Dear deal.II users and developers,

I'm trying to solve inhomogeneous Maxwellian equations in 4-potential
form in 3D space. In terms of math it is equivalent to solving a system
of 4 independent scalar wave equations. I'm using "free space" b/c of
Neumann type, calculated via solving an integral boundary problem. The
initial state is stationary (i.e. no external wave sources), so the
"input data" are RHS functions. The EM spectrum is assumed to be quite
wide, so, in contrast to the usual approach to Maxwellian equations,
the problem is solved in the temporal domain.

This approach produces artifacts of wave reflection from the
computational domain borders. It seems that to combat the issue some
kind of PML or ABC has to be introduced, which are commonly formulated
in frequency domain.

What literature would you suggest that deals with PML-like boundaries
specifically in the temporal domain?

Best regards,
Alexander

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