scientific article; zbMATH DE number 1359756

DOI<335::AID-NME591>3.0.CO;2-A 10.1002/(SICI)1097-0207(19990530)45:3<335::AID-NME591>3.0.CO;2-AzbMath0935.65118MaRDI QIDQ4269521

Omar Laghrouche, P. Bettess, Edmund A. Chadwick

Publication date: 24 April 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

wave equationfinite elementsdomain decompositionnumerical experimentsHelmholtz equationdiffractionshort wavesinfinite elementsexterior Dirichlet problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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 (8)

Modelling of short wave diffraction problems using approximating systems of plane waves ⋮ New special wave boundary elements for short wave problems ⋮ A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains ⋮ A coupled far-field formulation for time-periodic numerical problems in fluid dynamics ⋮ SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS ⋮ An improved partition of unity finite element model for diffraction problems ⋮ A simple multi-directional absorbing layer method to simulate elastic wave propagation in unbounded domains ⋮ Special wave basis finite elements for very short wave refraction and scattering problems

Uses Software

• Maple

Cites Work

• Unnamed Item
• The partition of unity finite element method: basic theory and applications
• Finite element formulations for acoustical radiation
• Wave envelope and infinite elements for acoustical radiation
• Mapped infinite elements for exterior wave problems
• A non-conforming element for stress analysis
• Diffraction and refraction of surface waves using finite and infinite elements
• Mapped Wave Envelope Elements for Acoustical Radiation and Scattering
• Wave envelope examples for progressive waves
• The pressure of water waves upon a fixed obstacle

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