Fast computation of a large system of PDEs

1

Hi,

I have a general question. I know that for solving a time dependent system of PDEs I need to create a mixed finite element space and I have successfully done this before. However, I only had 5 equations in my system and it took me 2 days on an HPC cluster to get the answer. Now suppose I want to bump this number up to 30. I have heard that the memory might not support this and if it does I can imagine how much longer it will take to get an answer. So does anyone know of a method that will speed up the process or lighten the computational burden? Any hint or reference would be appreciated.

Best,

2

There are many things you might do.
First consider if you want to use a direct or iterative solver: a brief discussion of direct and iterative solvers can for instance be found here and here.

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