• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

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

作者信息

Chen Jia-Fen, Gu Xian-Ming, Li Liang, Zhou Ping

机构信息

School of Mathematics and Computer Science, Chongqing College of International Business and Economics, Chongqing 401520, China.

School of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China.

出版信息

Entropy (Basel). 2023 Apr 19;25(4):693. doi: 10.3390/e25040693.

DOI:10.3390/e25040693
PMID:37190481
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10137555/
Abstract

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.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/bebac69c1cdb/entropy-25-00693-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/405260c514b7/entropy-25-00693-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/eb0eed9dff88/entropy-25-00693-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/a498420d9923/entropy-25-00693-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/c724b94c2bb8/entropy-25-00693-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/4b371229ad66/entropy-25-00693-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/eaa782d15aa4/entropy-25-00693-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/bebac69c1cdb/entropy-25-00693-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/405260c514b7/entropy-25-00693-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/eb0eed9dff88/entropy-25-00693-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/a498420d9923/entropy-25-00693-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/c724b94c2bb8/entropy-25-00693-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/4b371229ad66/entropy-25-00693-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/eaa782d15aa4/entropy-25-00693-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/28b4/10137555/bebac69c1cdb/entropy-25-00693-g007.jpg

相似文献

1
An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method.
Entropy (Basel). 2023 Apr 19;25(4):693. doi: 10.3390/e25040693.
2
A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems.一种用于椭圆问题间断伽辽金离散化的大规模并行非重叠加法施瓦茨方法。
Numer Math (Heidelb). 2016;132(2):347-367. doi: 10.1007/s00211-015-0718-5. Epub 2015 Apr 1.
3
How to Best Choose the Outer Coarse Mesh in the Domain Decomposition Method of Bank and Jimack.
Vietnam J Math. 2022;50(4):867-899. doi: 10.1007/s10013-022-00571-6. Epub 2022 May 24.
4
An Inexact Newton-Krylov Algorithm for Constrained Diffeomorphic Image Registration.一种用于约束微分同胚图像配准的不精确牛顿-克里洛夫子算法
SIAM J Imaging Sci. 2015;8(2):1030-1069. doi: 10.1137/140984002. Epub 2015 May 5.
5
An adaptive hybridizable discontinuous Galerkin approach for cardiac electrophysiology.一种用于心脏电生理学的自适应可杂交间断伽辽金方法。
Int J Numer Method Biomed Eng. 2018 May;34(5):e2959. doi: 10.1002/cnm.2959. Epub 2018 Feb 12.
6
Chebyshev polynomial filtered subspace iteration in the discontinuous Galerkin method for large-scale electronic structure calculations.用于大规模电子结构计算的间断伽辽金方法中的切比雪夫多项式滤波子空间迭代
J Chem Phys. 2016 Oct 21;145(15):154101. doi: 10.1063/1.4964861.
7
An aneurysm-specific preconditioning technique for the acceleration of Newton-Krylov method with application in the simulation of blood flows.一种用于加速牛顿-克里洛夫方法的动脉瘤特异性预处理技术及其在血流模拟中的应用。
Int J Numer Method Biomed Eng. 2023 Dec;39(12):e3771. doi: 10.1002/cnm.3771. Epub 2023 Sep 9.
8
Flexible Krylov Methods for Edge Enhancement in Imaging.用于成像中边缘增强的灵活克里洛夫方法。
J Imaging. 2021 Oct 18;7(10):216. doi: 10.3390/jimaging7100216.
9
Krylov subspace iterative methods for boundary element method based near-field acoustic holography.
J Acoust Soc Am. 2005 Feb;117(2):711-24. doi: 10.1121/1.1841511.
10
Direct solution of the volume integral equation for electromagnetic scattering from dielectric objects with negative permittivity.具有负介电常数的电介质物体电磁散射体积积分方程的直接求解
J Opt Soc Am A Opt Image Sci Vis. 2021 Jul 1;38(7):1015-1023. doi: 10.1364/JOSAA.422193.

本文引用的文献

1
Nonlocal optical response in metallic nanostructures.金属纳米结构中的非局域光学响应。
J Phys Condens Matter. 2015 May 13;27(18):183204. doi: 10.1088/0953-8984/27/18/183204. Epub 2015 Apr 20.
2
A generalized non-local optical response theory for plasmonic nanostructures.用于等离子体纳米结构的广义非局域光学响应理论。
Nat Commun. 2014 May 2;5:3809. doi: 10.1038/ncomms4809.
3
Modified field enhancement and extinction by plasmonic nanowire dimers due to nonlocal response.由于非局部响应，等离子体纳米线二聚体引起的修正场增强和消光。
Opt Express. 2012 Feb 13;20(4):4176-88. doi: 10.1364/OE.20.004176.