An hp-version error analysis of the discontinuous Galerkin method for linear elasticity

2016/08/14 by Jianguo Huang, Xuehai Huang, Huang, Jianguo +1
Engineering · Mathematics · #65N15 #65N30 #74B05 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1608.04060

openalex publication_date 2016/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An hp-version error analysis is developed for the general DG method in mixed formulation for solving the linear elastic problem. First of all, we give the hp-version error estimates of two L² projection operators. Then incorporated with the techniques in [11], we obtain the hp-version error estimates in energy norm and L² norm. Some numerical experiments are provided for demonstrating the theoretical results.

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