<i>A priori</i> and <i>a posteriori</i> error estimates for the quad-curl eigenvalue problem

In this paper, we consider a priori and posteriori error estimates of the H (curl 2 )-conforming finite element when solving quad-curl eigenvalue problem. An estimate eigenvalues with convergence order 2( s − 1) is obtained if corresponding eigenvector u ∈ 1 (Ω) ∇ × (Ω). For estimate, by analyzing associated source problem, obtain lower upper bounds for errors eigenvectors in energy norm eigenvalues. Numerical examples are presented validation.