Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation

DOI10.1002/nme.3104zbMath1235.76073OpenAlexW2008242326WikidataQ57547768 ScholiaQ57547768MaRDI QIDQ2880290

Núria Parés, Pedro Díez, Lindaura Maria Steffens

Publication date: 12 April 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/117188

zbMATH Keywords

Helmholtz equationa posteriori error estimationstabilized methodsdispersion/pollution errorerror estimation of wave numberwave problems

Mathematics Subject Classification ID

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

Related Items (6)

A smoothed finite element method for exterior Helmholtz equation in two dimensions ⋮ Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function ⋮ Analysis of transient wave propagation in inhomogeneous media using edge-based gradient smoothing technique and Bathe time integration method ⋮ Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions ⋮ Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation ⋮ Retracted: A hybrid finite element-meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media

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