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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：88/0  |  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  
CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 3, 页码: 1918-1940
作者:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
well-posedness  stability  time-domain electromagnetic scattering  PML  exponential convergence  
FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 2, 页码: 1229-1262
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
finite element method  parabolic equation  optimal control problem  moving manifold  fully discrete error estimates  
CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 48, 期号: 6, 页码: 2158-2185
作者:  Chen, Zhiming;  Zheng, Weiying
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
uniaxial perfectly matched layer  time-harmonic scattering problem  two-layered media  
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 1, 页码: 58-75
作者:  Ma, HP;  Sun, WW;  Tang, T
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Hermite spectral method  time-dependent scaling  stability  convergence  
An adaptive perfectly matched layer technique for time-harmonic scattering problems 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 2, 页码: 645-671
作者:  Chen, ZM;  Liu, XZ
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
adaptivity  perfectly matched layer  a posteriori error analysis  scattering problems  
A hybrid collocation method for Volterra integral equations with weakly singular kernels 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 卷号: 41, 期号: 1, 页码: 364-381
作者:  Cao, YZ;  Herdman, T;  Xu, YH
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
Volterra integral equations  hybrid collocation methods  weakly singular kernels  
Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 卷号: 37, 期号: 5, 页码: 1542-1570
作者:  Chen, ZM;  Du, Q;  Zou, J
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
finite element method  Maxwell equations  interface problems  nonmatching meshes  error estimates  saddle point formulation  extension theorem