DIVERGENCE-FREE

作品数：22被引量：29H指数：3
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相关领域：理学更多>>
相关作者：汤华中韩建强更多>>
相关机构：北京大学中国科学院数学与系统科学研究院更多>>
相关期刊：《Communications in Computational Physics》《Chinese Annals of Mathematics,Series B》《Journal of Modern Physics》《Science China Mathematics》更多>>
相关基金：国家自然科学基金中国博士后科学基金广东省自然科学基金教育部留学回国人员科研启动基金更多>>
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Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations
《Science China Mathematics》2024年第5期1133-1158,共26页Gang Chen Xiaoping Xie 
supported by National Natural Science Foundation of China(Grant Nos.12171341 and 11801063);supported by National Natural Science Foundation of China(Grant Nos.12171340 and 11771312);the Fundamental Research Funds for the Central Universities(Grant No.YJ202030)。
In this paper,we analyze a class of globally divergence-free(and therefore pressure-robust)hybridizable discontinuous Galerkin(HDG)finite element methods for stationary Navier-Stokes equations.The methods use the P_(k...
关键词：Navier-Stokes equations HDG methods DIVERGENCE-FREE uniqueness condition error estimates 
Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes
《Numerical Mathematics(Theory,Methods and Applications)》2024年第1期210-242,共33页Yu Xiong Yanping Chen Jianwei Zhou Qin Liang 
In this paper,we construct,analyze,and numerically validate a family of divergence-free virtual elements for Stokes equations with nonlinear damping on polygonal meshes.The virtual element method is H1-conforming and ...
关键词：Optimal error estimates DIVERGENCE-FREE virtual element nonlinear damping term. 
A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field
《Advances in Applied Mathematics and Mechanics》2023年第4期932-963,共32页Shijun Zou Xijun Yu Zihuan Dai Fang Qing Xiaolong Zhao 
supported by National Natural Science Foundation of China(Nos.12071046,11671049,91330107,11571002 and 11702028);China Postdoctoral Science Foundation(No.2020TQ0013).
A partial Runge-Kutta Discontinuous Galerkin(RKDG)method which preserves the exactly divergence-free property of the magnetic field is proposed in this paper to solve the two-dimensional ideal compressible magnetohydr...
关键词：Ideal compressible MHD equations semi-Lagrangian formulation exactly divergence-free magnetic field Runge-Kutta discontinuous Galerkin method 
PENALTY-FACTOR-FREE STABILIZED NONCONFORMING FINITE ELEMENTS FOR SOLVING STATIONARY NAVIER-STOKES EQUATIONS
《Journal of Computational Mathematics》2022年第5期728-755,共28页Linshuang He Minfu Feng Qiang Ma 
National Nature Science Foundation of China(No.11971337,No.11801387)。
Two nonconforming penalty methods for the two-dimensional stationary Navier-Stokes equations are studied in this paper.These methods are based on the weakly continuous P1 vector fields and the locally divergence-free(...
关键词：Stationary Navier-Stokes equations Nonconforming finite elements Penalty stabilization methods DG methods Locally divergence-free. 
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term
《Communications in Computational Physics》2022年第8期878-898,共21页Farah Kanbar Rony Touma Christian Klingenberg 
the National Council for Scientific Research of Lebanon(CNRS-L)for granting a doctoral fellowship to Farah Kanbar;funding by theQualification Programof the Julius Maximilians University Wurzburg.
A well-balanced second order finite volume central scheme for the magnetohydrodynamic(MHD)equations with gravitational source term is developed in this paper.The scheme is an unstaggered central scheme that evolves th...
关键词：MHD equations unstaggered central schemes well-balanced schemes steady states divergence-free constraint constrained transport method 
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field被引量：1
《Communications in Computational Physics》2022年第7期547-582,共36页Shijun Zou Xiaolong Zhao Xijun Yu Zihuan Dai 
supported by National Natural Science Foundation of China(12071046,11671049,91330107,11571002 and 11702028);China Postdoctoral Science Foundation(2020TQ0013).
In this paper,we present a Runge-Kutta Discontinuous Galerkin(RKDG)method for solving the two-dimensional ideal compressible magnetohydrodynamics(MHD)equations under the Lagrangian framework.The fluid part of the idea...
关键词：Lagrangian RKDG method ideal compressible MHD equations Taylor basis exactly divergence-freemagnetic field LIMITER 
The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems
《Numerical Mathematics(Theory,Methods and Applications)》2022年第2期484-509,共26页Di Li Zhiyuan Sun Fengru Wang Jerry Zhijian Yang 
supported by the National Key Research and Development Program of China(Grant No.2020YFA0714200);by the National Natural Science Foundation of China(Grant Nos.12125103,12071362,12101062);the China Postdoctoral Science Foundation(Grant No.2019M660558);by the Natural Science Foundation of Hubei Province(Grant No.2019CFA007)。
The discontinuous Galerkin method by divergence-free patch reconstruction is proposed for Stokes eigenvalue problems.It utilizes the mixed finite element framework.The patch reconstruction technique constructs two cat...
关键词：Stokes eigenvalue problems DIVERGENCE-FREE patch reconstruction discontinuous Galerkin mixed finite element 
An Uzawa-type algorithm for the coupled Stokes equations
《Applied Mathematics and Mechanics(English Edition)》2020年第7期1095-1104,共10页Pengzhan HUANG Yinnian HE 
Project supported by the National Natural Science Foundation of China(No.11861067)。
An Uzawa-type algorithm is designed for the coupled Stokes equations discretized by the mixed finite element method.The velocity solved by the presented algorithm is weakly divergence-free,which is different from the ...
关键词：coupled Stokes equation Uzawa method optimal relaxation parameter weakly divergence-free 
A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows被引量：4
《Science China Mathematics》2017年第8期1515-1528,共14页ZHENG XiaoBo CHEN Gang XIE XiaoPing 
supported by Major Research Plan of National Natural Science Foundation of China (Grant No. 91430105)
This paper proposes a weak Galerkin finite element method to solve incompressible quasi-Newtonian Stokes equations. We use piecewise polynomials of degrees k + 1(k 0) and k for the velocity and pressure in the interio...
关键词：quasi-Newtonian Stokes equation weak Galerkin method DIVERGENCE-FREE optimal error estimate 
Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem
《Chinese Annals of Mathematics,Series B》2017年第1期235-252,共18页Sagun CHANILLO Jean VAN SCHAFTINGEN Po-Lam YUNG 
S.Chanillo was partially supported by NSF grant DMS 1201474;J.Van Schaftingen was partially supported by the Fonds de la Recherche Scientifique-FNRS;P.-L.Yung was partially supported by a Titchmarsh Fellowship at the University of Oxford;a junior research fellowship at St.Hilda’s College;a direct grant for research from the Chinese University of Hong Kong(3132713);an Early Career Grant CUHK24300915 from the Hong Kong Research Grant Council
This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on R^n. The authors use this idea to extend the result to real hyperbolic spaces H^n.
关键词：Bourgain-Brezis inequalities Divergence-free vector fields Sobolev inequalities Real hyperbolic space 
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