2016/08/05 by Pengtao Sun, Xuehai Huang, Sun, Pengtao +1
Engineering · Physics and Astronomy · #41A25 #65N15 #65N30 #65N50 #65Y20 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1608.01741
openalex publication_date 2016/08/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/01
In this paper, we present an adaptive hybridizable C0 discontinuous Galerkin (HCDG) method for Kirchhoff plates. A reliable and efficient a posteriori error estimator is produced for this HCDG method. Quasi-orthogonality and discrete reliability are established with the help of a postprocessed bending moment and the discrete Helmholtz decomposition. Based on these, the contraction property between two consecutive loops and complexity of the adaptive HCDG method are studied thoroughly. The key points in our analysis are a postprocessed normal-normal continuous bending moment from the HCDG method solution and a lifting of jump residuals from inter-element boundaries to element interiors.