Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary

DOI10.1016/j.jcp.2006.05.033zbMath1109.65096OpenAlexW4300571120MaRDI QIDQ868236

Christophe Sabot, Yves Achdou, Nicoletta Tchou

Publication date: 19 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.05.033

zbMATH Keywords

wave equationfinite element methodnumerical examplesperturbation methodLaplace equationspectral decompositiondomains with fractal boundaries

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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