کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138138 | 1489135 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Low-rank update of preconditioners for the nonlinear Richards equation
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Low-rank update of preconditioners for the nonlinear Richards equation Low-rank update of preconditioners for the nonlinear Richards equation](/preview/png/1138138.png)
چکیده انگلیسی
Preconditioners for the Conjugate Gradient method are studied to solve the Newton system with symmetric positive definite (SPD) Jacobian. Following the theoretical work in Bergamaschi et al. (2011) [4] we start from a given approximation of the inverse of the initial Jacobian, and we construct a sequence of preconditioners by means of a low rank update, for the linearized systems arising in the Picard–Newton solution of the nonlinear discretized Richards equation. Numerical results onto a very large and realistic test case show that the proposed approach is more efficient, in terms of iteration number and CPU time, as compared to computing the preconditioner of choice at every nonlinear iteration.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 57, Issues 7–8, April 2013, Pages 1933–1941
Journal: Mathematical and Computer Modelling - Volume 57, Issues 7–8, April 2013, Pages 1933–1941
نویسندگان
L. Bergamaschi, R. Bru, A. Martínez, J. Mas, M. Putti,