کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629626 1340583 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
چکیده انگلیسی

An operator-splitting finite element method for solving high-dimensional parabolic equations is presented. The stability and the error estimates are derived for the proposed numerical scheme. Furthermore, two variants of fully-practical operator-splitting finite element algorithms based on the quadrature points and the nodal points, respectively, are presented. Both the quadrature and the nodal point based operator-splitting algorithms are validated using a three-dimensional (3D) test problem. The numerical results obtained with the full 3D computations and the operator-split 2D + 1D computations are found to be in a good agreement with the analytical solution. Further, the optimal order of convergence is obtained in both variants of the operator-splitting algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 11, 1 February 2013, Pages 6182–6196
نویسندگان
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