Journal of Shanghai Jiaotong University ›› 2016, Vol. 50 ›› Issue (04): 625-630.

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Mixed Finite Element Methods for Elliptic Partial Differential Equations with Random Data

GAO Leia,XIE Fujib   

  1. (a. School of Mathematical Sciences, Shanghai 200240; b. Anti College of Economics and Mangagement, Shanghai Jiaotong University, Shanghai 200030, China)
  • Received:2015-04-11 Online:2016-04-28 Published:2016-04-28

Abstract: Abstract: A class of mixed finite element methods for a linear elliptic problem with stochastic input data and homogeneous Dirichlet boundary conditions were considered to approximate statistical moments of the scalar function and its flux. Theoretical analysis shows that these methods have the first order optimal error estimates for the mean values of the stochastic solutions. Numerical experiments were developed to support the theoretical findings.

Key words: Key words: stochastic elliptic partial differential equations, mixed finite element methods, optimal order error estimates, numerical experients

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