A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

F. Collino; T. Fouquet; P. Joly

doi:10.1007/s00211-002-0446-5

A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

F. Collino
, T. Fouquet
, P. Joly

INRIA Rocquencourt

Research output: Contribution to journal › Article › peer-review

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-interpolator scheme whose stability condition is not affected by the transition between the two grids.

Original language	English
Pages (from-to)	197-221
Number of pages	25
Journal	Numerische Mathematik
Volume	95
Issue number	2
DOIs	https://doi.org/10.1007/s00211-002-0446-5
Publication status	Published - 1 Aug 2003
Externally published	Yes

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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-interpolator scheme whose stability condition is not affected by the transition between the two grids.",

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AB - 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-interpolator scheme whose stability condition is not affected by the transition between the two grids.

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A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

Abstract

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