Adaptiveh‐,p‐ andhp‐versions for boundary integral element methods
- 1 June 1989
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 28 (6) , 1335-1349
- https://doi.org/10.1002/nme.1620280608
Abstract
Recently very promising results in a so‐calledhp‐version of the finite element method have been obtained. The basic idea is a balanced combination of mesh refinement and increase of the polynomial degree of the shape functions. This idea is applied to a boundary collocation method in this paper. The new method is compared with adaptiveh‐ andp‐versions and it is shown in numerical examples that even in the presence of singularities in the exact solution exponential convergence is obtained.Keywords
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