A combination of spectral and finite elements for an exterior problem in the plane

DOI10.1016/S0168-9274(01)00174-XzbMath1015.65061OpenAlexW2100084542MaRDI QIDQ1862003

Salim Meddahi, A. M. Márquez-Durán

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00174-x

zbMATH Keywords

convergenceGalerkin methodintegral equationsfinite element methodsPoisson equationexterior boundary value problemspectal element methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (6)

A new BEM-FEM coupling strategy for two-dimensional fluid-solid interaction problems ⋮ Sobolev orthogonal Legendre rational spectral methods for exterior problems ⋮ On the coupling of mixed-FEM and BEM for an exterior Helmholtz problem in the plane ⋮ Spectral method for matching exterior and interior elliptic problems ⋮ Afternote to ``Coupling at a distance: convergence analysis and a priori error estimates ⋮ A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media

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