Abstract.
The Galerkin and SDFEM methods are compared for a steady state convection problem. The theoretical part of this work deals with the development of approximation results for continuous solutions on the unit square containing an edge singularity. In the numerical part we verify those approximation results by considering continuous as well as discontinuous solutions to the transport problem on an annular domain with a singularity at the inner circle.
Published Online: 2013-01-03
Published in Print: 2013-01-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
- Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method
- On Cardinal Spline Interpolation
- Convection Problems on Anisotropic Meshes
- Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems
- Implementing Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions
Keywords for this article
Convection Problem;
Petrov–Galerkin;
SDFEM;
Anisotropic Mesh
Articles in the same Issue
- Masthead
- A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
- Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method
- On Cardinal Spline Interpolation
- Convection Problems on Anisotropic Meshes
- Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems
- Implementing Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions