A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction. - Archive ouverte HAL Access content directly
Journal Articles Numerische Mathematik Year : 2003

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

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.

Dates and versions

hal-00989055 , version 1 (09-05-2014)

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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, 2003, 95 (2), pp.197-221. ⟨10.1007/s00211-002-0446-5⟩. ⟨hal-00989055⟩
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