Coupling of spectral methods and the \(p\)-version of the finite element method for elliptic boundary value problems containing singularities

DOI10.1006/JCPH.1993.1185zbMath0790.65093OpenAlexW2059231045MaRDI QIDQ1316056

Publication date: 23 June 1994

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

Full work available at URL: https://doi.org/10.1006/jcph.1993.1185

zbMATH Keywords

numerical results singularities Helmholtz equation method of auxiliary mapping spectral methods \(p\)- version of finite element method

Mathematics Subject Classification ID

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

Related Items (7)

A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model ⋮ A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations ⋮ An efficient Wave Based Method for 2D acoustic problems containing corner singularities ⋮ Resolution of the Maxwell equations in a domain with reentrant corners ⋮ Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains ⋮ Singularities and treatments of elliptic boundary value problems.

This page was built for publication: Coupling of spectral methods and the \(p\)-version of the finite element method for elliptic boundary value problems containing singularities