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Title : |
A conservative space-time mesh refinement method for the 1-D wave equation. II. Analysis. |
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Year : |
2003 |
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Type : |
paper in peer-reviewed journal |
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Authors : |
F. Collino, T. Fouquet, P. Joly |
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Abstract : |
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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Themes : |
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Reference : |
Numerische Mathematik. - vol. 95, no. 2 (pp 223--251 ) |
