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

F. Collino, T. Fouquet, P. Joly

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)223-251
Number of pages29
JournalNumerische Mathematik
Volume95
Issue number2
DOIs
Publication statusPublished - 1 Aug 2003
Externally publishedYes

Fingerprint

Dive into the research topics of 'A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis'. Together they form a unique fingerprint.

Cite this