Special wave basis finite elements for very short wave refraction and scattering problems

DOI10.1002/cnm.670zbMath1048.65106OpenAlexW2038401226MaRDI QIDQ4736799

P. Bettess

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1002/cnm.670

zbMATH Keywords

finite elementsHelmholtz equationshort wavesrefractionwave scatteringplane wave basis

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)

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Cites Work

• The partition of unity finite element method: basic theory and applications
• Computational aspects of the ultra-weak variational formulation
• An improved partition of unity finite element model for diffraction problems
• SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS
• Wave envelope and infinite elements for acoustical radiation
• Mapped Wave Envelope Elements for Acoustical Radiation and Scattering
• THE PARTITION OF UNITY METHOD
• New special wave boundary elements for short wave problems
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