W. Rieger
University of Stuttgart
19 Papers
142 Citations
W. Rieger is an academic researcher from University of Stuttgart. The author has contributed to research in topics: Scattering & Inverse scattering problem. The author has an hindex of 7, co-authored 19 publications.
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Papers
Fast BEM computations with the adaptive multilevel fast multipole method
TL;DR: This paper presents an adaptive multilevel fast multipole method for the solution of electrostatic problems with the BEM and shows, that in practice the storage requirements and computational costs are approximately proportional to N and therefore even large three dimensional problems can be solved on a relative small computer.
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BEM computations using the fast multipole method in combination with higher order elements and the Galerkin method
TL;DR: A new approach to the adaptive multilevel fast multipole method in combination with higher order elements and the Galerkin method is presented, showing that very large static problems with complex geometrical configuration can be solved on a small computer.
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Fast field computations with the fast multipole method
TL;DR: It is presented that the computational costs can be strongly shortened, when the multipole method is not only used for the solution of the system of linear equations but also for the field computation in arbitrary points.
16
Inverse 3D acoustic and electromagnetic obstacle scattering by iterative adaptation
TL;DR: The inverse three-dimensional time-harmonic scattering problem of reconstructing the starlike and smooth boundary Γ of an impenetrable obstacle from its far field scattering data, for both, the acoustic and electromagnetic case, is considered and an approach that employs weak a priori knowledge by choosing an auxiliary curve gG inside the searched boundary Λ is used.
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A boundary element formulation using higher order curvilinear edge elements
TL;DR: In this article, higher order edge elements of quadrilateral shape are proposed for the field approximation on curved surfaces, where the tangential component of the unknown field variable is interpolated by the edge element.
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