A comparison of some a posteriori error estimates for fourth order problems

Segeth, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 164-170

Abstract

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A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order problems including computational error estimates.

How to cite

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Segeth, Karel. "A comparison of some a posteriori error estimates for fourth order problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 164-170. <http://eudml.org/doc/271328>.

@inProceedings{Segeth2010,
abstract = {A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order problems including computational error estimates.},
author = {Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {a posteriori error estimates; finite element method; biharmonic problem},
location = {Prague},
pages = {164-170},
publisher = {Institute of Mathematics AS CR},
title = {A comparison of some a posteriori error estimates for fourth order problems},
url = {http://eudml.org/doc/271328},
year = {2010},
}

TY - CLSWK
AU - Segeth, Karel
TI - A comparison of some a posteriori error estimates for fourth order problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 164
EP - 170
AB - A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures for the numerical solution of biharmonic and some further fourth order problems including computational error estimates.
KW - a posteriori error estimates; finite element method; biharmonic problem
UR - http://eudml.org/doc/271328
ER -

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