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Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
Authors:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
Favorite  |  View/Download:59/0  |  Submit date:2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
Authors:  Liu, Xuefeng;  Nakao, Mitsuhiro T.;  You, Chun'guang;  Oishi, Shin'ichi
Favorite  |  View/Download:77/0  |  Submit date:2021/04/26
Stokes equation  A posteriori error estimation  A priori error estimation  Finite element method  Hypercircle method  Eigenvalue problem  
High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
Authors:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
Favorite  |  View/Download:92/0  |  Submit date:2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
Isogeometric analysis for surface PDEs with extended Loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 398, 页码: 22
Authors:  Pan, Qing;  Rabczuk, Timon;  Xu, Gang;  Chen, Chong
Favorite  |  View/Download:112/0  |  Submit date:2020/01/10
Isogeometric analysis  Extended Loop subdivision  Surface PDEs  
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:  Yan, Zhenya
Favorite  |  View/Download:116/0  |  Submit date:2020/01/10
Isogeometric analysis of minimal surfaces on the basis of extended Catmull-Clark subdivision 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 337, 页码: 128-149
Authors:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong;  Xu, Guoliang;  Pan, Kejia
Favorite  |  View/Download:92/0  |  Submit date:2018/07/30
Isogeometric analysis  Extended Catmull-Clark subdivision  Error estimation  Minimal surfaces  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
Authors:  Wang, Fei;  Zhang, Shuo
Favorite  |  View/Download:86/0  |  Submit date:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element  
Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second-order two-scale method 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 14, 页码: 5109-5130
Authors:  Ma, Qiang;  Li, Zhihui;  Yang, Zihao;  Cui, Junzhi
Favorite  |  View/Download:93/0  |  Submit date:2018/07/30
SOTS asymptotic analysis  transient heat conduction  porous materials  curvilinear coordinates  coordinate transformation  
Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 343, 页码: 324-339
Authors:  Pan, Qing;  Chen, Chong;  Xu, Guoliang
Favorite  |  View/Download:73/0  |  Submit date:2018/07/30
Extended loop subdivision  Isogeometric analysis  Error estimates  Minimal surfaces  
Finite element methods for a class of continuum models for immiscible flows with moving contact lines 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017, 卷号: 84, 期号: 5, 页码: 268-291
Authors:  Reusken, Arnold;  Xu, Xianmin;  Zhang, Liang
Favorite  |  View/Download:73/0  |  Submit date:2018/07/30
moving contact line  general Navier boundary condition(GNBC)  sharp interface  level set  Nitsche's method  extended finite element method