A nonconforming combination for solving elliptic problems with interfaces

DOI10.1016/0021-9991(89)90101-0zbMath0694.65053OpenAlexW1975490803MaRDI QIDQ909422

N. E. Zubov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90101-0

zbMATH Keywords

finite element methodsingular pointerror estimatenumerical experimentRitz-Galerkin methodinterface problem

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

The method of fundamental solutions and its combinations for exterior problems, A combined method for solving elliptic problems on unbounded domains, Singularities and treatments of elliptic boundary value problems.

Cites Work

• An approach for combining the Ritz-Galerkin and finite element method
• An efficient method for subtracting off singularities at corners for Laplace's equation
• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• Local mesh refinement with finite elements for elliptic problems
• On the use of singular functions with finite element approximations
• Angular singularities of elliptic problems
• Generalized finite element analysis with T-complete boundary solution functions
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• 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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