کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8902629 | 1632145 | 2018 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A relaxed weak Galerkin method for elliptic interface problems with low regularity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A new relaxed weak Galerkin (WG) stabilizer has been introduced for second order elliptic interface problems with low regularity solutions. The stabilizer is generalized from the weak Galerkin method of Wang and Ye by using a new relaxation index to mesh size and the index β can be tuned according to the regularity of solution. The relaxed stabilization gives rise to a considerable flexibility in treating weak continuity along interior element edges and interface edges. For solutions in Sobolev space Wl+1,p, with lâ¥0 and pâ(1,2] rather than the usual case p=2, we derive convergence orders of the new WG method in the energy and Lp norms under some regularity assumptions of the solution and an optimal selection of β=1+4pâp can be given in the energy norm. It is recovered for p=2 that with the choice of β=1, error estimates in the energy and L2 norms are optimal for the source term in the sobolev space L2. The stabilized WG method can be easily implemented without requiring any sufficiently large penalty factor. In addition, numerical results demonstrate the effectiveness and optimal convergence of the proposed WG method with an over-relaxed factor β.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 128, June 2018, Pages 65-80
Journal: Applied Numerical Mathematics - Volume 128, June 2018, Pages 65-80
نویسندگان
Lunji Song, Shan Zhao, Kaifang Liu,