کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641887 1341323 2008 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators
چکیده انگلیسی

In this paper, we consider a discretization method proposed by Wieners and Wohlmuth [The coupling of mixed and conforming finite element discretizations, in: Domain Decomposition Methods, vol. 10, Contemporary Mathematics, vol. 218, American Mathematical Society, Providence RI, 1998, pp. 547–554] (see also [R.D. Lazarov, J. Pasciak, P.S. Vassilevski, Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems, Numer. Linear Algebra Appl. 8 (2001) 13–31]) for second order operators, which is a coupling between a mixed method in a subdomain and a standard Galerkin method in the remaining part of the domain. We perform an a posteriori error analysis of residual type of this method, by combining some arguments from a posteriori error analysis of Galerkin methods and mixed methods. The reliability and efficiency of the estimator are proved. Some numerical tests are presented and confirm the theoretical error bounds.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 213, Issue 1, 15 March 2008, Pages 35–55
نویسندگان
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