Title : |
A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction. |
Year : |
2003 |
Type : |
paper in peer-reviewed journal |
Authors : |
F. Collino, T. Fouquet, P. Joly |
Abstract : |
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. |
Themes : |
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Reference : |
Numerische Mathematik - vol. 95(2) (pp 197-221 ) |