So our team has been able to code up a BiCGStab implementation for a class project, and we'd like a potential example problem to try it out on.So far, we've talked about a 1D Laplacian with Neumann boundaries (so the matrix becomes nonsymmetric), but I am strongly inclined to demonstrate at least a very slightly more exotic problem that can be shown using the BiCGStab.Given the time and skill constraints, a steady-state problem description would be idea, since no one in the team has a decent idea about time propagation, and our implementation of the BiCGStab is fairly naive (slow).Any suggestions for a demo problem for our solver would be greatly appreciated.
Example Problem to Demonstrate BiCGStab
numerical analysis;iterative method;nonlinear programming
Check out Matrix Market. It has a nice collection of matrices from different areas (fluid dynamics, elasticity, acoustics etc.)So you do not need to assemble systems yourself in order to provide decent test cases.Matrices are provided in ASCIIformat (Matrix Market and HarwellBoeing). I do not know what language your team uses, but you can easily find I/O routines for C/C++, Matlab, Python, and FORTRAN on the website. Mathematica has these routines built in (MTX, HB).