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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：66/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
收藏  |  浏览/下载：86/0  |  提交时间：2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:  Ma, Chuwen;  Zhang, Qinghai;  Zheng, Weiying
收藏  |  浏览/下载：91/0  |  提交时间：2023/02/07
   unfitted characteristic finite element methods  time-varying domains  moving boundary problems  the advection-diffusion equation  fourth-order error estimates  
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：114/0  |  提交时间：2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
作者:  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
35J25  65N30  74F10  
Convergence rate of multiscale finite element method for various boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 374, 页码: 8
作者:  Ye, Changqing;  Dong, Hao;  Cui, Junzhi
收藏  |  浏览/下载：152/0  |  提交时间：2020/05/24
Multiscale finite element method  Boundary problems  Hemivariational inequality  Homogenization theory  Numerical convergence rate  
ORDER REDUCED METHODS FOR QUAD-CURL EQUATIONS WITH NAVIER TYPE BOUNDARY CONDITIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 565-579
作者:  Zhang, Weifeng;  Zhang, Shuo
收藏  |  浏览/下载：126/0  |  提交时间：2020/05/24
Quad-curl equation  Order reduced scheme  Regularity analysis  Finite element method  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：183/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
A multiscale method for wave propagation in 3D heterogeneous poroelastic media 期刊论文
GEOPHYSICS, 2019, 卷号: 84, 期号: 4, 页码: T237-T257
作者:  Zhang, Wensheng;  Zheng, Hui
收藏  |  浏览/下载：151/0  |  提交时间：2020/01/10
Liouville type theorem for higher order Henon equations on a half space 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 卷号: 183, 页码: 284-302
作者:  Dai, Wei;  Qin, Guolin;  Zhang, Yang
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
The method of scaling spheres in integral forms  Henon equations  Liouville theorems  Nonnegative solutions  Navier problems