Observations on the numerical stability of the Galerkin method

DOI10.1023/A:1018941607627zbMath0974.65054OpenAlexW155027857MaRDI QIDQ1284734

Ralph E. Kleinman, George C. Hsiao, Allan G. Dallas

Publication date: 31 May 1999

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018941607627

zbMATH Keywords

instabilityGalerkin methodnumerical examplesHilbert spaceconditioningnumerical stabilityscattering problemspotential stabilityboundary-integral equationsoperator-inversion problem

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Boundary element methods for boundary value problems involving PDEs (65N38) Linear operators and ill-posed problems, regularization (47A52)

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