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Coupling of spectral methods and the \(p\)-version of the finite element method for elliptic boundary value problems containing singularities. (English) Zbl 0790.65093
The method of auxiliary mapping is coupled with the \(p\)-version of the finite element method for problems, containing singularities. Numerical results for the Helmholtz equation are given.
Reviewer: I.Evzerov (Kiev)

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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