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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:81/0  |  提交时间:2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载:188/0  |  提交时间:2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
A locking free numerical approximation for quasilinear poroelasticity problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 6, 页码: 1538-1554
作者:  Zhang, Jingyuan;  Zhou, Chenguang;  Cao, Yanzhao;  Meir, A. J.
收藏  |  浏览/下载:159/0  |  提交时间:2021/01/14
Poroelasticity  Dilatation-dependent permeability  Volumetric stress formulation  Weak Galerkin mixed finite element method  Finite element method  
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载:194/0  |  提交时间:2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 914-934
作者:  Zhai, Qilong;  Xie, Hehu;  Zhang, Ran;  Zhang, Zhimin
收藏  |  浏览/下载:192/0  |  提交时间:2020/01/10
Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 117-135
作者:  Zhao, Yue;  Bu, Weiping;  Zhao, Xuan;  Tang, Yifa
收藏  |  浏览/下载:193/0  |  提交时间:2018/07/30
Space and time fractional Bloch-Torrey equation  Galerkin finite element method  L2-1(sigma) formula  Stability  Convergence  
High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 8, 页码: 1903-1914
作者:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Tang, Y. F.;  Wang, F. L.;  Shi, Y. H.
收藏  |  浏览/下载:147/0  |  提交时间:2018/07/30
Time fractional diffusion equations  H-1-Galerkin mixed finite element method  Anisotropic mesh  L1 approximation  Superclose and superconvergence  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载:175/0  |  提交时间:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 卷号: 41, 期号: 2, 页码: 273-299
作者:  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
Raviart-Thomas mixed FEM  Discontinuous Galerkin method  Convection dominated diffusion equations  Constrained optimal control problem  A priori error estimate  A posteriori error estimate  Adaptive finite element method  
Abstract cascading multigrid preconditioners in Besov spaces 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 卷号: 5, 期号: 2, 页码: 349-365
作者:  Ma, JT;  Brunner, H
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
cascading multigrid method  preconditioner  finite element method  Besov spaces  discontinuous Galerkin method