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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
收藏  |  浏览/下载:113/0  |  提交时间:2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Linear screening for high-dimensional computer experiments 期刊论文
STAT, 2021, 卷号: 10, 期号: 1, 页码: 9
作者:  Li, Chunya;  Chen, Daijun;  Xiong, Shifeng
收藏  |  浏览/下载:99/0  |  提交时间:2022/04/02
best linear approximation  best subset regression  nonlinear model  sure independence screening  
Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
作者:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
收藏  |  浏览/下载:113/0  |  提交时间:2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:96/0  |  提交时间:2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
An efficient algorithm to compute the X-ray transform 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 19
作者:  Chen, Chong;  Wang, Runqian;  Bajaj, Chandrajit;  Oktem, Ozan
收藏  |  浏览/下载:103/0  |  提交时间:2022/04/02
X-ray transform  intersection length  projection matrix  non-vanishing intersectability  ambiguity and flexibility  tomographic image reconstruction  
Robust Bayesian matrix decomposition with mixture of Gaussian noise 期刊论文
NEUROCOMPUTING, 2021, 卷号: 449, 页码: 108-116
作者:  Wang, Haohui;  Zhang, Chihao;  Zhang, Shihua
收藏  |  浏览/下载:145/0  |  提交时间:2021/10/26
Bayesian method  Matrix decomposition  Maximum a posterior  Mixture of Gaussians  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:  Zhang, Shuo
收藏  |  浏览/下载:136/0  |  提交时间:2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 页码: 20
作者:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
收藏  |  浏览/下载:125/0  |  提交时间:2021/10/26
Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
Optimal design for kernel interpolation: Applications to uncertainty quantification 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 430, 页码: 19
作者:  Narayan, Akil;  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载:139/0  |  提交时间:2021/04/26
Kernel interpolation  Fekete points  Cholesky decomposition with pivoting  Hermite interpolation  Uncertainty quantification  
A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation 期刊论文
AIMS MATHEMATICS, 2021, 卷号: 6, 期号: 11, 页码: 12560-12582
作者:  Khan, Suliman;  Khan, M. Riaz;  Alqahtani, Aisha M.;  Shah, Hasrat Hussain;  Issakhov, Alibek;  Shah, Qayyum;  EI-Shorbagy, M. A.
收藏  |  浏览/下载:102/0  |  提交时间:2022/04/02
dual reciprocity method  multiquadrics  compactly supported radial basis functions  stability analysis  condition number  Poisson equation