A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem
arXiv:2101.10783
Abstract
The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials and obtains optimal convergence rate. Compared with other low-degree and nonconforming finite element schemes, the scheme inherits the continuous bilinear form which does not need extra stabilizations and is thus simple to implement.
arXiv comment10 figures. arXiv admin note: text overlap with arXiv:1910.00898