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Mimetic discretizations for Maxwell equations and the equations of magnetic diffusion

Conference ·
OSTI ID:658345

The authors construct reliable finite difference methods for approximating the solutions Maxwell`s equations and equations of magnetic field diffusion using discrete analogs of differential operators that satisfy the identities and theorems of vector and tensor calculus in discrete form. These methods mimic many fundamental properties of the underlying physical problem including the conservation laws, the symmetries in the solution, the nondivergence of particular vector fields and they do not have spurious modes. The constructed method can be applied in case of strongly discontinuous properties of the media for nonorthogonal and nonsmooth computational grids.

Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE Office of Energy Research, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
658345
Report Number(s):
LA-UR--97-5158; CONF-980626--; ON: DE98004361
Country of Publication:
United States
Language:
English

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