Tractability of the Helmholtz equation with non-homogeneous Neumann boundary conditions: the relation to the \(L_{2}\)-approximation

DOI10.1016/j.jco.2009.09.001zbMath1207.65022OpenAlexW2056494632MaRDI QIDQ1049400

Arthur G. Werschulz

Publication date: 12 January 2010

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2009.09.001

zbMATH Keywords

complexitySobolev spaceHelmholtz equationtractabilityerror criterionminimal number of function evaluationsnon-homogeneous Neumann boundary conditionsweighted reproducing kernel Hilbert space

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Algorithms for approximation of functions (65D15) Complexity and performance of numerical algorithms (65Y20)

Cites Work

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