کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630523 | 1340602 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations](/preview/png/4630523.png)
چکیده انگلیسی
Model generalized eigenproblems associated with self-adjoint differential operators in nonstandard homogeneous or heterogeneous domains are considered. Their numerical approximation is based on Gauss-Lobatto-Legendre conforming spectral elements defined by Gordon-Hall transfinite mappings. The resulting discrete eigenproblems are solved iteratively with a Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method, accelerated by an overlapping Schwarz preconditioner. Several numerical tests show the good convergence properties of the proposed preconditioned eigensolver, such as its scalability and quasi-optimality in the discretization parameters, which are analogous to those obtained for overlapping Schwarz preconditioners for linear systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 15, 1 April 2012, Pages 7700-7710
Journal: Applied Mathematics and Computation - Volume 218, Issue 15, 1 April 2012, Pages 7700-7710
نویسندگان
L. Ghezzi, L.F. Pavarino, E. Zampieri,