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

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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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Authors and Affiliations

  1. INRIA Rocquencourt BP105 Le Chesnay, France

    F. Collino, T. Fouquet & P. Joly

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  1. F. Collino
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  2. T. Fouquet
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  3. P. Joly
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Correspondence to P. Joly.

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Mathematics Subject Classification (2000): 65N12

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Collino, F., Fouquet, T. & Joly, P. A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis. Numer. Math. 95, 223–251 (2003). https://doi.org/10.1007/s00211-002-0447-4

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  • DOI: https://doi.org/10.1007/s00211-002-0447-4

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