کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640488 1341276 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Contractivity of domain decomposition splitting methods for nonlinear parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Contractivity of domain decomposition splitting methods for nonlinear parabolic problems
چکیده انگلیسی
This work deals with the efficient numerical solution of nonlinear parabolic problems posed on a two-dimensional domain Ω. We consider a suitable decomposition of domain Ω and we construct a subordinate smooth partition of unity that we use to rewrite the original equation. Then, the combination of standard spatial discretizations with certain splitting time integrators gives rise to unconditionally contractive schemes. The efficiency of the resulting algorithms stems from the fact that the calculations required at each internal stage can be performed in parallel.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 4, 15 June 2010, Pages 1078-1087
نویسندگان
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