We describe a new method for generating meshes that minimize the gradient of a discretization error. The key element of this method is construction of a tensor metric from edge-based error estimates. In our papers [1][2][3][4] we applied this metric for generating meshes that minimize the gradient o
Adaptive finite element-boundary element solution of boundary value problems
β Scribed by O. Steinbach
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 513 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
An adaptive finite element-boundary element algorithm is proposed to compute an approximate solution of a given boundary value problem. The convergence in H 1 (O) is controlled by a boundary element based a-posteriori error estimator from which an adaptive refinement strategy is derived. Corresponding error estimates are given based on appropriate boundary element error estimates in negative Sobolev norms. ~
π SIMILAR VOLUMES
The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1-D and 2-D diffusion-convection equations and to non-linear similarity equat
## Abstract This paper compares three methods for dealing with an exterior boundary value problem by the Finite Element Method, one of which involves using an infinite element. The methods are illustrated by application to the problem of ground water flow round a tunnel with permeable invert. The u