Computing flux intensity factors by a boundary method for elliptic equations with singularities

DOI<657::AID-CNM180>3.0.CO;2-K 10.1002/(SICI)1099-0887(199807)14:7<657::AID-CNM180>3.0.CO;2-KzbMath0911.65103OpenAlexW2122634784MaRDI QIDQ4213719

Alexander Yakhot, M. Arad, Zohar Yosibash, Gabi Ben-Dor

Publication date: 26 April 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199807)14:7<657::aid-cnm180>3.0.co;2-k

zbMATH Keywords

numerical examplesLaplace equationboundary singularitiesdomains with cornersleast squares approximationslocal asymptotic expansion

Mathematics Subject Classification ID

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

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Cites Work

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• Corner singularities in elliptic problems by finite element methods
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• Local similarity solutions and their limitations
• Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
• The DtN finite element method for elastic domains with cracks and re-entrant corners
• The treatment of singularities of partial differential equations by relaxation methods

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