A second-order continuity domain decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems

N. Mai-Duy; T. Tran-Cong

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A second-order continuity domain decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems

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摘要

This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space. The proposed DD technique uses integrated Chebyshev polynomials to represent the solution in subdomains. The constants of integration are utilized to impose continuity of the second-order normal derivative of the solution at the interior points of subdomain interfaces. To also achieve a C2 function at the intersection of interfaces, two additional unknowns are introduced at each intersection point. Numerical results show that the present DD method yields a higher level of accuracy than conventional DD techniques based on differentiated Chebyshev polynomials.

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来源
《Applied mathematical modelling》 |2008年第12期|2851-2862|共12页
作者
N. Mai-Duy; T. Tran-Cong;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Non-overlapping domain decomposition; Second-order continuity; Collocation point; Integrated Chebyshev polynomials; Second-order elliptic problems;

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A second-order continuity domain decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems

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