کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
470285 | 698431 | 2016 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations](/preview/png/470285.png)
چکیده انگلیسی
In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by NN random variables. The elliptic problem is remapped onto a corresponding PDE with a fixed deterministic domain. We show that the solution can be analytically extended to a well defined region in CNCN with respect to the random variables. A sparse grid stochastic collocation method is then used to compute the mean and variance of the QoI. Finally, convergence rates for the mean and variance of the QoI are derived and compared to those obtained in numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 6, March 2016, Pages 1173–1197
Journal: Computers & Mathematics with Applications - Volume 71, Issue 6, March 2016, Pages 1173–1197
نویسندگان
Julio E. Castrillón-Candás, Fabio Nobile, Raúl F. Tempone,