Rate-of-convergence bounds of a finite-difference approximation of the Dirichlet problem for the Helmholtz equation with a coefficient from the ``negative space

DOI10.1007/BF02114035zbMath0837.65115OpenAlexW1996153794MaRDI QIDQ1909155

Yu. I. Rybak, Volodymyr L. Makarov, S. A. Voitsekhovskii

Publication date: 18 March 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02114035

zbMATH Keywords

convergence Dirichlet problem difference scheme Helmholtz equation Sobolev-Slobodetskii space

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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