Laplace特征值的非协调元对称展开和外推

Asymptotic Expansion and Extrapolation for the Eigenvalue Approximation of Laplace Eienvalue Problem by Nonconforming Element

利用Bramble Hilbert Xu引理对Laplace特征值用一个非协调元作对称展开,给出该单元在研究Laplace特征值问题时的误差主项,并进一步给出外推结果,最后给出数值验证。

By using nonconforming element and Bramble-Hilbert-Xu Lemma, Laplace approximating eigenvalue is given by the means of asymptotic expansion and the main error terms are presented ,too. The extrapolation results are existed, then these numerical results are tested with uniform meshes and anisotropic meshes.