传输特征值混合元法（英文）

A mixed method for transmission eigenvalue problem

给出了Helmholtz传输特征值的一个混合元计算方法。该方法将Ciarlet-Raviart混合法与Cakoni等人研究的变分公式结合起来,形成新的可用来计算特征值的混合变分公式。并做了理论上的误差估计和特征值分析,从而证明了此方法的可行性和高效性。

We give a mixed variational form and use mixed finite element method to solve the transmission eigenvalue problem. This method is a combination of the Ciarlet - Raviart mixed method and the variational formulation proposed by Cakoni et al. We are concerned with the error estimates of the discrete eigenvalues and the corresponding eigenfunctions. The analysis of error proves that our method is Correct and feasible.