A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems

Yuping Zeng; Feng Wang

Applications of Mathematics (2017)

  • Volume: 62, Issue: 3, page 243-267
  • ISSN: 0862-7940

Abstract

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We derive a residual-based a posteriori error estimator for a discontinuous Galerkin approximation of the Steklov eigenvalue problem. Moreover, we prove the reliability and efficiency of the error estimator. Numerical results are provided to verify our theoretical findings.

How to cite

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Zeng, Yuping, and Wang, Feng. "A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems." Applications of Mathematics 62.3 (2017): 243-267. <http://eudml.org/doc/288205>.

@article{Zeng2017,
abstract = {We derive a residual-based a posteriori error estimator for a discontinuous Galerkin approximation of the Steklov eigenvalue problem. Moreover, we prove the reliability and efficiency of the error estimator. Numerical results are provided to verify our theoretical findings.},
author = {Zeng, Yuping, Wang, Feng},
journal = {Applications of Mathematics},
keywords = {discontinuous Galerkin method; Steklov eigenvalue problem; a posteriori error estimate},
language = {eng},
number = {3},
pages = {243-267},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems},
url = {http://eudml.org/doc/288205},
volume = {62},
year = {2017},
}

TY - JOUR
AU - Zeng, Yuping
AU - Wang, Feng
TI - A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems
JO - Applications of Mathematics
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 3
SP - 243
EP - 267
AB - We derive a residual-based a posteriori error estimator for a discontinuous Galerkin approximation of the Steklov eigenvalue problem. Moreover, we prove the reliability and efficiency of the error estimator. Numerical results are provided to verify our theoretical findings.
LA - eng
KW - discontinuous Galerkin method; Steklov eigenvalue problem; a posteriori error estimate
UR - http://eudml.org/doc/288205
ER -

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