]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Update of references.
authorhartmann <hartmann@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 6 Jun 2005 16:01:33 +0000 (16:01 +0000)
committerhartmann <hartmann@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 6 Jun 2005 16:01:33 +0000 (16:01 +0000)
git-svn-id: https://svn.dealii.org/trunk@10842 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/doc/publications/2002/har02.bib [new file with mode: 0644]
deal.II/doc/publications/2002/har02.html [new file with mode: 0644]
deal.II/doc/publications/2002/hh02a.bib [new file with mode: 0644]
deal.II/doc/publications/2002/hh02a.html [new file with mode: 0644]
deal.II/doc/publications/2002/hh02b.bib [new file with mode: 0644]
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deal.II/doc/publications/2003/hh03a.bib [new file with mode: 0644]
deal.II/doc/publications/2003/hh03a.html [new file with mode: 0644]
deal.II/doc/publications/2003/hh03b.bib [new file with mode: 0644]
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deal.II/doc/publications/2004/hh04a.bib [new file with mode: 0644]

diff --git a/deal.II/doc/publications/2002/har02.bib b/deal.II/doc/publications/2002/har02.bib
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--- /dev/null
@@ -0,0 +1,20 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+@PhdThesis{Har02,
+  author =      {Ralf Hartmann},
+  title =       {Adaptive Finite Element Methods for the
+                  Compressible Euler Equations},
+  school =      {University of Heidelberg},
+  year =        2002
+}
+
+
+
+</pre></body></html>
diff --git a/deal.II/doc/publications/2002/har02.html b/deal.II/doc/publications/2002/har02.html
new file mode 100644 (file)
index 0000000..83d1561
--- /dev/null
@@ -0,0 +1,91 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN"
+   "http://www.w3.org/TR/REC-html40/frameset.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" media="screen">
+    <link href="../../print.css" rel="StyleSheet" media="print">
+  <body>
+
+
+<h3>Abstract:</h3>
+<dir>
+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 <em>a posteriori</em> 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.
+<br>
+<br>
+In particular, this work includes following issues
+<ul>
+    <li> <p>
+    Discretisation:
+    <ul>
+        <li> Streamline diffusion and discontinuous Galerkin method
+       for a scalar hyperbolic problem: <br> comparison with respect to
+       accuracy and conservation properties
+       <li> Discontinuous Galerkin method for the compressible Euler equations
+       <li> Use of shock-capturing
+       <li> Higher order boundary approximation at reflective boundaries
+       <li> Solution of the nonlinear and the linear problems
+       <li> Mesh generation for airfoil computations
+    </ul>
+    </p>
+
+    <li> <p>
+    A posteriori error estimation and adaptivity:
+    <ul>
+        <li> Derivation (by duality argument) of error estimates with
+        respect to arbitrary target functionals
+
+       <li> Question of well-posedness of the dual problem
+
+       <li> Approximation of the error representation by numerical
+       approximation of the dual solution
+
+       <li> Adaptive algorithm tailored to the efficient computation
+       of the quantity of interest
+    </ul>
+    </p>
+    
+    <li> <p> Numerical Examples illustrating the performance of the
+    error estimation and the adaptive grid refinement for a wide range
+    of hyperbolic problems including
+    <ul>
+       <li> the linear advection equation
+       <li> the 1D inviscid Burgers equation
+       <li> the Buckley-Leverett equation
+       <li> the 1D compressible Euler equations
+       <li> and several examples for the 2D compressible Euler equations.
+    </ul>
+    and for a variety of target functionals (quantities) including
+    <ul>
+       <li> drag and lift coefficients of airfoils
+       <li> pressure point values
+       <li> weighted boundary integrals
+       </ul>
+    </p>
+
+    <li> <p>
+    Appendices
+    <ul>
+       <li> Full description of exact solutions to hyperbolic
+       problems treated in numerical examples
+
+       <li> Implementational details of finite elements with curved
+       boundaries
+
+    </ul>
+</dir>
+</body>
+</html>
+
+    
+
diff --git a/deal.II/doc/publications/2002/hh02a.bib b/deal.II/doc/publications/2002/hh02a.bib
new file mode 100644 (file)
index 0000000..987d5f6
--- /dev/null
@@ -0,0 +1,21 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+@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}
+}
+
+
+</pre></body></html>
diff --git a/deal.II/doc/publications/2002/hh02a.html b/deal.II/doc/publications/2002/hh02a.html
new file mode 100644 (file)
index 0000000..bfd77c6
--- /dev/null
@@ -0,0 +1,39 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN"
+   "http://www.w3.org/TR/REC-html40/frameset.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" media="screen">
+    <link href="../../print.css" rel="StyleSheet" media="print">
+  <body>
+
+
+<h1>Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws</h1>
+<a href="http://ganymed.iwr.uni-heidelberg.de/~hartmann"
+         target="_top">R. Hartmann</a> and P. Houston
+
+
+<h3>Abstract:</h3>
+<dir>
+We consider the <em>a posteriori</em> 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
+<em>a posteriori</em> 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 <em>a posteriori</em>
+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
+<em>ad hoc</em> error indicators. 
+</dir>
+
+</body>
+</html>
diff --git a/deal.II/doc/publications/2002/hh02b.bib b/deal.II/doc/publications/2002/hh02b.bib
new file mode 100644 (file)
index 0000000..1a7a7c4
--- /dev/null
@@ -0,0 +1,22 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+
+@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}
+}
+
+</pre></body></html>
diff --git a/deal.II/doc/publications/2002/hh02b.html b/deal.II/doc/publications/2002/hh02b.html
new file mode 100644 (file)
index 0000000..f5eab49
--- /dev/null
@@ -0,0 +1,39 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN"
+   "http://www.w3.org/TR/REC-html40/frameset.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" media="screen">
+    <link href="../../print.css" rel="StyleSheet" media="print">
+  <body>
+
+<h1>Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations</h1>
+<a href="http://ganymed.iwr.uni-heidelberg.de/~hartmann"
+         target="_top">R. Hartmann</a> and P. Houston
+
+<h3>Abstract:</h3>
+<dir>
+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 <em>a posteriori</em> 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 <em>
+    ad hoc</em> 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.
+
+</dir>
+</body>
+</html>
diff --git a/deal.II/doc/publications/2003/hh03a.bib b/deal.II/doc/publications/2003/hh03a.bib
new file mode 100644 (file)
index 0000000..da78e6a
--- /dev/null
@@ -0,0 +1,20 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+@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}
+}
+
+</pre></body></html>
diff --git a/deal.II/doc/publications/2003/hh03a.html b/deal.II/doc/publications/2003/hh03a.html
new file mode 100644 (file)
index 0000000..5d650a7
--- /dev/null
@@ -0,0 +1,28 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN"
+   "http://www.w3.org/TR/REC-html40/frameset.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" media="screen">
+    <link href="../../print.css" rel="StyleSheet" media="print">
+  <body>
+
+<h1>Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows</h1>
+<a href="http://ganymed.iwr.uni-heidelberg.de/~hartmann"
+         target="_top">R. Hartmann</a> and P. Houston
+
+
+<h3>Abstract:</h3>
+<dir>
+  <p>
+  We consider so-called `goal-oriented' <em>a posteriori</em> 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, <em>a
+  posteriori</em> 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.
+  </p>
+</dir>
+</body>
+</html>
diff --git a/deal.II/doc/publications/2003/hh03b.bib b/deal.II/doc/publications/2003/hh03b.bib
new file mode 100644 (file)
index 0000000..fbf45fd
--- /dev/null
@@ -0,0 +1,20 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+@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},
+}
+
+</pre></body></html>
diff --git a/deal.II/doc/publications/2003/hh03b.html b/deal.II/doc/publications/2003/hh03b.html
new file mode 100644 (file)
index 0000000..0627d3f
--- /dev/null
@@ -0,0 +1,43 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN"
+   "http://www.w3.org/TR/REC-html40/frameset.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" media="screen">
+    <link href="../../print.css" rel="StyleSheet" media="print">
+  <body>
+
+<h1> Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals</h1>
+<a href="http://ganymed.iwr.uni-heidelberg.de/~hartmann"
+         target="_top">R. Hartmann</a> and P. Houston
+
+
+<h3>Abstract:</h3>
+<dir>
+  <p>
+  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.
+  <br>
+  In a series of previous articles, we have developed the theory of
+  goal--oriented <em>a posteriori</em> error estimation for
+  discontinuous Galerkin methods applied to inviscid compressible
+  fluid flows.  On the basis of Type I <em>a posteriori</em> 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 <em>single</em> target functional of
+  practical interest.  The purpose of the current article is to extend
+  this earlier work to the case when <em>several</em> target
+  functionals of the solution need to be simultaneously approximated
+  to a given level of accuracy.
+  </p>
+</dir>
+</body>
+</html>
diff --git a/deal.II/doc/publications/2004/hh04a.bib b/deal.II/doc/publications/2004/hh04a.bib
new file mode 100644 (file)
index 0000000..da9e21b
--- /dev/null
@@ -0,0 +1,21 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+   "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+  <head>
+    <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+    <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+  <body>
+  <pre>
+
+@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
+}
+
+</pre></body></html>

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