supported by the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515011032);The work of M.Cai is supported in part by the NIH-BUILD(Grant No.UL1GM118973);by the NIH-RCMI(Grant No.U54MD013376);the National Science Foundation awards(Grant Nos.1700328,1831950);The work of L.Zhong is supported by the National Natural Science Foundation of China(Grant No.12071160)。
A mixed finite element method is presented for the Biot consolidation problem in poroe-lasticity.More precisely,the displacement is approximated by using the Crouzeix-Raviart nonconforming finite elements,while the fu...
supported by the National Natural Science Foundation of China(Grant No.12071443);by the Key Scientific Research Projects of Henan Colleges and Universities(Grant No.20B110013).
The focus of this paper is on two novel linearized Crank-Nicolson schemes with nonconforming quadrilateral finite element methods(FEMs)for the nonlinear coupled Schrodinger-Helmholtz equations.Optimal L^(2) and H^(1) ...
In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based on the NCVEM approximation o...
supported by the NSF of China(Grant Nos.11801527,11701522,11771163,11671160,1191101330);by the China Postdoctoral Science Foundation(Grant No.2018M632791);by the Key Scientific Research Projects of Higher Eduction of Henan(Grant No.19A110034).
This paper aims to construct and analyze the conforming and nonconforming virtual element methods for a class of fourth order nonlinear Schrodinger equations with trapped term.We mainly consider three types of virtual...
supported by the NSF of China(Grant Nos.11801527,11701522,11771163,12011530058,11671160,1191101330);by the China Postdoctoral Science Foundation(Grant Nos.2018M632791,2019M662506).
In this work,we focus on the conforming and nonconforming leap-frog virtual element methods for the generalized nonlinear Schrodinger equation,and establish their unconditional stability and optimal error estimates.By...
supported by the National Key Research and Development Program of China(No.2020YFA0714200);by the National Science Foundation of China(No.12371424).
In this paper we investigate the nonconforming P_(1) finite element ap-proximation to the sequential regularization method for unsteady Navier-Stokes equations.We provide error estimates for a full discretization sche...
partially supported by the US National Science Foundation under grant number DMS-1912626.
This paper is concerned with efficient numerical methods for the advectiondiffusion equation in a heterogeneous porous medium containing fractures.A dimensionally reduced fracture model is considered,in which the frac...
supported by the National Natural Science Foundation of China (Grant No.11761022)。
In this paper,we extend the work of Brenner and Sung[Math.Comp.59,321–338(1992)]and present a regularity estimate for the elastic equations in concave domains.Based on the regularity estimate we prove that the consta...
supported by the National Natural Science Foundations of China(Grant No.12071443)。
A low order nonconforming mixed finite element method(FEM)is established for the fully coupled non-stationary incompressible magnetohydrodynamics(MHD)problem in a bounded domain in 3D.The lowest order finite elements ...
National Natural Science Foundation of China(No.11971416);Scientific Research Innovation Team of Xuchang University(No.2022CXTD002);Foundation for University Key Young Teacher of Henan Province(No.2019GGJS214);Key Scientific Research Projects in Universities of Henan Province(Nos.21B110007,22A110022);National Natural Science Foundation of China(International cooperation key project:No.12120101001);Australian Research Council via the Discovery Project(DP190101889).
By employing EQ^(ROT)_(1) nonconforming finite element,the numerical approximation is presented for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on anisotropic meshes.Comparing with the m...