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Schwarz and Schur: A Note on Finite Volume Domain Decomposition for Advection-Diffusion

机译：schwarz和schur：关于平流 - 扩散的有限体区域分解的一个注记

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摘要

For advection-diffusion, domain decomposition methods based up Schwarz iterationand those based upon iteration on the Schur complement matrix have developed more or less separately in literature. In a few special cases multiplicative Schwarz iteration has been proved to be equivalent with a Schur iteration. In this paper we present an alternate and more general proof, including additive Schwarz iteration as well.

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作者
Wilders, P.; Brakkee, E.;
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年度 1995
页码 p.1-12
总页数 12
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Domain decomposition; Advection-diffusion; Finite volumes;

机译：区域分解;平流扩散;有限体积;

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1. A FINITE VOLUME VENTCELL-SCHWARZ ALGORITHM FOR ADVECTION-DIFFUSION EQUATIONS [J] . LAURENCE HALPERN, FLORENCE HUBERT SIAM Journal on Numerical Analysis . 2014,第3期

机译：求解扩散方程的有限体积VENTCELL-SCHWARZ算法
2. Third- and fifth-order finite volume schemes for advection-diffusion equation with variable coefficients in semi-infinite domain [J] . Gharehbaghi Amin Water and Environment Journal . 2017,第2期

机译：半无限域中变系数对流扩散方程的三阶和五阶有限体积格式
3. A Parallel Direct Domain Decomposition Solver Based on Schur Complement for Electromagnetic Finite Element Analysis [J] . Zuo Sheng, Lin Zhongchao, Garcia-Donoro Daniel, IEEE Antennas and Wireless Propagation Letters . 2021,第4期

机译：基于SCUR补充的平行直接域分解求解器，用于电磁有限元分析
4. A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations [C] . Laurence Halpern, Florence Hubert International Conference on Domain Decomposition Methods . 2014

机译：对流扩散方程的有限体积Ventcell-Schwarz算法
5. Scalable Hybrid Schwarz Domain Decomposition Algorithms to Solve Advection-Diffusion Problems [D] . Chakravarty, Lopamudra. 2018

机译：可扩展的混合施瓦茨域分解算法解决平流扩散问题
6. Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations [O] . Varun Shankar, Aaron L. Fogelson -1

机译：对流扩散方程基于径向粘度的径向基函数-有限差分（RBF-FD）离散化的稳定化
7. CONVERGENCE STUDY OF A NON-STANDARD SCHWARZ DOMAIN DECOMPOSITION METHOD FOR FINITE ELEMENT MESH TRUNCATION IN ELECTRO-MAGNETICS [O] . Raul Fernandez-Recio, Luis E. Garcia-Castillo, Sergio Llorente-Romano, 2011

机译：电磁电磁有限元网眼截断非标准施瓦茨域分解方法的收敛研究
8. One Level Krylov-Schwarz Domain Decomposition for Finite Volume Advection-Diffusion [R] . Wilders, P., Fotia, G. 1996

机译：有限体积平流扩散的一级Krylov-schwarz区域分解

Schwarz and Schur: A Note on Finite Volume Domain Decomposition for Advection-Diffusion

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