Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems. I: General approach and low-order models

DOI10.1016/j.jcp.2009.01.008zbMath1161.65082OpenAlexW2079489434MaRDI QIDQ1013192

Xavier Antoine, Christophe A. Geuzaine

Publication date: 17 April 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.008

zbMATH Keywords

finite element methodnumerical examplesaccuracyacoustic scatteringHelmholtz equationpollutionshort-wave problemon-surface radiation condition method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses ⋮ A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation ⋮ \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics

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