An approach for combining the Ritz-Galerkin and finite element method

DOI10.1016/0021-9045(83)90087-4zbMath0541.65069OpenAlexW2042699866MaRDI QIDQ794408

Zi-Cai Li

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90087-4

zbMATH Keywords

finite element methodsingularitiesunbounded domainsRitz-Galerkin methodcombined method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Enriched collocation finite element method, a model problem, An efficient method for subtracting off singularities at corners for Laplace's equation, A nonconforming combination for solving elliptic problems with interfaces, Superconvergence of coupling techniques in combined methods for elliptic equations with singularities, The simplified hybrid-combined methods for Laplace's equation with singularities, A combined method for solving elliptic problems on unbounded domains, Singularities and treatments of elliptic boundary value problems., A nonconforming combined method for solving Laplace's boundary value problems with singularities

Cites Work

• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• Treatment of harmonic mixed boundary problems by conformal transformation methods
• The coupling of the finite element method and boundary solution procedures
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