Solving stochastic partial differential equations based on the experimental data

Ivo Babuška, Kang Man Liu, Raúl Tempone

研究成果: Article同行評審

41 引文 斯高帕斯(Scopus)

摘要

We consider a stochastic linear elliptic boundary value problem whose stochastic coefficient a(x, w) is expressed by a finite number NKL of mutually independent random variables, and transform this problem into a deterministic one. We show how to choose a suitable NKL which should be as low as possible for practical reasons, and we give the a priori estimates for modeling error when a(x, w) is completely known. When a random function a(x, w) is selected to fit the experimental data, we address the estimation of the error in this selection due to insufficient experimental data. We present a simple model problem, simulate the experiments, and give the numerical results and error estimates.

原文English
頁(從 - 到)415-444
頁數30
期刊Mathematical Models and Methods in Applied Sciences
13
發行號3
DOIs
出版狀態Published - 2003 三月 1

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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