Solve Poisson Problem with Finite Difference using parallelization

Hi, I am trying to solve the poisson problem with finite difference. However, depending on the grid size, the calculation may take time. That's why I want to using parallelism. I already solved this problem using and I would like to do it on matlab. Is there any way in matlab to solve two subproblems in parallel that need to communicate with each other?

Thank you

Answer 1

[Edric Ellis]

You might consider using SPMD blocks within MATLAB - these run blocks of code in parallel, and allow communication using the labSend / labReceive family of functions.

[Kilian Thomas]

thank you. I think it could work with this. I only need to have the parallel tool now.

thank you :)

Answer 2

[Ahmet Cecen]

Poisson equation boils down to a simple Ax=b problem. If you have the parallel computing toolbox, using mldivide (or the plain \ operator) will automatically exploit all available threads. Otherwise, I would look into 3rd party MP/MPI implementations for MATLAB.

[Kilian Thomas]

Because I am using finite difference, the problem is solved iteratively using Gauss Seidel method, and not a linear problem (obtained with finite element)

[Ahmet Cecen]

Gauss Seidel is an iterative method to solve LINEAR problems of the exact form Ax=b. Your problem is very much linear. The choice of not using mldivide is I am guessing due to the fact that you are interested in a transient solution rather than steady state, which was not clear in your question.

[Kilian Thomas]

Yes sorry. You are totally right. I will have a look at your solution too. It could be much faster. Thank you :)