High order marching schemes for the wave equation in complex geometry

Jing Rebecca Li, Leslie Greengard

Research output: Contribution to journalArticle

Abstract

We present a new class of explicit marching schemes for the wave equation in complex geometry. They rely on a simple embedding of the domain in a uniform Cartesian grid, which allows for efficient and automatic implementation but creates irregular cells near the boundary. While existing explicit finite difference schemes are generally restricted in the size of the time step that can be taken by the dimensions of the smallest cell, the schemes described here are capable of taking time steps dictated by the uniform grid spacing. This should be of significant benefit in a wide variety of simulation efforts.

Original languageEnglish (US)
Pages (from-to)295-309
Number of pages15
JournalJournal of Computational Physics
Volume198
Issue number1
DOIs
StatePublished - Jul 20 2004

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Keywords

  • Small cell
  • Stability
  • Wave equation

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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