A posteriori error estimation for acoustic wave propagation problems

J. Tinsley Oden; Serge Prudhomme; Leszek Demkowicz

doi:10.1007/BF02736190

A posteriori error estimation for acoustic wave propagation problems

J. Tinsley Oden^*, Serge Prudhomme, Leszek Demkowicz

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

29 Scopus citations

Abstract

The main purpose of this paper is to review a posteriori error estimators for the simulation of acoustic wave propagation problems by computational methods. Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Hehnholtz problem. Recent work on goal-oriented error estimation techniques with respect to so-called quantities of interest or output functionals are also accounted for. Fundamental results from a priori error estimation are presented and issues dealing with pollution error at large wave numbers are extensively discussed.

Original language	English (US)
Pages (from-to)	343-389
Number of pages	47
Journal	Archives of Computational Methods in Engineering
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/BF02736190
State	Published - 2005
Externally published	Yes

Bibliographical note

Funding Information:
The support of this work by the Office of Naval Research under Contract N00014-95-0401 is greatfully acknowledged.

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1007/BF02736190

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title = "A posteriori error estimation for acoustic wave propagation problems",

abstract = "The main purpose of this paper is to review a posteriori error estimators for the simulation of acoustic wave propagation problems by computational methods. Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Hehnholtz problem. Recent work on goal-oriented error estimation techniques with respect to so-called quantities of interest or output functionals are also accounted for. Fundamental results from a priori error estimation are presented and issues dealing with pollution error at large wave numbers are extensively discussed.",

author = "Oden, {J. Tinsley} and Serge Prudhomme and Leszek Demkowicz",

note = "Funding Information: The support of this work by the Office of Naval Research under Contract N00014-95-0401 is greatfully acknowledged.",

year = "2005",

doi = "10.1007/BF02736190",

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journal = "Archives of Computational Methods in Engineering",

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TY - JOUR

T1 - A posteriori error estimation for acoustic wave propagation problems

AU - Oden, J. Tinsley

AU - Prudhomme, Serge

AU - Demkowicz, Leszek

N1 - Funding Information: The support of this work by the Office of Naval Research under Contract N00014-95-0401 is greatfully acknowledged.

PY - 2005

Y1 - 2005

N2 - The main purpose of this paper is to review a posteriori error estimators for the simulation of acoustic wave propagation problems by computational methods. Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Hehnholtz problem. Recent work on goal-oriented error estimation techniques with respect to so-called quantities of interest or output functionals are also accounted for. Fundamental results from a priori error estimation are presented and issues dealing with pollution error at large wave numbers are extensively discussed.

AB - The main purpose of this paper is to review a posteriori error estimators for the simulation of acoustic wave propagation problems by computational methods. Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Hehnholtz problem. Recent work on goal-oriented error estimation techniques with respect to so-called quantities of interest or output functionals are also accounted for. Fundamental results from a priori error estimation are presented and issues dealing with pollution error at large wave numbers are extensively discussed.

UR - http://www.scopus.com/inward/record.url?scp=32044460438&partnerID=8YFLogxK

U2 - 10.1007/BF02736190

DO - 10.1007/BF02736190

M3 - Review article

AN - SCOPUS:32044460438

SN - 1134-3060

VL - 12

SP - 343

EP - 389

JO - Archives of Computational Methods in Engineering

JF - Archives of Computational Methods in Engineering

IS - 4

ER -

A posteriori error estimation for acoustic wave propagation problems

Abstract

Bibliographical note

ASJC Scopus subject areas

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