主 题: Flux recovery and a posteriori error estimate of finite volume methods
报告人: Long Chen (Department of Mathematics,university of california Irvine)
时 间: 2011-08-20 10:00-12:00
地 点: 理科一号楼1418
Abstract: A cell conservative flux recovery technique is developed for vertex-centered
finite volume methods approximation for the second order elliptic equation.
It is based on solving a local problem on each control volume with mixed finite element methods.
The recovered flux is used to construct a constant free a posteriori error estimator.
The upper bound for the error estimator is obtained by the hypercircle method
developed by Prager and Synge. The local lower bound of the error estimator can be established by
showing the equivalence between the recovery error estimator and the well-known residual-based error
estimator. Some numerical tests are presented and confirm the theoretical error bounds.