Explicit residual-based a posteriori error estimation for finite element discretizations of the Helmholtz equation: Computation of the constant and new measures of error estimator quality

DOI10.1016/0045-7825(95)00953-1zbMath0887.76040OpenAlexW2091220377MaRDI QIDQ1372805

James R. Stewart, Thomas J. R. Hughes

Publication date: 1 June 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00953-1

zbMATH Keywords

coarse meshesglobal effectivity indiceslocal effectivity indexrobustness indextime-harmonic exterior acoustics problems

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

A posteriori error estimation for acoustic wave propagation problems, Unnamed Item, A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem, \(h\)-adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions, A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation, Investigation of a two-dimensional spectral element method for Helmholtz's equation, \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics, Error estimates and adaptive finite element methods, Goal-oriented \(h\)-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies, On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation, Adaptive finite element methods for systems of reaction-diffusion equations, Adaptive finite element methods for compressible flow, Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation

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