Adaptive discontinuous Galerkin B-splines on parametric geometries

Authors:
Maharavo Randrianarivony
Affiliations:
Institute for Numerical Simulation, Bonn, Germany
Venue:
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
Year:
2011

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Abstract

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.