论文标题
椭圆边界价值问题不连续的盖尔金方法的超授权
Superconvergence of Discontinuous Galerkin methods for Elliptic Boundary Value Problems
论文作者
论文摘要
在本文中，我们对大型混合不连续的盖尔金方法进行了对超融合特性的统一分析。该分析适用于泊松方程和对称应力配方的线性弹性问题。基于此结果，如果使用K的多项式k的多项式进行位移，则采用了一些本地的后过程方案来提高按顺序最小的位移（k+1，2）提高位移的准确性。进行一些数值实验以验证理论结果。
In this paper, we present a unified analysis of the superconvergence property for a large class of mixed discontinuous Galerkin methods. This analysis applies to both the Poisson equation and linear elasticity problems with symmetric stress formulations. Based on this result, some locally postprocess schemes are employed to improve the accuracy of displacement by order min(k+1, 2) if polynomials of degree k are employed for displacement. Some numerical experiments are carried out to validate the theoretical results.
