From: hartmann
+ Discretisation:
+
+
+@PhdThesis{Har02,
+ author = {Ralf Hartmann},
+ title = {Adaptive Finite Element Methods for the
+ Compressible Euler Equations},
+ school = {University of Heidelberg},
+ year = 2002
+}
+
+
+
+
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+Abstract:
+
+
+In particular, this work includes following issues
+
+
+
+
comparison with respect to
+ accuracy and conservation properties
+
+ A posteriori error estimation and adaptivity: +
Numerical Examples illustrating the performance of the + error estimation and the adaptive grid refinement for a wide range + of hyperbolic problems including +
+ Appendices +
+ +@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 new file mode 100644 index 0000000000..bfd77c63b5 --- /dev/null +++ b/deal.II/doc/publications/2002/hh02a.html @@ -0,0 +1,39 @@ + + + + + + + + +
+ + +@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 new file mode 100644 index 0000000000..f5eab49833 --- /dev/null +++ b/deal.II/doc/publications/2002/hh02b.html @@ -0,0 +1,39 @@ + + + + + + + +
+ +@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 new file mode 100644 index 0000000000..5d650a7ac5 --- /dev/null +++ b/deal.II/doc/publications/2003/hh03a.html @@ -0,0 +1,28 @@ + + + + + + + +
+ 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. +
++ +@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 new file mode 100644 index 0000000000..0627d3f5f7 --- /dev/null +++ b/deal.II/doc/publications/2003/hh03b.html @@ -0,0 +1,43 @@ + + + + + + + +
+ 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.
+
+ +@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 +} + +