003/hh03b.html +++ /dev/null @@ -1,42 +0,0 @@ - - - - - - -

Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals

-R. Hartmann and P. Houston - - -

Abstract:

- -

- In many applications the quantities of interest are a series of - target functionals of the solution to the governing system of - partial differential equations rather than the solution itself. For - example, in the field of aerodynamics, examples include the drag and - lift coefficients of an airfoil immersed into a fluid, the pressure - difference between the leading and trailing edges of the airfoil and - point evaluations of the density or pressure on the profile of the - airfoil. While traditionally these quantities are measured in wind - tunnel experiments, nowadays these experiments are increasingly - replaced by numerical simulations aiming to predict these quantities - to a high level of accuracy. -
- In a series of previous articles, we have developed the theory of - goal--oriented a posteriori error estimation for - discontinuous Galerkin methods applied to inviscid compressible - fluid flows. On the basis of Type I a posteriori bounds we - considered the design of adaptive finite element algorithms that are - capable of generating optimal meshes specifically tailored to the - efficient computation of a single target functional of - practical interest. The purpose of the current article is to extend - this earlier work to the case when several target - functionals of the solution need to be simultaneously approximated - to a given level of accuracy. -

- - - diff --git a/deal.II/doc/publications/2004/hh04a.bib b/deal.II/doc/publications/2004/hh04a.bib deleted file mode 100644 index 932ff23fe6..0000000000 --- a/deal.II/doc/publications/2004/hh04a.bib +++ /dev/null @@ -1,20 +0,0 @@ - - - - - - 
-
-@InCollection{HH04a,
-  author = 	 {Ralf Hartmann and Paul Houston},
-  title = 	 {Adaptive Discontinuous {G}alerkin Finite Element Methods with Interior Penalty
-                  for the Compressible {N}avier-{S}tokes Equations},
-  booktitle =	 {Numerical Mathemathics and Advanced Applications, ENUMATH 2003},
-  editor =	 {M. Feistauer and V. Doleji and P. Knobloch and K. Najzar},
-  pages =	 {410--419},
-  publisher =	 {Springer},
-  year =	 2004
-}
-
-
diff --git a/deal.II/doc/publications/index.html b/deal.II/doc/publications/index.html index 340324e3fb..080dc17f7a 100644 --- a/deal.II/doc/publications/index.html +++ b/deal.II/doc/publications/index.html @@ -4496,9 +4496,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003 -
- (Abstract - )
  • @@ -4510,8 +4507,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with The Local Discontinuous Galerkin Method for the Oseen Equations
    Math. Comput., vol. 73, pp. 569-593, 2003 -
    - (Abstract)
  • @@ -4534,11 +4529,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Numer. Math., vol. 95, pp. 527-550, 2003 -
    - (Abstract, - BibTeX - entry, - Postscript)
  • @@ -4549,8 +4539,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003 -
    - (Abstract)
  • in T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pp. 579-588, Springer, 2003 -
    - (    Abstract, - BibTeX - entry)
  • In F. Brezzi, A. Buffa, S. Corsaro and A. Murli, editors, Numerical Mathematics and Advanced Applications, pp. 775-784, Springer, 2003 -
    - (    Abstract, - BibTeX - entry)
  • @@ -4650,10 +4630,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Ph.D. thesis, University of Heidelberg, 2002 -
    - (Abstract, - BibTeX - entry)
  • S. Benkler @@ -4678,11 +4654,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with in Mang, Rammerstorfer, Eberhardsteiner: Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, 2002 -
    - (Abstract, - BibTeX - entry, - Postscript)
  • @@ -4697,11 +4668,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    SIAM J. Numer. Anal., vol. 40, pp. 319-343, 2002 -
    - (Abstract, - BibTeX - entry, - Postscript)
  • @@ -4713,9 +4679,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Ph.D. thesis, University of Heidelberg, 2002 -
    - (Abstract, - BibTeX entry)
  • @@ -4727,10 +4690,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    J. Comput. Phys., vol. 183, pp. 508-532, 2002. -
    - (Abstract, - BibTeX - entry)
  • @@ -4742,10 +4701,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    SIAM J. Sci. Comput., vol. 24, pp. 979-1004, 2002. -
    - (Abstract, - BibTeX - entry)
  • @@ -4757,11 +4712,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    J. Numer. Math., vol. 10, pp. 249-274, 2002 -
    - (Abstract, - BibTeX - entry, - Postscript)
  • F. Mohamed, M. Troyer, G. Blatter @@ -4824,11 +4774,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    SIAM J. Numer. Anal. 39 (1), pp. 264-285, 2001 -
    - (Abstract, - BibTeX - entry, - Postscript)
  • @@ -4838,8 +4783,7 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with Approximation elliptischer Differentialgleichungen
    - Diploma thesis, University of Heidelberg, 2001 (in German)
    - (Abstract) + Diploma thesis, University of Heidelberg, 2001 (in German)
    • @@ -4860,10 +4804,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Proceedings of the Waves2000 conference, held in Santiago de Compostela, Spain, July 10-14, 2000 -
    - (Abstract, - BibTeX - entry)
  • @@ -4874,9 +4814,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Preprint 2000-11 (SFB 359), IWR Heidelberg, October 1999. -
    - (Abstract, - BiBTeX entry)
  • @@ -4890,12 +4827,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000 -
    - This paper is also available - online. -
    - (Abstract, - BibTeX entry)
  • International series of numerical mathematics 141: 495-503. Birkhäuser, Basel 2001. -
    - (    Abstract, - BibTeX - entry)
  • F. Mohamed @@ -4944,10 +4871,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Preprint 99-43 (SFB 359), IWR Heidelberg, October 1999. -
    - (Abstract, - BibTeX - entry)
  • @@ -4960,10 +4883,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    East-West Journal of Numerical Mathematics, vol. 7, no. 4 (1999), pp. 263-282 -
    - (Abstract, - BibTeX - entry)
  • Journal of Computational Acoustics, vol. 9, no. 2 (2001), pp. 575-591 -
    - (    Abstract, - BibTeX - entry)
  • @@ -5012,9 +4927,6 @@ A Goal Oriented Software Library for Solving PDEs and Optimization Problems with
    Diploma thesis, University of Heidelberg, 1998 (in German) -
    - (Abstract, - BibTeX entry)