کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775519 1631739 2018 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multigrid method based on a space-time approach with standard coarsening for parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Multigrid method based on a space-time approach with standard coarsening for parabolic problems
چکیده انگلیسی
In this work, a space-time multigrid method which uses standard coarsening in both temporal and spatial domains and combines the use of different smoothers is proposed for the solution of the heat equation in one and two space dimensions. In particular, an adaptive smoothing strategy, based on the degree of anisotropy of the discrete operator on each grid-level, is the basis of the proposed multigrid algorithm. Local Fourier analysis is used for the selection of the crucial parameter defining such an adaptive smoothing approach. Central differences are used to discretize the spatial derivatives and both implicit Euler and Crank-Nicolson schemes are considered for approximating the time derivative. For the solution of the second-order scheme, we apply a double discretization approach within the space-time multigrid method. The good performance of the method is illustrated through several numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 317, 15 January 2018, Pages 25-34
نویسندگان
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