کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902563 1632141 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations
چکیده انگلیسی
In this paper, we investigate a two grid discretization scheme for semilinear parabolic integro-differential equations by expanded mixed finite element methods. The lowest order Raviart-Thomas mixed finite element method and backward Euler method are used for spatial and temporal discretization respectively. Firstly, expanded mixed Ritz-Volterra projection is defined and the related a priori error estimates are proved. Secondly, a superconvergence property of the pressure variable for the fully discretized scheme is obtained. Thirdly, a two-grid scheme is presented to deal with the nonlinear part of the equation and a rigorous convergence analysis is given. It is shown that when the two mesh sizes satisfy h=H2, the two grid method achieves the same convergence property as the expanded mixed finite element method. Finally, a numerical experiment is implemented to verify theoretical results of the two grid method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 132, October 2018, Pages 163-181
نویسندگان
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