A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils

DOI10.1002/nme.3043zbMath1235.65136OpenAlexW2016153878WikidataQ59485584 ScholiaQ59485584MaRDI QIDQ2880234

Eugenio Oñate, Prashanth Nadukandi, Julio García-Espinosa

Publication date: 12 April 2012

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

Full work available at URL: https://www.scipedia.com/public/Nadunkandi_et_al_2011a

zbMATH Keywords

Helmholtz equationdispersion analysiscompact stencilsalpha-interpolation of Fem and FDM

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem ⋮ A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equation ⋮ A variational multiscale method with subscales on the element boundaries for the Helmholtz equation ⋮ Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems

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