کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775956 1631754 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New local generalized shift-splitting preconditioners for saddle point problems
ترجمه فارسی عنوان
جدیدی از پیش سازهای شبیهسازی تغییر مکان عمومی جدید برای مشکلات نقطه ی زاویه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Based on a local generalized shift-splitting of the saddle point matrix with symmetric positive definite (1, 1)-block and symmetric positive semidefinite (2, 2)-block, a new local generalized shift-splitting preconditioner with two shift parameters for solving saddle point problems is proposed. The preconditioner is extracted from a new local generalized shift-splitting iteration and can lead to the unconditional convergence of the iteration. In addition, we consider solving the saddle point systems by preconditioned Krylov subspace methods and discuss some properties of the preconditioned saddle point matrix with a deteriorated preconditioner, such as eigenvalues, eigenvectors, and degree of the minimal polynomial. Numerical experiments arising from a finite element discretization model of the Stokes problem are given to validate the effectiveness of the proposed preconditioner.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 302, 1 June 2017, Pages 58-67
نویسندگان
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