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“Multilevel Filtering Preconditioners: Extensions to More General Elliptic Problems”
by Charles H. Tong, Tony F. Chan and C.C. Jay Kuo
December 1990
We briefly review the concept of multilevel filtering (MF) preconditioners applied to second-order self-adjoint elliptic problems. We then show how to effectively apply this concept to other elliptic problems such as the second-order anisotropic problem, Helmholtz equation, convection-diffusion equation, biharmonic equation, equations on locally refined grids and interface operators arising from domain decomposition methods. Numerical results are given to show the effectiveness of the MF preconditioners on these problems.