A recovery-based error estimate for nonconforming finite volume methods of interface problems

作者：Mu Lin^*; Jari Rabeea

来源：Applied Mathematics and Computation, 2013, 220: 63-74.

DOI：10.1016/j.amc.2013.05.034

• Recovery-based
• A posteriori error estimator
• Nonconforming finite volume method
• Interface problems

In Cai and Zhang (2009, 2010) [12,13], they introduced the recovery-based a posteriori error estimator for conforming, mixed, and nonconforming finite element methods of interface problems. In this paper, we extend the idea to present a recovery-based a posterior error estimator for finite volume methods which employ the nonconforming linear trial functions to approximate elliptic interface problems. The method recovers the flux and gradient in H(div) and H(curl) conforming finite element spaces with a weighted L-2 projection, respectively. The reliability and efficiency bounds are established. Numerical experiments are given to support the conclusions.

• 出版日期2013-9-1