Seminars & Events

Mathematics and Computer Science Division
"Sweeping Preconditioners for Finite Element Methods in Time-Harmonic Wave Propagation"

DATE:
TIME: 10:30 AM - 11:30 AM
SPEAKER: Paul Tsuji, Wilkinson Fellowship Interviewee
LOCATION: Building 240, Seminar Room 4301, Argonne National Laboratory
HOST: Mihai Anitescu

Description:
This talk is concerned with preconditioning the system matrix resulting from finite element discretizations of time harmonic wave equations, such as Maxwell's equations in the frequency domain or the Helmholtz equation. The moving PML sweeping preconditioner, first introduced on a Cartesian finite difference grid, is generalized to an unstructured mesh with finite elements. The method dramatically reduces the number of GMRES iterations necessary for convergence, resulting in an almost linear complexity solver. Numerical examples including electromagnetic cloaking simulations are presented to demonstrate the efficiency of the proposed method.

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