H-matrix accelerated second moment analysis for potentials with rough correlation

Jürgen Dölz, University of Basel

2 Jun 2015, 17:00–18:30; Location: S4|10-1

After a brief introduction to the boundary element method and H-matrices we consider the efficient solution of strongly elliptic potential problems with stochastic Dirichlet data. The computation of the solution’s two-point correlation is well understood if the two-point 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 H-matrix arithmetic provides a powerful tool to cope with this problem. By employing a parametric surface representation, we end up with an H-matrix arithmetic based on balanced cluster trees. This considerably simplifies the implementation and improves the performance of the H-matrix arithmetic. Numerical experiments are presented to validate and quantify the presented methods and algorithms.

Category: CE Seminar


Technische Universität Darmstadt

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D-64293 Darmstadt

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