Mimetic Discretizations for Maxwell ’ s Equations

  title={Mimetic Discretizations for Maxwell ’ s Equations},
  author={James M. Hyman and Mikhail J. Shashkov},
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… CONTINUE READING