Thursday, Aug 31, 2017 - 3:30pm - Allen 14
Robust a posterior error estimations for nonconforming finite element methods on interface problems
Dr. Cuiyu He, Mathematics, Purdue University
Title: Robust a posterior error estimations for nonconforming finite element methods on interface problems
Abstract: Robust a posteriori error estimation for problems with discontinuous parameters has been extensively studied in the last two decades. Robustness here means that both the global reliability and the local efficiency constants are independent of the jump of the parameters. In this talk, I will introduce both the residual-based and equilibrated-type a posteriori error estimations for the nonconforming finite element method applied to interface problems with diffusion coefficients that might undergo large jumps across interfaces. Theoretically, we are able to prove both the robust global reliability and local efficiency regardless of the distribution of the coefficient.