Bibliographic Details
| Title: |
ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION. |
| Authors: |
FEI LIU1 liufei@stanford.edu, LEXING YING2 lexing@stanford.edu |
| Source: |
Multiscale Modeling & Simulation. 2016, Vol. 14 Issue 2, p799-822. 24p. |
| Subjects: |
Helmholtz equation, Fast sweeping methods (Mathematics), Perfectly matched layers (Mathematical physics), Mathematical decomposition, Boundary value problems |
| Abstract: |
We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfectly matched layer (PML). This method divides the domain of interest into thin layers and proposes a new transmission condition between the subdomains where the emphasis is on the boundary values of the intermediate waves. This approach can be viewed as an effective approximation of an additive decomposition of the solution operator. When combined with the standard GMRES solver, the iteration number is essentially independent of the frequency. Several numerical examples are tested to show the efficiency of this new approach. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
