弹性问题的一种间断Galerkin有限元法分析

本文就弹性问题对应力---位移格式给出了一种间断Galerkin有限元方法，理论分析该方法能避免locking现象，具有一致稳定性及最优 误差估计。此外，利用方法的特殊结构，由位移的离散解可后期导出一个新的位移近似解(post-processed displacement)，并证明了此解属于H(div,\Omega)空间，在保持 同样精度的同时，还具有守恒性质。

Analysis Of A Discontinuous Galerkin Method For Elasticity Problems

In this paper,we introduce and analyze a discontinuous Galerkin method for linear elasticity only based on the displacement-stress formulation. It's locking-free, uniformly stable and possesses optimal error estimate. A simple post-processing is introduced which takes advantage of the special structure of the method. It allows us to construct an post-processed displacement from the discrete one. The new approximation to the displacement is H(div)-conforming and keeps the same accuracy. In particular, it ensures the conservation laws element-by-element.