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 …

In this paper, we analyze the convergence of a finite element method for the computation of
transmission eigenvalues and corresponding eigenfunctions. Based on the obtained error …

Transmission eigenvalue problem has important applications in inverse scattering. Since the
problem is non-self-adjoint, the computation of transmission eigenvalues needs special …

Transmission eigenvalue problems arise from inverse scattering theory for inhomogeneous
media. These non-selfadjoint problems are numerically challenging because of a …

We present an iterative method to compute the Maxwell's transmission eigenvalue problem
which has importance in non-destructive testing of anisotropic materials. The transmission …

The method of fundamental solutions is investigated in a stabilized version for the
computation of interior transmission eigenvalues in two dimensions for homogeneous and …

Dirichlet and transmission eigenvalues have important applications in qualitative methods in
inverse scattering. Motivated by the fact that these eigenvalues can be obtained from …

In this paper, we give a numerical analysis for the transmission eigenvalue problem by the
finite element method. A type of multilevel correction method is proposed to solve the …

This paper is concerned with a variational approach solving the two-dimensional acoustic
transmission problems. The original problem is reduced to an equivalent nonlocal boundary …

In practical vibro-acoustic problems, external excitation normally contains a certain
frequency band structure, and system optimization needs to be performed through frequency …