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math.NA2023
Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes
Kaibo Hu, Jiguang Sun, Qian Zhang
In [6], it was shown that the linear Lagrange element space on criss-cross meshes and its divergence exhibit spurious eigenvalues when applied in the mixed formulation of the Lapla…
math.AP2023
The anisotropic interior transmission eigenvalue problem with a conductive boundary
Victor Hughes, Isaac Harris, Jiguang Sun
In this paper, we study the transmission eigenvalue problem for an anisotropic material with a conductive boundary. We prove that the transmission eigenvalues for this problem exis…