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Mimetic Discretizations for Maxwell's Equations

✍ Scribed by James M. Hyman; Mikhail Shashkov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
226 KB
Volume
151
Category
Article
ISSN
0021-9991

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✦ Synopsis

We have constructed reliable finite difference methods for approximating the solution to Maxwell's equations using accurate discrete analogs of differential operators that satisfy the identities and theorems of vector and tensor calculus in discrete form. The numerical approximation does not have spurious modes and mimics many fundamental properties of the underlying physical problem including conservation laws, symmetries in the solution, and the nondivergence of particular vector fields. Numerical examples demonstrate the high quality of the method when the medium is strongly discontinuous and for nonorthogonal, nonsmooth computational grids.

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