An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method

An optimized Schwarz domain decomposition method (DDM) for solving the local optical response model (LORM) is proposed in this paper. We introduce a hybridizable discontinuous Galerkin (HDG) scheme for the discretization of such a model problem based on a triangular mesh of the computational domain....

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Bibliographic Details
Main Authors: Jia-Fen Chen, Xian-Ming Gu, Liang Li, Ping Zhou
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/4/693
Description
Summary:An optimized Schwarz domain decomposition method (DDM) for solving the local optical response model (LORM) is proposed in this paper. We introduce a hybridizable discontinuous Galerkin (HDG) scheme for the discretization of such a model problem based on a triangular mesh of the computational domain. The discretized linear system of the HDG method on each subdomain is solved by a sparse direct solver. The solution of the interface linear system in the domain decomposition framework is accelerated by a Krylov subspace method. We study the spectral radius of the iteration matrix of the Schwarz method for the LORM problems, and thus propose an optimized parameter for the transmission condition, which is different from that for the classical electromagnetic problems. The numerical results show that the proposed method is effective.
ISSN:1099-4300