20150415
After a brief introduction to the boundary element method and Hmatrices we consider the efficient solution of strongly elliptic potential problems with stochastic Dirichlet data. The computation of the solution’s twopoint correlation is well understood if the twopoint correlation of the Dirichlet data is known and sufficiently smooth. Unfortunately, the problem becomes much more involved in case of rough data. We will show that the concept of the Hmatrix arithmetic provides a powerful tool to cope with this problem. By employing a parametric surface representation, we end up with an Hmatrix arithmetic based on balanced cluster trees. This considerably simplifies the implementation and improves the performance of the Hmatrix arithmetic. Numerical experiments are presented to validate and quantify the presented methods and algorithms.
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

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