Goal oriented a posteriori error estimates for the discontinuous Galerkin method

Dolejší, Vít; Roskovec, Filip

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 15-23

Abstract

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This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical experiments.

How to cite

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Dolejší, Vít, and Roskovec, Filip. "Goal oriented a posteriori error estimates for the discontinuous Galerkin method." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 15-23. <http://eudml.org/doc/288152>.

@inProceedings{Dolejší2017,
abstract = {This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical experiments.},
author = {Dolejší, Vít, Roskovec, Filip},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {discontinuous Galerkin method; aposteriori error estimates; goal-oriented estimates; algebraic error},
location = {Prague},
pages = {15-23},
publisher = {Institute of Mathematics CAS},
title = {Goal oriented a posteriori error estimates for the discontinuous Galerkin method},
url = {http://eudml.org/doc/288152},
year = {2017},
}

TY - CLSWK
AU - Dolejší, Vít
AU - Roskovec, Filip
TI - Goal oriented a posteriori error estimates for the discontinuous Galerkin method
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 15
EP - 23
AB - This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical experiments.
KW - discontinuous Galerkin method; aposteriori error estimates; goal-oriented estimates; algebraic error
UR - http://eudml.org/doc/288152
ER -

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