کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1707421 | 1519452 | 2016 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this note, the block-diagonal preconditioner proposed and the block triangular proposed in Krendl et al. (2013) and Pearson and Wathen (2012), respectively, are further studied and optimized. Two improved preconditioners are proposed for solving a class of complex linear systems arising from optimal control with time-periodic parabolic equation. Theoretical analyses show that the eigenvalues of the improved block-diagonal and block triangular preconditioned matrices are located in [−1,−2/2)∪(2/2,1] and (1/2,1](1/2,1], respectively. Numerical experiments illustrate the feasibility and effectiveness of these preconditioners for Krylov subspace methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 61, November 2016, Pages 114–121
Journal: Applied Mathematics Letters - Volume 61, November 2016, Pages 114–121
نویسندگان
Zhong Zheng, Guo-Feng Zhang, Mu-Zheng Zhu,