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Conference Papers Year : 2017

Palindromic Discontinuous Galerkin Method


We present a high-order scheme for approximating kinetic equations with stiff relaxation. The construction is based on a high-order, implicit, upwind Discontinuous Galerkin formulation of the transport equations. In practice, because of the triangular structure of the implicit system, the computations are explicit. High order in time is achieved thanks to a palindromic composition method. The whole method is asymptotic-preserving with respect to the stiff relaxation and remains stable even with large CFL numbers.
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hal-01653049 , version 1 (01-12-2017)



David Coulette, Emmanuel Franck, Philippe Helluy, Michel Mehrenberger, Laurent Navoret. Palindromic Discontinuous Galerkin Method. Finite volumes for complex applications VIII—hyperbolic, elliptic and parabolic problems, Jun 2017, Lille, France. pp.6, ⟨10.1007/978-3-319-57394-6_19⟩. ⟨hal-01653049⟩
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