6 papers
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 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…
The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media
Shixi Wang, Hai Bi, Yidu Yang
The transmission eigenvalue problem arising from the inverse scattering theory is of great importance in the theory of qualitative methods and in the practical applications. In thi…
The Definition and Numerical Method of Final Value Problem and Arbitrary Value Problem
Shixiong Wang, Jianhua He, Chen Wang +1
Many Engineering Problems could be mathematically described by Final Value Problem, which is the inverse problem of Initial Value Problem. Accordingly, the paper studies the final…