A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction.

Francis Collino 1 Thierry Fouquet 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two different discretization grids which guarantees the stability of the scheme. Our approach results in a non-interpolatory scheme whose stability condition is not affected by the transition between the two grids.
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Francis Collino, Thierry Fouquet, Patrick Joly. A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction.. Numerische Mathematik, Springer Verlag, 2003, 95 (2), pp.197-221. ⟨10.1007/s00211-002-0446-5⟩. ⟨hal-00989055⟩

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