We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrat
Nonreflecting Boundary Conditions for Maxwell's Equations
β Scribed by Marcus J Grote; Joseph B Keller
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 234 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
Exact nonreflecting boundary conditions are derived for the time dependent Maxwell equations in three space dimensions. These conditions hold on a spherical surface B, outside of which the medium is assumed to be homogeneous, isotropic, and source-free. They are local in time and nonlocal on B, and they do not involve high-order derivatives. Thus, they are easy to incorporate into finite difference or finite element methods. These boundary conditions are similar to the exact nonreflecting boundary conditions for the scalar wave equation which yield high numerical accuracy.
π SIMILAR VOLUMES
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