A Posteriori Error Analysis of Nonconforming Finite Volume Elements for General Second-Order Elliptic PDEs

作者：Yang, Min^*

来源：Numerical Methods for Partial Differential Equations, 2011, 27(2): 277-291.

DOI：10.1002/num.20520

• a posteriori error estimates
• Crouzeix-Raviart element
• elliptic problems
• finite volume method

In this article, we study the a posteriori H(1) and L(2) error estimates for Crouzeix-Raviart nonconforming finite volume element discretization of general second-order elliptic problems in R(2). The error estimators yield global upper and local lower bounds. Finally, numerical experiments are performed to illustrate the theoretical findings.

• 出版日期2011-3
• 单位烟台大学