A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains

Baoqing Liu; Qikui Du

首页> 外文期刊>Mathematical Problems in Engineering >A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains

【24h】

A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains

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。

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Based on the Kirchhoff transformation, a nonoverlapping domain decomposition method is discussed for solving exterior anisotropic quasilinear problems with elliptic artificial boundary. By the principle of the natural boundary reduction, we obtain the natural integral equation for the anisotropic quasilinear problem on elliptic artificial boundaries and construct the algorithm and analyze its convergence. Moreover, we give the existence and uniqueness result for the original problem. Finally, some numerical examples are presented to illustrate the feasibility of the method.

机译：基于基尔霍夫变换，讨论了一种非重叠域分解方法，用于求解带椭圆人工边界的外部各向异性拟线性问题。根据自然边界约简的原理，得到了椭圆人工边界上各向异性拟线性问题的自然积分方程，并构造了算法并对其收敛性进行了分析。此外，我们给出了原始问题的存在性和唯一性结果。最后，通过数值算例说明了该方法的可行性。

著录项

来源
《Mathematical Problems in Engineering》 |2013年第1期|828615.1-828615.16|共16页
作者
Baoqing Liu; Qikui Du;
展开▼
作者单位

Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, China;

Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, China;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. 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。
2. On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs [J] . Stephan Schreiber Numerical Functional Analysis and Optimization . 2010,第5期

机译：拟线性PDE的非重叠域分解方法中的传输问题等价性
3. On the equivalence of transmission problems in nonoverlapping domain decomposition methods for quasilinear PDEs [J] . Schreiber S., Hochmuth R. Numerical Functional Analysis and Optimization . 2010,第4a6期

机译：拟线性PDE的非重叠域分解方法中的传输问题等价性
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. Some variational methods for quasilinear elliptic differential equations on unbounded domains. [D] . Schindler, Ian Edmund William. 1992

机译：无界域上拟线性椭圆型微分方程的一些变分方法。
6. A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems [O] . Maksymilian Dryja, Piotr Krzyżanowski -1

机译：椭圆问题的不连续Galerkin离散的大规模并行不重叠加性Schwarz方法
7. Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems [O] . Qiya Hu, Shi Shu, Junxian Wang 2010

机译：具有简单粗糙空间的非绘制域分解方法，用于椭圆问题

A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains

摘要

著录项

相似文献

相关主题

期刊订阅