Element-oriented and edge-oriented local error estimators for nonconforming finite element methods

Ronald H.W. Hoppe; Barbara Wohlmuth

doi:10.1051/m2an/1996300202371

Element-oriented and edge-oriented local error estimators for nonconforming finite element methods

Ronald H.W. Hoppe
, Barbara Wohlmuth

University Hospital Augsburg

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

We consider easily computable and reliable error estimators for the approximation of linear elliptic boundary value problems by nonconforming finite element methods. In particular, we develop both element-oriented and edge-oriented estimators providing lower and upper bounds for the global discretization error. The local contributions of these estimators may serve as indicators for local refinement within an adaptive framework.

Original language	English
Pages (from-to)	237-263
Number of pages	27
Journal	Mathematical Modelling and Numerical Analysis
Volume	30
Issue number	2
DOIs	https://doi.org/10.1051/m2an/1996300202371
State	Published - 1996
Externally published	Yes

Keywords

Elliptic boundary value problems
Local error estimators
Nonconforming finite elements

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10.1051/m2an/1996300202371

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title = "Element-oriented and edge-oriented local error estimators for nonconforming finite element methods",

abstract = "We consider easily computable and reliable error estimators for the approximation of linear elliptic boundary value problems by nonconforming finite element methods. In particular, we develop both element-oriented and edge-oriented estimators providing lower and upper bounds for the global discretization error. The local contributions of these estimators may serve as indicators for local refinement within an adaptive framework.",

keywords = "Elliptic boundary value problems, Local error estimators, Nonconforming finite elements",

author = "Hoppe, \{Ronald H.W.\} and Barbara Wohlmuth",

year = "1996",

doi = "10.1051/m2an/1996300202371",

language = "English",

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T1 - Element-oriented and edge-oriented local error estimators for nonconforming finite element methods

AU - Hoppe, Ronald H.W.

AU - Wohlmuth, Barbara

PY - 1996

Y1 - 1996

N2 - We consider easily computable and reliable error estimators for the approximation of linear elliptic boundary value problems by nonconforming finite element methods. In particular, we develop both element-oriented and edge-oriented estimators providing lower and upper bounds for the global discretization error. The local contributions of these estimators may serve as indicators for local refinement within an adaptive framework.

AB - We consider easily computable and reliable error estimators for the approximation of linear elliptic boundary value problems by nonconforming finite element methods. In particular, we develop both element-oriented and edge-oriented estimators providing lower and upper bounds for the global discretization error. The local contributions of these estimators may serve as indicators for local refinement within an adaptive framework.

KW - Elliptic boundary value problems

KW - Local error estimators

KW - Nonconforming finite elements

UR - https://www.scopus.com/pages/publications/0039924017

U2 - 10.1051/m2an/1996300202371

DO - 10.1051/m2an/1996300202371

M3 - Article

AN - SCOPUS:0039924017

SN - 0764-583X

VL - 30

SP - 237

EP - 263

JO - Mathematical Modelling and Numerical Analysis

JF - Mathematical Modelling and Numerical Analysis

IS - 2

ER -

Element-oriented and edge-oriented local error estimators for nonconforming finite element methods

Abstract

Keywords

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