A recovery-based error estimator for finite volume methods of interface problems: Conforming linear elements

作者：Mu Lin^*; Jari Rabeea; Conner Loralyn

来源：Numerical Methods for Partial Differential Equations, 2013, 29(1): 131-143.

DOI：10.1002/num.21702

• a posteriori error estimator
• finite volume method
• interface problems
• recovery-based

In this article, we present a recovery-based a posteriori error estimator for finite volume methods which use the conforming linear trial functions to approximate elliptic interface problems. The reliability and efficiency bounds for the error estimator are established by recovering the flux from a weighted L2 projection to H(div) conforming finite element spaces. Numerical experiments are given to support the conclusions.

• 出版日期2013-1