This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

Moiré lattices are aperiodic systems formed by a superposition of two periodic lattices with a
relative rotational angle. In optics, the photonic moiré lattice has many appealing properties …

This paper is concerned with the intrinsic geometric structure of interior transmission
eigenfunctions arising in wave scattering theory. We numerically show that the …

We propose an efficient numerical method for a non-selfadjoint Steklov eigenvalue problem.
The Lagrange finite element is used for discretization and the convergence is proved using …

The transmission eigenvalue problem arises from the inverse scattering theory for
inhomogeneous media. It plays a key role in the unique determination of inhomogeneous …

We consider a non-selfadjoint fourth order eigenvalue problem using a discontinuous
Galerkin (DG) method. For high order problems, DG methods are competitive since they use …

The recently developed RIM (recursive integral method) finds eigenvalues in a region of the
complex plane. It computes an indicator to test if the region contains eigenvalues using an …

This paper studies the reconstruction of Stekloff eigenvalues and the index of refraction of an
inhomogeneous medium from Cauchy data. The inverse spectrum problem of Stekloff …

In this paper, we apply discontinuous Galerkin methods to the non-selfadjoint Steklov
eigenvalue problem arising in inverse scattering. The variational formulation of the problem …

The elastic transmission eigenvalue problem, arising from the inverse scattering theory,
plays a critical role in the qualitative reconstruction methods for elastic media. In this paper …