33 citations · 59 across the 19 of their papers we have counts for
19 papers
Mini mixed finite element method for nearly incompressible linear elasticity problems
Zhijin Guan, Yue Feng, Hehu Xie +1
This paper addresses the numerical solution of nearly incompressible linear elasticity boundary value problems and their associated eigenvalue problems. A mixed finite element form…
The skew generalized von Neumann-Jordan type constant in Banach spaces
Yuxin Wang, Qi Liu, Yueyue Feng +2
Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp(λ,μ,X) based on C(X) constant is given in this paper. First, we wi…
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method
Yue Feng, Zhijin Guan, Hehu Xie +1
This study proposes a class of augmented subspace schemes for the weak Galerkin (WG) finite element method used to solve eigenvalue problems. The augmented subspace is built with t…
Uniform error bound of an exponential wave integrator for the long-time dynamics of the nonlinear Schrödinger equation with wave operator
Yue Feng, Yichen Guo, Yongjun Yuan
We establish the uniform error bound of an exponential wave integrator Fourier pseudospectral (EWI-FP) method for the long-time dynamics of the nonlinear Schrödinger equation with…
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations
Yue Feng, Georg Maierhofer, Katharina Schratz
We introduce a new non-resonant low-regularity integrator for the cubic nonlinear Schrödinger equation (NLSE) allowing for long-time error estimates which are optimal in the sense…
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine--Gordon equation
Yue Feng, Katharina Schratz
We establish the improved uniform error bounds on a Lawson-type exponential integrator Fourier pseudospectral (LEI-FP) method for the long-time dynamics of sine-Gordon equation whe…
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity
Weizhu Bao, Yue Feng, Ying Ma
We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie-Trotter time-spli…
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the weakly nonlinear Dirac equation
Weizhu Bao, Yongyong Cai, Feng Yue
Improved uniform error bounds on time-splitting methods are rigorously proven for the long-time dynamics of the weakly nonlinear Dirac equation (NLDE), where the nonlinearity stren…
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials
Weizhu Bao, Yue Feng, Jia Yin
We establish improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small electromagnetic potentials characterized by a dimen…
Improved uniform error bounds on time-splitting methods for long-time dynamics of the nonlinear Klein--Gordon equation with weak nonlinearity
Weizhu Bao, Yongyong Cai, Yue Feng
We establish improved uniform error bounds on time-splitting methods for the long-time dynamics of the nonlinear Klein--Gordon equation (NKGE) with weak cubic nonlinearity, whose s…
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Yue Feng, Ying Ma
We establish the error bounds of fourth-order compact finite difference (4cFD) methods for the Dirac equation in the massless and nonrelativistic regime, which involves a small dim…
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation
Weizhu Bao, Yongyong Cai, Yue Feng
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the Schrödinger equation with small potential and the nonlinear Schrödinger…
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials
Yue Feng, Jia Yin
Two exponential wave integrator Fourier pseudospectral (EWI-FP) methods are presented and analyzed for the long-time dynamics of the Dirac equation with small potentials characteri…
Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials
Yue Feng, Jia Yin
We compare the long-time error bounds and spatial resolution of finite difference methods with different spatial discretizations for the Dirac equation with small electromagnetic p…
Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation
Yue Feng, Wenfan Yi
We establish uniform error bounds of an exponential wave integrator Fourier pseudospectral (EWI-FP) method for the long-time dynamics of the nonlinear Klein-Gordon equation (NKGE)…
Long time error analysis of the fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation with weak nonlinearity
Yue Feng
We present the fourth-order compact finite difference (4cFD) discretizations for the long time dynamics of the nonlinear Klein-Gordon equation (NKGE), while the nonlinearity streng…
Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity
Weizhu Bao, Yue Feng, Chunmei Su
We establish uniform error bounds of time-splitting Fourier pseudospectral (TSFP) methods for the nonlinear Klein--Gordon equation (NKGE) with weak power-type nonlinearity and $O(1…
A High order Conservative Flux Optimization Finite Element Method for Diffusion Equations
Yujie Liu, Yue Feng, Ran Zhang
This article presents a high order conservative flux optimization (CFO) finite element method for the elliptic diffusion equations. The numerical scheme is based on the classical G…
Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity
Weizhu Bao, Yue Feng, Wenfan Yi
We establish error bounds of the finite difference time domain (FDTD) methods for the long time dynamics of the nonlinear Klein-Gordon equation (NKGE) with a cubic nonlinearity, wh…