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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：87/0  |  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  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载：152/0  |  提交时间：2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
Mixed Schemes for Fourth-Order DIV Equations 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
作者:  Fan, Ronghong;  Liu, Yanru;  Zhang, Shuo
收藏  |  浏览/下载：139/0  |  提交时间：2020/01/10
Fourth-Order DIV Equation  Mixed Scheme  Regularity Analysis  Finite Element Method  
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
作者:  Zhang, Wensheng
收藏  |  浏览/下载：165/0  |  提交时间：2019/03/05
3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
Optimal lower bound for the first eigenvalue of fourth order measure differential equation 期刊论文
Boundary Value Problems, 2018, 卷号: 2018, 期号: 1
作者:  Lijuan,Zhou;  Gang,Meng
收藏  |  浏览/下载：149/0  |  提交时间：2019/01/07
Eigenvalue  Fourth order equation  Minimization problem  Optimal lower bound  
A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 311, 页码: 130-147
作者:  Zhang, Wensheng;  Jiang, Jiangjun
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
3D  Acoustic wave equation  LOD  Fourth-order accuracy  Stability  Compact  
Well-posedness and exact controllability of fourth-order Schrodinger equation with hinged boundary control and collocated observation 期刊论文
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2016, 卷号: 28, 期号: 3, 页码: 28
作者:  Wen, Ruili;  Chai, Shugen;  Guo, Bao-Zhu
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Fourth-order Schrodinger equation  Well-posedness  Exact controllability  Boundary control and observation  
Well-posedness for the fourth-order nonlinear derivative Schrodinger equation in higher dimension 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2011, 卷号: 96, 期号: 2, 页码: 190-206
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Fourth-order Schrodinger equation  Well-posedness  Dyadic X(s,b) spaces  
A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 卷号: 32, 期号: 10-12, 页码: 1493-1510
作者:  Huo, Zhaohui;  Jia, Yueling
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
local well-posedness  the Fourier restriction norm  the fourth-order schrodinger equation  
Upper and lower solution method for fourth-order four-point boundary value problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 196, 期号: 2, 页码: 387-393
作者:  Zhang, Qin;  Chen, Shihua;  Lu, Jinhu
收藏  |  浏览/下载：71/0  |  提交时间：2018/07/30
lower and upper solution method  fourth-order ordinary differential equation  four-point boundary conditions