کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776570 | 1632151 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A block-diagonal preconditioner for a four-field mixed finite element method for Biot's equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A block-diagonal preconditioner for a four-field mixed finite element method for Biot's equations A block-diagonal preconditioner for a four-field mixed finite element method for Biot's equations](/preview/png/5776570.png)
چکیده انگلیسی
In this paper, we explore an efficient preconditioning method for the saddle point system resulting from a four-field mixed finite element method applied to Biot's consolidation model. The proposed preconditioner is a block diagonal preconditioner based on the Schur complement. We obtain bounds on the eigenvalues of the preconditioned matrix that are clustered away from 0. To reduce the computational expense, this preconditioner is inverted approximately. Some numerical results are provided to show the efficiency of our preconditioning strategy when applied to a poroelasticity problem in a layered medium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 122, December 2017, Pages 1-13
Journal: Applied Numerical Mathematics - Volume 122, December 2017, Pages 1-13
نویسندگان
Maranda Bean, Konstantin Lipnikov, Son-Young Yi,