Parallel Finite Element Methods with Weighted Linear B-Splines

Klaus Höllig, Jörg Hörner and Martina Pfeil
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Klaus Höllig: University of Stuttgart, IMNG
Jörg Hörner: University of Stuttgart, IMNG
Martina Pfeil: University of Stuttgart, IMNG

A chapter in High Performance Computing in Science and Engineering `07, 2008, pp 667-676 from Springer

Abstract: Abstract Weighted extended B-splines (web-splines) combine the computational efficiency of B-splines and the geometric flexibility of standard finite elements on unstructured meshes. These new finite elements on uniform grids (cf. [5] and www.webspline. de) are ideally suited for vectorization, parallelization and multilevel techniques. In this project we explore the potential of the web-method for large scale applications with performance tests on the NEC SX-8 cluster of the HLRS. We implement a new minimal degree variant which uses predefined instruction sequences for matrix assembly and is almost as efficient as a difference scheme on rectangular domains.

Date: 2008
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DOI: 10.1007/978-3-540-74739-0_43

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