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