A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction.

Francis Collino, Thierry Fouquet and Patrick Joly

august, 2003

Publication type:

Paper in peer-reviewed journals

Journal:

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

DOI:

10.1007/s00211-002-0446-5

HAL:

hal-00989055

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.

BibTeX:

@article{Col-Fou-Jol-2003-1,
    author={Francis Collino and Thierry Fouquet and Patrick Joly },
    title={A conservative space-time mesh refinement method for the 1-D 
           wave equation. I. Construction. },
    doi={10.1007/s00211-002-0446-5 },
    journal={Numerische Mathematik },
    year={2003 },
    month={8},
    volume={95(2) },
    pages={197--221},
}