کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419535 | 1339411 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach](/preview/png/6419535.png)
چکیده انگلیسی
The Proper Generalized Decomposition (PGD) is a methodology initially proposed for the solution of partial differential equations (PDE) defined in tensor product spaces. It consists in constructing a separated representation of the solution of a given PDE. In this paper we consider the mathematical analysis of this framework for a larger class of problems in an abstract setting. In particular, we introduce a generalization of Eckart and Young theorem which allows to prove the convergence of the so-called progressive PGD for a large class of linear problems defined in tensor product Hilbert spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 376, Issue 2, 15 April 2011, Pages 469-480
Journal: Journal of Mathematical Analysis and Applications - Volume 376, Issue 2, 15 April 2011, Pages 469-480
نویسندگان
A. Falcó, A. Nouy,