Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators

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DOI10.1006/jcph.2001.6737zbMath0983.65115OpenAlexW2082427843MaRDI QIDQ5943989

Fernando Reitich, David P. Nicholls

Publication date: 23 April 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2001.6737

zbMATH Keywords

algorithms stability convergence Laplace equation numerical instability ill-conditioning Dirichlet-Neumann operators geometric perturbation 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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