[petsc-users] Need help: Poisson's equation with complex number

[Yaoyu Hu]

Hi everyone,

I am now trying to solve a partial differential equation which is
similar to the three dimensional Poisson’s equation but with complex
numbers. The equation is the result of the transformation of a set of
fluid dynamic equations from time domain to frequency domain. I have
Dirichlet boundary conditions all over the boundaries. The coefficient
matrix that obtained by finite volume method (with collocated grid) is
made of complex numbers. I would like to know that, for my discretized
equation which solver and PC are the most suitable to work with. And
BTW, the solution should be done in parallel with about 10^4 - 10^6
unknowns.

It is the first time for me to solve equations with complex numbers,
however, I am not so good at mathematics involving complex number. I
would like to know want should I bear in mind throughout the whole
process? Any suggestions or comments are appreciated.

Thanks!

HU Yaoyu