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A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-14
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Baoqing& Du, Qikui. 2013. A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-1010880
Modern Language Association (MLA)
Liu, Baoqing& Du, Qikui. A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains. Mathematical Problems in Engineering No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-1010880
American Medical Association (AMA)
Liu, Baoqing& Du, Qikui. A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-1010880
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010880