论文标题
后验分析,用于对线性弹性频谱问题混合的FEM离散化
A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem
论文作者
论文摘要
在本文中,我们分析了线性弹性特征值问题混合配方的后验错误估计。提出了几乎可压缩的弹性光谱问题的后验估计器。通过后处理的论点,我们能够证明所提出的估计器的可靠性和效率。该数值方法基于raviart-thomas元素,以近似位移的伪色和分段多项式。我们通过数值测试来说明我们的结果。
In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly compressible elasticity spectral problems are proposed. With a post-process argument, we are able to prove reliability and efficiency for the proposed estimators. The numerical method is based in Raviart-Thomas elements to approximate the pseudostress and piecewise polynomials for the displacement. We illustrate our results with numerical tests.