论文标题
线性弹性特征值问题最小二乘
Least-squares for linear elasticity eigenvalue problem
论文作者
论文摘要
我们研究了线性弹性产生的最小二乘算子的光谱的近似值。我们考虑一个两场（应力/位移）和三场（应力/位移/涡度）配方；其他配方可以通过类似的技术进行分析。我们证明了先验估计值，并通过简单的二维数值实验确认了理论结果。
We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. We prove a priori estimates and we confirm the theoretical results with simple two-dimensional numerical experiments.
