32 citations · 66 across the 12 of their papers we have counts for
12 papers
Dynamics for a viscoelastic beam equation with past history and nonlocal boundary dissipation
Linfang Liu, Vando Narciso, Zhijian Yang
This article aims to study the long-time dynamics of the linear viscoelastic plate equation subject to nonlinear and nonloca…
New Geometric Constant Related to the P-angle Function in Banach Spaces
Zhijian Yang, Yongjin Li
In this paper, combined with the P-angle function of Banach spaces and the geometric constants that can characterize Hilbert spaces, the new angular geometric constant is defined.…
Continuity of the attractors in time-dependent spaces and applications
Yanan Li, Zhijian Yang
In this paper, we investigate the continuity of the attractors in time-dependent phase spaces. (i) We establish two abstract criteria on the upper semicontinuity and the residual c…
New geometric constants of isosceles orthogonal type
Qi Liu, Zhijian Yang, Yongjin Li
Based on the parallelogram law and isosceles orthogonality, we define a new orthogonal geometric constant. We first discuss some basic properties of this new constant. Next, we con…
Novel constants based on the generalization of Von Neumann-Jordan constant
Yuxin Wang, Qi Liu, Qian Li +4
We introduce a new geometric constant based on a generalization of the parallelogram law, and study its properties as well as some relationships with other well-known geometric con…
Exponential attractor for the viscoelastic wave model with time-dependent memory kernels
Yanan Li, Zhijian Yang
The paper is concerned with the exponential attractors for the viscoelastic wave model in : $$u_{tt}-h_t(0)Δu-\int_0^\infty\partial_sh_t(s)Δu(t-s)\mathrm ds+f…
Uniform attractors of non-autonomous Kirchhoff wave models
Zhijian Yang, Yanan Li, Na Feng
The paper investigates the existence and upper semicontinuity of uniform attractors of the perturbed non-autonomous Kirchhoff wave equations with strong damping and supercritical n…
Global attractors and their upper semicontinuity for a structural damped wave equation with supercritical nonlinearity on
Qionglei Chen, Pengyan Ding, Zhijian Yang
The paper investigates the existence of global attractors and their upper semicontinuity for a structural damped wave equation on $\mathbb{R}^{N}: u_{tt}-Δu+(-Δ)^αu_{t}+u_{t}+u+g(u…
A Discontinuous Galerkin Method for the Stokes Equation by Divergence-free Patch Reconstruction
Ruo Li, Zhiyuan Sun, Zhijian Yang
A discontinuous Galerkin method by patch reconstruction is proposed for Stokes flows. A locally divergence-free reconstruction space is employed as the approximation space, and the…
A finite element method by patch reconstruction for the Stokes problem using mixed formulations
Ruo Li, Zhiyuan Sun, Fanyi Yang +1
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The…
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
Ruo Li, Pingbing Ming, Zhiyuan Sun +1
We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic problem on general polygonal mesh with only one degree of freedom per element. This is achieve…
A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem
Ruo Li, Pingbing Ming, Zhiyuan Sun +2
We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed metho…