An Efficient and Effective Preconditioner for the Discontinuous Galerkin Domain Decomposition Method of Surface Integral Equation

This paper proposes a new preconditioning technique based on a restricted additive Schwarz (RAS) approach to improve the efficiency of the discontinuous Galerkin surface integral equation method. The RAS preconditioning is implemented efficiently using an oct-tree structure derived from the multilev...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters 2023-10, Vol.22 (10), p.1-5
Main Authors: Xin, Xi-Min, Gao, Hong-Wei, Wang, Shu, Peng, Zhen, Sheng, Xin-Qing
Format: Article
Language:English
Subjects:
Additives
Algorithms
Convergence
Discontinuous galerkin
domain decomposition method
Domain decomposition methods
Feedback amplifiers
Galerkin method
Integral equations
Iterative methods
Iterative solution
Matrix decomposition
Method of moments
multilevel fast multipole algorithm
Multipoles
Octrees
Preconditioning
schwarz preconditioning
surface integral equation
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Summary:This paper proposes a new preconditioning technique based on a restricted additive Schwarz (RAS) approach to improve the efficiency of the discontinuous Galerkin surface integral equation method. The RAS preconditioning is implemented efficiently using an oct-tree structure derived from the multilevel fast multipole algorithm (MLFMA) and is constructed using near-field matrices associated with boxes at the finest level. Compared to existing domain decomposition preconditioning methods based on subdomain block matrices, the proposed RAS preconditioning significantly reduces computation time and memory requirements, while providing scalable convergence for iterative solutions. Numerical experiments are presented to demonstrate the performance of the proposed cost-effective preconditioning technique.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2023.3288535