Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle

DOI10.1023/B:NUMA.0000040056.52424.49zbMath1075.65139OpenAlexW1978958642MaRDI QIDQ701926

Andreas Karageorghis, Bernard Bialecki

Publication date: 17 January 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:numa.0000040056.52424.49

zbMATH Keywords

algorithmeigenvaluepreconditioningHelmholtz equationRobin boundary conditionsconjugate gradient methodsmatrix decompositionspectral collocationLegendre Gauss points

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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