Publications

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 :
Reference : Numerische Mathematik - vol. 95(2) (pp 197-221 )