کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422413 1632002 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational time discretization for mixed finite element approximations of nonstationary diffusion problems
ترجمه فارسی عنوان
اختلاط زمان اختیاری برای تقریب عناصر محدود عنصر از مشکلات ناپایداری انتشار
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We develop and study numerically two families of variational time discretization schemes for mixed finite element approximations applied to nonstationary diffusion problems. Continuous and discontinuous approximations of the time variable are encountered. The solution of the arising algebraic block system of equations by a Schur complement technique is described and an efficient preconditioner for the iterative solution process is constructed. The expected higher order rates of convergence are demonstrated in numerical experiments. Moreover, superconvergence properties are verified. Further, the efficiency and stability of the approaches are illustrated for a more sophisticated three-dimensional application of practical interest with discontinuous and anisotropic material properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 289, 1 December 2015, Pages 208-224
نویسندگان
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