Dear all, I am solving a convected wave equation in a frequency domain. This equation is a 3D Helmholtz equation with added first-order derivatives and mixed derivatives, and with complex coefficients. The discretized PDE results in a sparse linear system (about 10^6 equations) which is solved in PETSc. I am having difficulty with the code convergence at high frequency, skewed grid, and high Mach number. I suspect it may be due to the preconditioner I use. I am currently using the ILU preconditioner with the number of fill levels 2 or 3, and BCGS or GMRES solvers. I suspect the state of the art has evolved and there are better preconditioners for Helmholtz-like problems. Could you, please, advise me on a better preconditioner?
Thanks, Alexey -- Alexey V. Kozlov Research Scientist Department of Aerospace and Mechanical Engineering University of Notre Dame 117 Hessert Center Notre Dame, IN 46556-5684 Phone: (574) 631-4335 Fax: (574) 631-8355 Email: akoz...@nd.edu
