%0 Conference Paper %1 10.1007/978-3-540-74739-0_43 %A Höllig, Klaus %A Hörner, Jörg %A Pfeil, Martina %B High Performance Computing in Science and Engineering `07 %C Berlin, Heidelberg %D 2008 %E Nagel, Wolfgang E. %E Kröner, Dietmar %E Resch, Michael %I Springer Berlin Heidelberg %K myown %P 667--676 %T Parallel Finite Element Methods with Weighted Linear B-Splines %X 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. %@ 978-3-540-74739-0

@inproceedings{10.1007/978-3-540-74739-0_43, 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.}, added-at = {2021-06-08T15:48:31.000+0200}, address = {Berlin, Heidelberg}, author = {H{\"o}llig, Klaus and H{\"o}rner, J{\"o}rg and Pfeil, Martina}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/205b1444fcbeae282bf984253a6ed8f3e/joerghoerner}, booktitle = {High Performance Computing in Science and Engineering `07}, editor = {Nagel, Wolfgang E. and Kr{\"o}ner, Dietmar and Resch, Michael}, interhash = {73b0f3f6b6c4688b82580d8543dc583b}, intrahash = {05b1444fcbeae282bf984253a6ed8f3e}, isbn = {978-3-540-74739-0}, keywords = {myown}, pages = {667--676}, publisher = {Springer Berlin Heidelberg}, timestamp = {2021-06-08T13:48:31.000+0200}, title = {Parallel Finite Element Methods with Weighted Linear B-Splines}, year = 2008 }