Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems

Abstract : This paper explores a family of generalized sweeping preconditionners for Helmholtz problems with non-overlapping checkerboard partition of the computational domain. The domain decomposition procedure relies on high-order transmission conditions and cross-point treatments, which cannot scale without an efficient preconditioning technique when the number of subdomains increases. With the proposed approach, existing sweeping preconditioners, such as the symmetric Gauss-Seidel and parallel double sweep preconditioners, can be applied to checkerboard partitions with different sweeping directions (e.g. horizontal and diagonal). Several directions can be combined thanks to the flexible version of GMRES, allowing for the rapid transfer of information in the different zones of the computational domain, then accelerating the convergence of the final iterative solution procedure. Several two-dimensional finite element results are proposed to study and to compare the sweeping preconditioners, and to illustrate the performance on cases of increasing complexity.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03240042
Contributor : Ruiyang Dai <>
Submitted on : Friday, May 28, 2021 - 4:25:41 PM
Last modification on : Wednesday, June 2, 2021 - 3:38:22 AM

File

paperMSP_preprint.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03240042, version 1

Citation

Ruiyang Dai, Axel Modave, Jean-François Remacle, Christophe Geuzaine. Multidirectionnal sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems. 2021. ⟨hal-03240042⟩

Share

Metrics

Record views

67

Files downloads

8