3 papers
math.NA2026
The discontinuous Galerkin method for the Oseen eigenvalue problem
Lingling Sun, Shixi Wang, Hai Bi +1
In this paper, we focus on investigating symmetric and nonsymmetric discontinuous Galerkin (DG) methods for solving the Oseen eigenvalue problem based on the velocity-pressure form…
math.NA2026
A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
Liangkun Xu, Shixi Wang, Yidu Yang +1
In this paper, we discuss a novel higher-order stabilization-free virtual element method for general second-order elliptic eigenvalue problems. Optimal a priori error estimates are…
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…