Stable, high-order discretization for evolution of the wave equation in 2 + 1 dimensions

Authors:
Stephen Wandzura
Affiliations:
HRL Laboratories, LLC, Computational Physics, 3011 Malibu Canyon Rd., Malibu, CA
Venue:
Journal of Computational Physics
Year:
2004

Citing 4
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High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations

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Abstract

In a previous paper, it was shown that consistent high-order discretization can make a Lax-Wendroff method stable in the presence of small cells near the boundary in one space and one time dimension. Here I show that a straightforward extension of this approach to two space dimensions is similarly successful.