4 citations · 17 across the 13 of their papers we have counts for
16 papers
FE-Holomorphic Operator Function Method for Nonlinear Plate Vibrations with Elastically Added Masses
Xiangying Pang, Jiguang Sun, Zhimin Zhang
Vibrations of structures subjected to concentrated point loads have many applications in mechanical engineering. Experiments are expensive and numerical methods are often used for…
Solving Biharmonic Eigenvalue Problem With Navier Boundary Condition Via Poisson Solvers On Non-Convex Domains
Baiju Zhang, Hengguang Li, Zhimin Zhang
It is well known that the usual mixed method for solving the biharmonic eigenvalue problem by decomposing the operator into two Laplacians may generate spurious eigenvalues on non-…
Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials
Lueling Jia, Huiyuan Li, Zhimin Zhang
In this paper, we propose a sparse spectral-Galerkin approximation scheme for solving the second-order partial differential equations on an arbitrary tetrahedron. Generalized Koorn…
H()-conforming quadrilateral spectral element method for quad-curl problems
Lixiu Wang, Weikun Shan, Huiyuan Li +1
In this paper, we propose an -conforming quadrilateral spectral element method to solve quad-curl problems. Starting with generalized Jacobi polynomials, we first…
A -conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes
Waixiang Cao, Lueling Jia, Zhimin Zhang
In this paper, a new -conforming Petrov-Galerkin method for convection-diffusion equations is designed and analyzed. The trail space of the proposed method is a -conformi…
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
Waixiang Cao, Dongfang Li, Zhimin Zhang
In this paper, we present and analyze an energy-conserving and linearly implicit scheme for solving the nonlinear wave equations. Optimal error estimates in time and superconvergen…