کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6892459 | 1445357 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High accuracy analysis of an H1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, an H1-Galerkin mixed finite element approximate scheme is established for a class of two-dimensional time fractional diffusion equations by using the bilinear element, Raviart-Thomas element and L1 time stepping method, which is unconditionally stable and free of LBB condition. And then, without the classical Ritz projection, superclose results for the original variable u in H1-norm and the flux pâ=âu in H(div,Ω)-norm are derived by means of properties of the elements and L1 approximation. Furthermore, with the help of the interpolation postprocessing operator, the global superconvergence results for the original variable u in H1-norm are obtained. Finally, numerical simulations verify that the theoretical results are true on both regular meshes and anisotropic meshes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 8, 15 October 2017, Pages 1903-1914
Journal: Computers & Mathematics with Applications - Volume 74, Issue 8, 15 October 2017, Pages 1903-1914
نویسندگان
Z.G. Shi, Y.M. Zhao, F. Liu, Y.F. Tang, F.L. Wang, Y.H. Shi,