Dear Dr. Bangerth,
   Thank you very much! I found step-62 yesterday and I have compared the
difference between them.  I want to write two versions and compare their
CPU time to get an exact result.
Best regards,
Yuesu

On Sun, Aug 16, 2020 at 7:19 PM Wolfgang Bangerth <bange...@colostate.edu>
wrote:

> 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.
>
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 bange...@colostate.edu
>                             www: http://www.math.colostate.edu/~bangerth/
>
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-- 
Yuesu Jin,
Ph.D student,
University of Houston,
College of Natural Sciences and Mathematics,
Department of Earth and Atmospheric Sciences,
Houston, Texas 77204-5008
346-404-2062

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