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Timestepping Schemes Based On Time Discontinuous Galerkin Methods

Thorsten Schindler 1 Vincent Acary 1
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : The contribution deals with timestepping schemes for nonsmooth dynamical systems. So far, these schemes are locally of order one, both in smooth and nonsmooth segments. This is inefficient for applications with few events like circuit breakers. To consistently improve the behavior during smooth episodes, the traditional schemes are being embedded in time discontinuous Galerkin methods. After establishing the correct mathematical setting, a Petrov-Galerkin distributional differential inclusion is outlined. The bouncing ball example illustrates the capabilities.
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https://hal.inria.fr/inria-00609888
Contributor : Vincent Acary Connect in order to contact the contributor
Submitted on : Wednesday, July 20, 2011 - 2:14:37 PM
Last modification on : Tuesday, October 19, 2021 - 11:12:58 PM

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  • HAL Id : inria-00609888, version 1

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Thorsten Schindler, Vincent Acary. Timestepping Schemes Based On Time Discontinuous Galerkin Methods. ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, SIAM, Jul 2011, Vancouver, Canada. ⟨inria-00609888⟩

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