H(curl^2) conforming element for Maxwell's transmission eigenvalue problem using fixed-point approach

06/08/2022

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by   Jiayu Han, et al.

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Using newly developed H(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 H(curl^2)-norm and H(curl)-semi-norm) are established.