A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR EXTERIOR 3-D PROBLEM

De-hao Yu

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A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR EXTERIOR 3-D PROBLEM

机译：外部3-D问题的非重叠域分解方法

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摘要

In this paper, a nonoverlapping domain decomposition method, which is based on the natural boundary reduction(cf. [4, 13, 15]), is developed to solve the boundary value problem in exterior three-dimensional domain of general shape. Convergence analyses both for the exterior spherical domain and the general exterior domain are made. Some numerical examples are also provided to illustrate the method.

机译：本文提出了一种基于自然边界约简的非重叠域分解方法（参见[4，13，15]），以解决一般形状的外部三维域中的边值问题。对外部球形区域和一般外部区域都进行了收敛性分析。还提供了一些数值示例来说明该方法。

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来源
《Journal of Computational Mathematics》 |2001年第1期|p.77-86|共10页
作者
De-hao Yu;
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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
Domain decomposition; D-N Algorithm; Exterior 3-D problem.;

机译：域分解;D-N算法;外部3-D问题。;

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专利

1. A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR EXTERIOR 3-D PROBLEM [J] . De-hao Yu, Ji-ming Wu 20f Journal of Computational Mathematics . 2001,第1期

机译：外部3-D问题的非重叠域分解方法
2. A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains [J] . Baoqing Liu, Qikui Du Mathematical Problems in Engineering . 2013,第pta1期

机译：扩展域上各向异性拟线性椭圆问题的非重叠域分解法。
3. A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains [J] . BaoqingLiu, QikuiDu Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第5期

机译：扩展域上各向异性拟线性椭圆问题的非重叠域分解法。
4. A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study [C] . Susanne C. Brenner, Duk-Soon Oh International conference on domain decomposition methods . 2018

机译：基于H（div）问题的非对域分解方法的更畅通：数值研究
5. Adaptive finite element methods for the Helmholtz equation in exterior domains. [D] . Stewart, James R. 1995

机译：外域Helmholtz方程的自适应有限元方法。
6. The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems [O] . M. Cafiero, O. Lloberas-Valls, J. Cante, -1

机译：域接口方法：用于解决不合格域分解问题的通用非侵入性技术
7. A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods [O] . Antonietti Paola F., Houston Paul, Smears Iain 2016

机译：有关hp版本不连续Galerkin方法的非重叠域分解预处理器的最佳光谱范围的说明

A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR EXTERIOR 3-D PROBLEM

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