کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9511194 | 1701082 | 2019 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regula falsi based automatic regularization method for PDE constrained optimization
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Regula falsi based automatic regularization method for PDE constrained optimization Regula falsi based automatic regularization method for PDE constrained optimization](/preview/png/9511194.png)
چکیده انگلیسی
Many inverse problems can be described by a PDE model with unknown parameters that need to be calibrated based on measurements related to its solution. This can be seen as a constrained minimization problem where one wishes to minimize the mismatch between the observed data and the model predictions, including an extra regularization term, and use the PDE as a constraint. Often, a suitable regularization parameter is determined by solving the problem for a whole range of parameters -e.g. using the L-curve -which is computationally very expensive. In this paper we derive two methods that simultaneously solve the inverse problem and determine a suitable value for the regularization parameter. The first one is a direct generalization of the Generalized Arnoldi Tikhonov method for linear inverse problems. The second method is a novel method based on similar ideas, but with a number of advantages for nonlinear problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 348, 1 March 2019, Pages 14-25
Journal: Journal of Computational and Applied Mathematics - Volume 348, 1 March 2019, Pages 14-25
نویسندگان
Nick Schenkels, Wim Vanroose,