An exponential rate of convergence of the finite element method for the Dirichlet problem with a singularity of the solution.

zbMath1046.65086MaRDI QIDQ1432394

Victor Anatolievich Rukavishnikov, Alexei Bespalov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemfinite-element methodstrong singularity\(h-p\) versiondegeneration of initial datanon-self-adjoint second-order elliptic equationSobolev weight space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

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