Two practical and effective, h-~p-type. finite element adaptive procedures are presented. The procedures allow not only the final global energy norni error to be well estimated using hierarchic p-refinement, but in addition give a nearly optimal mesh. The de'sign of this is guided by the local infor
Adaptive h-, p- and hp-versions for boundary integral element methods
β Scribed by Ernst Rank
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 756 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0029-5981
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An adaptive solver for large-scale hierarchic finite element systems has been developed. A decision-making methodology aimed at selecting an optimal solution strategy on the basis of estimated conditioning, sparsity and memory requirements for a given problem has been devised. Numerical experiments
## Abstract This paper applies the technique of the __h__β__p__ version to the boundary element method for boundary value problems on nonβsmooth, plane domains with piecewise analytic boundary and data. The exponential rate of convergence of the boundary element Galerkin solution is proved when a g