# Poisson eq and conjugate gradient method

 User Name Remember Me Password
 Register Blogs Members List Search Today's Posts Mark Forums Read

 February 25, 1999, 04:38 Poisson eq and conjugate gradient method #1 Gary Dantinne Guest   Posts: n/a Hi, I got some problems trying to simulate a Poisson equation in 2D with periodic boundary condition (for testing purpose). I use finite element discretization with bilinear functions on a regular mesh and I solve the equation with a conjugate gradient iterative solver. The solver doesn't seem to converge quickly. Is it expected and well known? I am also looking for a preconditioner. Is it possible to find one which can be use on a element level without building the global matrix (and which is efficient of course)? Thanks for help Gary

 February 25, 1999, 09:40 Re: Poisson eq and conjugate gradient method #2 Gary Dantinne Guest   Posts: n/a Oups I forgot to say that I impose a nodal value inside the domain.

 March 19, 1999, 01:24 Re: Poisson eq and conjugate gradient method #3 timea Guest   Posts: n/a If the matrix (Ax=b) you finally have to solve is symmetric and positive definite, it will converge at any intial values of x0 (initially assumed approximate solution vector). And for a preconditioner, I think, Jacobi or SSOR can be used. And IC-CG, ILU-CG, MILU-CG have been reported to give more fast convergence. But the convergence rates depend on the matrix type you have to solve. So, at first, check the matrix you have to solve.

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

All times are GMT -4. The time now is 19:41.

 Contact Us - CFD Online - Top