Coupling of mapped wave infinite elements and plane wave basis finite elements for the Helmholtz equation in exterior domains

DOI10.1002/cnm.618zbMath1033.65107OpenAlexW2010728258MaRDI QIDQ4434564

P. Bettess, Rie Sugimoto

Publication date: 10 November 2003

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

Full work available at URL: https://doi.org/10.1002/cnm.618

zbMATH Keywords

scatteringHelmholtz equationdiffractionshort wavesinfinite elementsunboundedplane wave basisspecial wave finite elements

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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A hybrid‐Trefftz finite element model for Helmholtz problem ⋮ A numerical integration scheme for special finite elements for the Helmholtz equation ⋮ Exact integration of polynomial-exponential products with application to wave-based numerical methods

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