کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471245 | 698610 | 2014 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
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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: Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients](/preview/png/471245.png)
چکیده انگلیسی
In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number NN of random inputs and an analytic dependence of the solution of the PDE with respect to the parameters in a polydisc of the complex plane CNCN. We show that a quasi-optimal approximation is given by a Galerkin projection on a weighted (anisotropic) total degree space and prove a (sub)exponential convergence rate. As a specific application we consider a thermal conduction problem with non-overlapping inclusions of random conductivity. Numerical results show the sharpness of our estimates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 67, Issue 4, March 2014, Pages 732–751
Journal: Computers & Mathematics with Applications - Volume 67, Issue 4, March 2014, Pages 732–751
نویسندگان
Joakim Beck, Fabio Nobile, Lorenzo Tamellini, Raúl Tempone,