A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation

DOI10.1016/j.cma.2008.12.005zbMath1227.76041OpenAlexW2133162771WikidataQ57547803 ScholiaQ57547803MaRDI QIDQ649312

Lindaura Maria Steffens, Pedro Díez

Publication date: 30 November 2011

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

Full work available at URL: http://hdl.handle.net/2117/8095

zbMATH Keywords

Helmholtz equationdispersion/pollution errorerror estimation of wave numberglobal/local estimatesgoal oriented adaptivitywave problems

Mathematics Subject Classification ID

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

Related Items (3)

Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation ⋮ Goal-oriented \(h\)-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies ⋮ 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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