On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems

Balázs Kovács

Applications of Mathematics (2014)

  • Volume: 59, Issue: 5, page 489-508
  • ISSN: 0862-7940

Abstract

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Karátson and Korotov developed a sharp upper global a posteriori error estimator for a large class of nonlinear problems of elliptic type, see J. Karátson, S. Korotov (2009). The goal of this paper is to check its numerical performance, and to demonstrate the efficiency and accuracy of this estimator on the base of quasilinear elliptic equations of the second order. The focus will be on the technical and numerical aspects and on the components of the error estimation, especially on the adequate solution of the involved auxiliary problem.

How to cite

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Kovács, Balázs. "On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems." Applications of Mathematics 59.5 (2014): 489-508. <http://eudml.org/doc/262042>.

@article{Kovács2014,
abstract = {Karátson and Korotov developed a sharp upper global a posteriori error estimator for a large class of nonlinear problems of elliptic type, see J. Karátson, S. Korotov (2009). The goal of this paper is to check its numerical performance, and to demonstrate the efficiency and accuracy of this estimator on the base of quasilinear elliptic equations of the second order. The focus will be on the technical and numerical aspects and on the components of the error estimation, especially on the adequate solution of the involved auxiliary problem.},
author = {Kovács, Balázs},
journal = {Applications of Mathematics},
keywords = {a posteriori error estimation; quasilinear elliptic problem; numerical experiment; a posteriori error estimation; quasilinear elliptic problem; numerical experiment},
language = {eng},
number = {5},
pages = {489-508},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems},
url = {http://eudml.org/doc/262042},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Kovács, Balázs
TI - On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 5
SP - 489
EP - 508
AB - Karátson and Korotov developed a sharp upper global a posteriori error estimator for a large class of nonlinear problems of elliptic type, see J. Karátson, S. Korotov (2009). The goal of this paper is to check its numerical performance, and to demonstrate the efficiency and accuracy of this estimator on the base of quasilinear elliptic equations of the second order. The focus will be on the technical and numerical aspects and on the components of the error estimation, especially on the adequate solution of the involved auxiliary problem.
LA - eng
KW - a posteriori error estimation; quasilinear elliptic problem; numerical experiment; a posteriori error estimation; quasilinear elliptic problem; numerical experiment
UR - http://eudml.org/doc/262042
ER -

References

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