Computational electromagnetism is concerned with the numerical study of
Maxwell equations. By choosing a discrete Gaussian measure on prism lattice, we
use discrete exterior calculus and lattice gauge theory to construct discrete
Maxwell equations in vacuum case. We implement this scheme on Java development
plateform to simulate the behavior of electromagnetic waves.
Implicit discrete exterior calculus technique for Maxwell's equations in time
domain is discussed, which provide flexibility in numerical computing Maxwell's
equations on manifold. The implicit scheme and discrete exterior calculus can
be united to find an unconditional stable approach, which is obtained by
properly defining a discrete Hodge star operator. The algorithm has been
implemented on Java development plateform.
Implicit discrete exterior calculus technique for Maxwell's equations in time
domain is discussed, which provide flexibility in numerical computing Maxwell's
equations on manifold. The implicit scheme and discrete exterior calculus can
be united to find an unconditional stable approach, which is obtained by
properly defining a discrete Hodge star operator. The algorithm has been
implemented on Java development plateform.