A second order accurate embedded boundary method for the wave equation with Dirichlet data
Description:
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 obtain…
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Date:
March 2, 2004
Creator:
Kreiss, H O & Petersson, N A
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