A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients

作者：Nicaise Serge^*; Venel Juliette

来源：Journal of Computational and Applied Mathematics, 2011, 235(14): 4272-4282.

DOI：10.1016/j.cam.2011.03.028

• A posteriori estimator
• Non-positive definite diffusion problems

We perform the a posteriori error analysis of residual type of transmission problem with sign changing coefficients. According to Bonnet-BenDhia et al. (2010) [9], if the contrast is large enough, the continuous problem can be transformed into a coercive one. We further show that a similar property holds for the discrete problem for any regular meshes, extending the framework from Bonnet-BenDhia et al. [9]. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.

• 出版日期2011-5-15