A nonconforming combined method for solving Laplace's boundary value problems with singularities

DOI10.1007/BF01389701zbMath0586.65075OpenAlexW2080901934MaRDI QIDQ1071483

Zi-Cai Li

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133125

zbMATH Keywords

finite element methodsingularitiesLaplace equationnonconforming combined methodRitz- Galerkin method

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)

Related Items

A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems, Penalty-combined method and applications in solving elliptic problems with singularities, Interior boundary conditions in the Schwarz alternating method for the Trefftz method, The simplified hybrid-combined methods for Laplace's equation with singularities, A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities, A combined method for solving elliptic problems on unbounded domains, A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities, Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems, Unnamed Item, Singularities and treatments of elliptic boundary value problems.

Cites Work

• An approach for combining the Ritz-Galerkin and finite element method
• The numerical solutions of interface problems by infinite element method
• 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
• On the Simplified Hybrid-Combined Method
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• An Implicit Matching Principle for Global Element Calculations
• The coupling of the finite element method and boundary solution procedures
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• On a Method to Subtract off a Singularity at a Corner for the Dirichlet or Neumann Problem
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