Numerische Mathematik

, Volume 95, Issue 2, pp 223–251 | Cite as

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

Article

Summary.

We introduced in [2] 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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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.INRIA Rocquencourt BP105 Le ChesnayFrance

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