Treatment of boundary singularities in two dimensional elliptic problems by Galerkin methods
John Robert Whiteman (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment”
Treatment of boundary singularities in two dimensional elliptic problems by Galerkin methods
On the , and - version of the finite element method
Babuška, Ivo
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Computation of 3D vertex singularities for linear elasticity : error estimates for a finite element method on graded meshes
Thomas Apel, Anna-Margarete Sändig, Sergey I. Solov'ev (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is concerned with the computation of 3D vertex singularities of anisotropic elastic fields with Dirichlet boundary conditions, focusing on the derivation of error estimates for a finite element method on graded meshes. The singularities are described by eigenpairs of a corresponding operator pencil on spherical polygonal domains. The main idea is to introduce a modified quadratic variational boundary eigenvalue problem which consists of two self-adjoint, positive definite...
A finite element method for domain decomposition with non-matching grids
Roland Becker, Peter Hansbo, Rolf Stenberg (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson’s equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.