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Adaptive discontinuous Galerkin B-splines on parametric geometries

: Randrianarivony, M.


Murgante, B.:
Computational science and its applications - ICCSA 2011. Proceedings Pt.4 : International conference, Santander, Spain, June 20-23, 2011
Berlin: Springer, 2011 (Lecture Notes in Computer Science 6785)
ISSN: 0302-9743
ISBN: 3-642-21897-0
ISBN: 978-3-642-21897-2
ISBN: 978-3-642-21898-9
International Conference on Computational Science and Its Applications (ICCSA) <11, 2011, Santander>
Fraunhofer SCAI ()

We treat numerical simulations on exact geometries by using a discontinuous Galerkin scheme with B-spline bases. That will be realized by the interior penalty form. The initial meshless geometry is constituted of large parametric blocks. We propose an a-posteriori error indicator based on the control points of the B-spline approximations. That enables an efficient adaptive local refinement. Discrete B-splines are used for cascading conjugate gradient iterations. In addition, we provide results on single patches in two and three dimensions.