کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6891693 | 1445337 | 2018 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We analyze two BPS preconditioners for a weak Galerkin (WG) finite element method for 2D diffusion equations with strongly discontinuous coefficients. The first preconditioner uses nonconforming linear elements on the coarse mesh, and the corresponding condition number is bounded from above by C(1+ln(Hâh))3 with C independent of the coefficients; the second one uses H1-conforming linear elements on the coarse mesh, and the corresponding condition number is bounded from above by C(1+ln(Hâh))2 with C depending on the coefficients. In addition, we construct and analyze a preconditioner for the sub-problems encountered in the procedure of applying the two preconditioners. The condition number of the preconditioned system is bounded from above by C(1+ln(Hâh))2 with C independent of the coefficients. Finally we carry out some numerical experiments to verify our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 76, Issue 4, 15 August 2018, Pages 701-724
Journal: Computers & Mathematics with Applications - Volume 76, Issue 4, 15 August 2018, Pages 701-724
نویسندگان
Binjie Li, Xiaoping Xie, Shiquan Zhang,