کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642764 1632056 2007 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses
چکیده انگلیسی

In this paper, we provide a priori and a posteriori error analyses of an augmented mixed finite element method with Lagrange multipliers applied to elliptic equations in divergence form with mixed boundary conditions. The augmented scheme is obtained by including the Galerkin least-squares terms arising from the constitutive and equilibrium equations. We use the classical Babuška–Brezzi theory to show that the resulting dual-mixed variational formulation and its Galerkin scheme defined with Raviart–Thomas spaces are well posed, and also to derive the corresponding a priori error estimates and rates of convergence. Then, we develop a reliable and efficient residual-based a posteriori error estimate and a reliable and quasi-efficient Ritz projection-based one, as well. Finally, several numerical results illustrating the performance of the augmented scheme and the associated adaptive algorithms are reported.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 200, Issue 2, 15 March 2007, Pages 653–676
نویسندگان
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