A conservative space-time mesh refinement method for the 1-D wave equation. II. Analysis.

Francis Collino, Thierry Fouquet and Patrick Joly

2003

Publication type:

Paper in peer-reviewed journals

Journal:

Numerische Mathematik., vol. 95, no. 2, pp. 223--251

DOI:

10.1007/s00211-002-0447-4

HAL:

hal-00989023

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.

BibTeX:

@article{Col-Fou-Jol-2003,
    author={Francis Collino and Thierry Fouquet and Patrick Joly },
    title={A conservative space-time mesh refinement method for the 1-D 
           wave equation. II. Analysis. },
    doi={10.1007/s00211-002-0447-4 },
    journal={Numerische Mathematik. },
    year={2003 },
    volume={95, no. 2 },
    pages={223--251},
}