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https://hdl.handle.net/10316/44819
Title: | Explicit group USSOR method for solving elliptic partial differential equations | Authors: | Yousif, Wadalla S. Santos, J.L. Martins, M.M. |
Keywords: | USSOR method, Elliptic partial differential equation, Group iterative methods, Five-point approximation scheme, Laplace’s equation | Issue Date: | 2013 | Publisher: | Dynamic Publisher, Inc | Serial title, monograph or event: | Neural, Parallel and Scientific Computations | Volume: | 2 | Issue: | 21 | Abstract: | This paper presents a new 4-points Explicit Group Unsymmetric Successive Overrelaxation (USSOR) iterative method to approximate the solution of the linear systems derived from the discretisation of self-adjoint elliptic partial equations. Several studies have been carried out by many researchers on the USSOR iterative method, for example, the analysis of its convergence [1], an upper bound for its error [2] and recently a special case of the USSOR, namely the SSOR method has been used to approximate the solution of augmented systems [4] and [8]. The computational behaviour of this new method and a comparison with its point version is presented. | URI: | https://hdl.handle.net/10316/44819 | ISSN: | 1061-5369 | Rights: | closedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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ExpGrpUSSOR_revisao.pdf | 207.55 kB | Adobe PDF | Request a copy |
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