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

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Summary.

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

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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 (1991): 65M12

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Collino, F., Fouquet, T. & Joly, P. A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction. Numer. Math. 95, 197–221 (2003). https://doi.org/10.1007/s00211-002-0446-5

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  • DOI: https://doi.org/10.1007/s00211-002-0446-5

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