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

F. Collino; T. Fouquet; P. Joly

doi:10.1007/s00211-002-0447-4

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

F. Collino
, T. Fouquet
, P. Joly

INRIA Rocquencourt

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

33 Citations (Scopus)

Abstract

We introduced in 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. In this second part, we analyse the accuracy of this scheme in a detailed way by means of a plane wave analysis and numerical experiments that permit us to point out spurious numerical phenomena and explain how to control them.

Original language	English
Pages (from-to)	223-251
Number of pages	29
Journal	Numerische Mathematik
Volume	95
Issue number	2
DOIs	https://doi.org/10.1007/s00211-002-0447-4
Publication status	Published - 1 Aug 2003
Externally published	Yes

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abstract = "We introduced in 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. In this second part, we analyse the accuracy of this scheme in a detailed way by means of a plane wave analysis and numerical experiments that permit us to point out spurious numerical phenomena and explain how to control them.",

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AB - We introduced in 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. In this second part, we analyse the accuracy of this scheme in a detailed way by means of a plane wave analysis and numerical experiments that permit us to point out spurious numerical phenomena and explain how to control them.

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

Abstract

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