@Article{CMR-36-2,
author = {Liang, Ge and Wanfang, Shen and Wenbin, Liu},
title = {Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {2},
pages = {229--246},
abstract = {<p style="text-align: justify;">In this paper, we investigate a stochastic meshfree finite volume element method for an optimal control problem governed by the convection diffusion equations with random coefficients. There are two contributions of this
paper. Firstly, we establish a scheme to approximate the optimality system by
using the finite volume element method in the physical space and the meshfree
method in the probability space, which is competitive for high-dimensional
random inputs. Secondly, the a priori error estimates are derived for the state,
the co-state and the control variables. Some numerical tests are carried out to
confirm the theoretical results and demonstrate the efficiency of the proposed
method.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0008},
url = {https://global-sci.com/article/81531/meshfree-finite-volume-element-method-for-constrained-optimal-control-problem-governed-by-random-convection-diffusion-equations}
}