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Mimetic discretizations for Maxwell`s equations

Journal Article · · Journal of Computational Physics
;  [1]
  1. Los Alamos National Lab., NM (United States)

The authors have constructed reliable finite difference methods for approximating the solution to Maxwell`s equations using accurate discrete analogs of differential operators that satisfy the identifies 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.

Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
355649
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 151; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English