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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
收藏  |  浏览/下载:92/0  |  提交时间:2023/02/07
Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:  Fu, Yaoyao;  Cao, Liqun
收藏  |  浏览/下载:54/0  |  提交时间:2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
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:153/0  |  提交时间:2020/05/24
Multiscale finite element method  Boundary problems  Hemivariational inequality  Homogenization theory  Numerical convergence rate  
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载:191/0  |  提交时间:2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
Alternating projection method for a class of tensor equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 346, 页码: 490-504
作者:  Li, Zhibao;  Dai, Yu-Hong;  Gao, Huan
收藏  |  浏览/下载:159/0  |  提交时间:2019/01/11
Tensor-vector product  Tensor equation  Ellipsoid surface  Alternating projection method  Regularity  
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 325, 页码: 134-148
作者:  Zhou, Weien;  Zhang, Jingjing;  Hong, Jialin;  Song, Songhe
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Stochastic differential equations  Stochastic Runge-Kutta methods  Symplectic integrators  Mean-square convergence  
A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 460-479
作者:  Zhang, Yongwei;  Cao, Liqun;  Feng, Yangde;  Wang, Wu
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
The electromagnetic scattering problem  Maxwell's equations  Homogenization  Multiscale asymptotic expansion  A heterogeneous material  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
作者:  Chen, Zhongwen;  Dai, Yu-Hong
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
A stable and scalable hybrid solver for rate-type non-Newtonian fluid models 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 103-118
作者:  Lee, Young-Ju;  Leng, Wei;  Zhang, Chen-Song
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Finite element methods  Scalable solver  Stable discretization  Non-Newtonian models