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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 10, 页码: 21
作者:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
作者:  Zhu, Tielei;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/29
Interaction  Maxwell's equations  Navier equation  well-posedness  inverse scattering  uniqueness  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Critical order  Henon-Lane-Emden type equations  Liouville theorems  A priori estimates  
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：133/0  |  提交时间：2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations 期刊论文
ADVANCES IN NONLINEAR ANALYSIS, 2021, 卷号: 10, 期号: 1, 页码: 1356-1383
作者:  Wang, Yong;  Wu, Wenpei
收藏  |  浏览/下载：106/0  |  提交时间：2021/10/26
Elastic Navier-Stokes-Poisson equations  Initial-boundary value problems  Global solution  Exponential decay  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：152/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载：202/0  |  提交时间：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Liouville theorem for poly-harmonic functions on R-+(n) 期刊论文
ARCHIV DER MATHEMATIK, 2020, 页码: 11
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：124/0  |  提交时间：2020/05/24
Liouville theorems  Poly-harmonic functions  Super poly-harmonic properties  Harmonic asymptotic expansions  Navier problems