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 …

Numerical methods for the transmission eigenvalue problems are hot topics in recent years.
Based on the work of Lin and Xie (2015), we build a multigrid method to solve the problems …

In this paper we propose and analyze a mixed virtual element method for the Helmholtz
transmission eigenvalue problem, which is a fourth order, nonlinear and non-self-adjoint …

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 …

Helmholtz equations with variable coefficients are known to be hard to solve both
analytically and numerically. In this paper, we introduce a numerical multigrid solver for one …

Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The
new methods are based on the two-grid methodology recently proposed by Xu and Zhou …

In comparison with low‐order finite element methods (FEMs), the use of oscillatory basis
functions has been shown to reduce the computational complexity associated with the …

The Ciarlet--Raviart mixed finite element method is popular for the biharmonic equations. In
this paper, we apply this method to the Helmholtz transmission eigenvalue problem which is …

The transmission eigenvalue problem is an important and challenging topic arising in the
inverse scattering theory. In this paper, for the Helmholtz transmission eigenvalue problem …

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