Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
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Publication:4509765
DOI10.1137/S0036142994269186zbMath0956.65095OpenAlexW2025124289MaRDI QIDQ4509765
Ivo M. Babuška, Stefan A. Sauter
Publication date: 19 October 2000
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142994269186
stabilityGalerkin methodHelmholtz equationhigh wave numberpollution effectgeneralized finite element methods
Error bounds for boundary value problems involving PDEs (65N15) 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)
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