NONCONFORMING

作品数:107被引量:279H指数:9
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相关作者:白艳红王川龙冯民富陈绍春何江衡更多>>
相关机构:郑州大学太原师范学院四川大学华中科技大学更多>>
相关期刊:《Science China Mathematics》《高等学校计算数学学报》《Advances in Applied Mathematics and Mechanics》《Journal of Computational Mathematics》更多>>
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A COUPLED METHOD COMBINING CROUZEIX-RAVIART NONCONFORMING AND NODE CONFORMING FINITE ELEMENT SPACES FOR BOIT CONSOLIDATION MODEL
《Journal of Computational Mathematics》2024年第4期911-931,共21页Yuping Zeng Mingchao Cai Liuqiang Zhong 
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...
关键词:Poroelasticity Nonconforming finite element Inf-sup condition A priori error estimate 
CONVERGENCE ANALYSIS OF NONCONFORMING QUADRILATERAL FINITE ELEMENT METHODS FOR NONLINEAR COUPLED SCHRODINGER-HELMHOLTZ EQUATIONS
《Journal of Computational Mathematics》2024年第4期979-998,共20页Dongyang Shi Houchao Zhang 
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) ...
关键词:Schrodinger-Helmholtz equations Nonconforming FEMs Linearized Crank-Nicolson scheme Optimal error estimates 
A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem
《Engineering(科研)》2024年第4期83-101,共19页Shiying Wang Shuo Liu 
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...
关键词:Nonconforming Virtual Element Method Optimal Control Problem a Priori Error Estimate 
CONSERVATIVE CONFORMING AND NONCONFORMING VEMS FOR FOURTH ORDER NONLINEAR SCHRODINGER EQUATIONS WITH TRAPPED TERM
《Journal of Computational Mathematics》2024年第2期454-499,共46页Meng Li Jikun Zhao Zhongchi Wang Shaochun Chen 
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...
关键词:H^(2)conforming virtual element C^(0)nonconforming virtual element Morleytype nonconforming virtual element Nonlinear Schrodinger equation Conservation Convergence 
UNCONDITIONAL ERROR ANALYSIS OF VEMS FOR A GENERALIZED NONLINEAR SCHRODINGER EQUATION
《Journal of Computational Mathematics》2024年第2期500-543,共44页Meng Li Jikun Zhao Shaochun Chen 
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...
关键词:Conforming and nonconforming Virtual element methods Leap-frog scheme Generalized nonlinear Schrodinger system Unconditionally optimal error estimates 
Error Analysis of the Nonconforming P1 Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations
《Annals of Applied Mathematics》2024年第1期43-70,共28页Yanming Lai Kewei Liang Ping Lin Xiliang Lu Qimeng Quan 
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...
关键词:Navier-Stokes equations error estimates finite element method stabilization method 
Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media
《Communications in Computational Physics》2023年第10期1215-1246,共32页Phuoc-Toan Huynh Yanzhao Cao Thi-Thao-Phuong Hoang 
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...
关键词:Domain decomposition reduced fracture model operator splitting nonconforming time grids time-dependent Steklov-Poincare operator optimized Schwarz waveform relaxation 
THE NONCONFORMING CROUZEIX-RAVIART ELEMENT APPROXIMATION AND TWO-GRID DISCRETIZATIONS FOR THE ELASTICEIGENVALUE PROBLEM
《Journal of Computational Mathematics》2023年第6期1041-1063,共23页Hai Bi Xuqing Zhang Yidu Yang 
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...
关键词:Elastic eigenvalue problem Nonconforming Crouzeix-Raviart element Two-grid discretizations Error estimates LOCKING-FREE 
A LOW ORDER NONCONFORMING MIXED FINITE ELEMENT METHOD FOR NON-STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS SYSTEM
《Journal of Computational Mathematics》2023年第4期569-587,共19页Zhiyun Yu Dongyang Shi Huiqing Zhu 
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 ...
关键词:Non-stationary incompressible MHD problem Nonconforming mixed FEM Optimal order error estimates 
ANISOTROPIC EQ^(ROT)_(1) FINITE ELEMENT APPROXIMATION FOR A MULTI-TERM TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION
《Journal of Computational Mathematics》2023年第3期458-481,共24页Huijun Fan Yanmin Zhao Fenling Wang Yanhua Shi Fawang Liu 
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...
关键词:Multi-term time-fractional mixed sub-diffusion and diffusion-wave equation Nonconforming FEM L1-CN scheme Anisotropic meshes Convergence and superconvergence 
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