confi999
Junior Member level 3
sparce matrix solve
My work is on implicit FDTD method which allows time step (delta_t) above CFL limit. Implicit methods require one to solve a large sparse matrix. If delta_t is increased the the solution of this sparse matrix becomes slower. I can see this when I do the simulation with the implicit scheme.
But my query is about mathematical explanation of what happens when I increase delta_t. How the properties of the matrix change with the change of delta_t which ultimately lead to poor convergence. Identifying this is very important as by this I can attempt to do something (like using appropriate pre-conditioners etc ) to accelerate the solution. Can you advise me which properties of the sparse matrix do I actually need to look into.
Also any advice on some easy literature / books where I can get a good understanding on this would be highly appreciated. If this is not a suitable
forum for this can you please refer me to some other more appropriate forum
where I can get advice on mathematical issues like this. Thank you very much.
My work is on implicit FDTD method which allows time step (delta_t) above CFL limit. Implicit methods require one to solve a large sparse matrix. If delta_t is increased the the solution of this sparse matrix becomes slower. I can see this when I do the simulation with the implicit scheme.
But my query is about mathematical explanation of what happens when I increase delta_t. How the properties of the matrix change with the change of delta_t which ultimately lead to poor convergence. Identifying this is very important as by this I can attempt to do something (like using appropriate pre-conditioners etc ) to accelerate the solution. Can you advise me which properties of the sparse matrix do I actually need to look into.
Also any advice on some easy literature / books where I can get a good understanding on this would be highly appreciated. If this is not a suitable
forum for this can you please refer me to some other more appropriate forum
where I can get advice on mathematical issues like this. Thank you very much.
