A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis

@article{Collino2003ACS,
  title={A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis},
  author={Francis Collino and Thierry Fouquet and Patrick Joly},
  journal={Numerische Mathematik},
  year={2003},
  volume={95},
  pages={223-251}
}
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. 

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Showing 1-8 of 8 references

A conservative space-time mesh refinement method for the 1-d wave equations: Construction

  • F. Collino, T. Fouquet, P. Joly
  • Numer. Math. 95(2), 197–221
  • 2003
Highly Influential
5 Excerpts

Raffinement de maillage spatio temporel pour les équations de Maxwell. Université Paris IX Dauphine, June 2000 Space-time Mesh Refinement Method for the 1-D Wave Equation

  • T. Fouquet
  • 2000
2 Excerpts

Analyse numérique d’une méthode de raffinement demaillage espace-temps pour l’équation des ondes

  • F. Collino, T. Fouquet, P. Joly
  • 1998

A local mesh refinement algorithm for the time-domain finite-difference method to solve Maxwell’s equations

  • I. S. Kim, W.J.R. Hoefer
  • IEEE Trans. Microwave Theory Tech. 38(6), 812–815
  • 1990
1 Excerpt

Fast Transforms Algorithms Analyses Applications., volume H-19

  • D. F. Elliot, K. Ramamohan rao
  • 1982

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