Cai, W.; Lee, H. C.; Oh, H.-S. Coupling of spectral methods and the \(p\)-version of the finite element method for elliptic boundary value problems containing singularities. (English) Zbl 0790.65093 J. Comput. Phys. 108, No. 2, 314-326 (1993). 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) Cited in 7 Documents 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 Keywords:spectral methods; numerical results; method of auxiliary mapping; \(p\)- version of finite element method; singularities; Helmholtz equation PDF BibTeX XML Cite \textit{W. Cai} et al., J. Comput. Phys. 108, No. 2, 314--326 (1993; Zbl 0790.65093) Full Text: DOI