• Mathematics, Computer Science
  • Published in SIAM J. Scientific Computing 2005
  • DOI:10.1137/040604728

A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data

@article{Kreiss2005ASO,
  title={A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data},
  author={Heinz-Otto Kreiss and N. Anders Petersson},
  journal={SIAM J. Scientific Computing},
  year={2005},
  volume={27},
  pages={1141-1167}
}
The accuracy of Cartesian embedded boundary methods for the second order wave equation in general two-dimensional domains subject to Dirichlet boundary conditions is analyzed. Based on the analysis, we develop a numerical method where both the solution and its gradient are second order accurate. We avoid the small-cell stiffness problem without sacrificing the second order accuracy by adding a small artificial term to the Dirichlet boundary condition. Long-time stability of the method is… CONTINUE READING

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