Special Session 151: Encounter and Merging of Mesh-based Methods and Meshless Methods in the Era of Machine Learning
On the interplay between iterative methods and error estimators
Yuwen Li
Zhejiang University
Peoples Rep of China
Co-Author(s):    Han Shui
Abstract:
This talk presents a family of a posteriori error estimates motivated by iterative solvers. We use simple smoothers (one step of Jacobi/Gauss-Seidel iteration), on an auxiliary finer mesh to process the finite element residual for a posteriori error control. The proposed error estimators are user-friendly and robust with respect to polynomial degrees and physical parameters. Numerical experiments include Biot, convection-diffusion, Helmholtz, and Maxwell equations. The material is based on joint works with Ludmil Zikatanov and Han Shui.
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