The eigenvalue problem for the 2D Laplacian in \({\mathcal H}\)-matrix arithmetic and application to the heat and wave equation

DOI10.1007/s00607-003-0061-zzbMath1055.65049OpenAlexW1980808567MaRDI QIDQ1885283

M. Lintner

Publication date: 28 October 2004

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-003-0061-z

zbMATH Keywords

heat equationwave equationnumerical exampleseigenvaluesfinite elementeigenpairsboundary element\({\mathcal H}\)-matrices\({\mathcal H}\)-matrix factorizationdiscrete 2D Laplacian

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Heat equation (35K05) Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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