论文标题
$ \ bf h(\ mathrm {curl}^2)$符合Maxwell的传输特征元素的元素使用定点方法
$\bf H(\mathrm{curl}^2)$ conforming element for Maxwell's transmission eigenvalue problem using fixed-point approach
论文作者
论文摘要
使用新开发的$ {\ bf h}(\ mathrm {curl}^2)$符合元素,我们解决了麦克斯韦的传输特征问题。考虑了真实和复杂的特征值。基于具有合理假设的固定点弱公式,对数值特征值和特征功能的最佳误差估计(在$ {\ bf h}中(\ Mathrm {curl}^2)$ - norm-norm和$ {\ bf h}(\ bf h}(\ bf h}(\ mathrm {curl})
Using newly developed ${\bf H}(\mathrm{curl}^2)$ conforming elements, we solve the Maxwell's transmission eigenvalue problem. Both real and complex eigenvalues are considered. Based on the fixed-point weak formulation with reasonable assumptions, the optimal error estimates for numerical eigenvalues and eigenfunctions (in the ${\bf H}(\mathrm{curl}^2)$-norm and ${\bf H}(\mathrm{curl})$-semi-norm) are established.