5 papers · 1 filter
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…
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…
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…
A posteriori error estimates of mixed discontinuous Galerkin method for the Stokes eigenvalue problem
L. L. Sun, H. Bi, Y. D. Yang
In this paper, for the Stokes eigenvalue problem in -dimensional case , we present an a posteriori error estimate of residual type of the mixed discontinuous Galerkin f…
Lower bounds for eigenvalues of the Steklov eigenvalue problem with variable coefficients
Yu Zhang, Hai Bi, Yidu Yang
In this paper, using new correction to the Crouzeix-Raviart finite element eigenvalue approximations, we obtain lower eigenvalue bounds for the Steklov eigenvalue problem with vari…