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
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients
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(H∕h))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(H∕h))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(H∕h))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
نویسندگان
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