On Tue, 2023-01-17 at 19:17 -0700, Wolfgang Bangerth wrote: > On 1/16/23 06:29, Alexander Kiselyov wrote: > > 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? > > I don't actually have much experience with PML-type boundary > conditions > myself, but there are quite a number of papers on the topic: > https://scholar.google.com/scholar?hl=en&as_sdt=0%2C6&q=perfectly+matched+layer+time+domain&btnG= > > There are of course also absorbing boundary conditions for time- > domain > problems. These range for relatively simple "impedance" conditions > that relate > Dirichlet to Neumann values (i.e., they are of Robin type) to much > more > complex ones like those you can find in the works of Marcus Grote, > Joe Keller, > and Tom Hagstrom. > > Best > W. > > -- > --------------------------------------------------------------------- > --- > Wolfgang Bangerth email: > [email protected] > www: > http://www.math.colostate.edu/~bangerth/ > >
Thank you very much for the answer, Wolfgang! I'll try to search for more literature on the topic. Best regards, Alexander -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/24eeac2fb3f12892e24f9d9a7e99a3fe4e0b98e5.camel%40gmail.com.
