# 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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