Application of timestepping schemes based on time discontinuous Galerkin methods to multi-dimensional examples

Thorsten Schindler 1 Vincent Acary 2
2 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : Classic timestepping schemes for nonsmooth dynamical systems are locally of integration order one both in smooth and nonsmooth periods. A consistent enhancement based on time discontinuous Galerkin methods and splitting of smooth and nonsmooth force propagation is presented. Convergence and general behaviour are discussed with different multi-dimensional examples with and without considering friction.
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Thorsten Schindler, Vincent Acary. Application of timestepping schemes based on time discontinuous Galerkin methods to multi-dimensional examples. Euromech 514 - New trends in Contact Mechanics, Michel Raous, Peter Wriggers, Mar 2012, Cargèse, France. ⟨hal-00691477⟩

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