2 papers
math.NA2026
A virtual element approximation for the modified transmission eigenvalues for natural materials
Liangkun Xu, Shixi Wang, Hai Bi
In this paper, we discuss a virtual element approximation for the modified transmission eigenvalue problem in inverse scattering for natural materials. In this case, due to the pos…
math.NA2026
Adaptive FEM with optimal convergence rate for non-self-adjoint eigenvalue problems
Shixi Wang, Hai Bi, Yidu Yang
In this paper, we first discuss the optimal convergence of the adaptive finite element methods for non-self-adjoint eigenvalue problems. We present new theoretical error estimators…