Yuesu,
I am adding an absorbing boundary condition like step-24 did in the
frequency domain, in which the time derivative gives a complex term. I also
found the complex acoustic wave problem step-29 which splits the complex wave
function into two real parts.
What I want to know is what if I directly set up the matrix and rhs vector
as complex<double> ? Why does step-29 says "/it is often more convenient to
split complex valued functions into their real and imaginary parts and use
separate scalar finite element fields for discretizing each one of them/" ?
The problem is that we don't have iterative solvers for problems in which the
matrix and vectors store complex values. We can, however, use PETSc's
complex-valued solvers as well as the SparseDirectUMFPACK solver. I think you
probably want to look at step-62 and step-58 for other options.
Best
W.
--
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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