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A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 767-801
Authors:  Wang, Zezhong;  Hu, Qiya
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Thermally coupled eddy-current problem  finite element method  time step-length iteration  Picard iteration  optimal error estimates  preconditioner  
Central discontinuous Galerkin methods on overlapping meshes for wave equations 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
Authors:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
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Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
Authors:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
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hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
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
Authors:  Shen, Yue;  Jin, Chang
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Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
Authors:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
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Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
Authors:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
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Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
FINITE ELEMENT METHOD AND ITS ERROR ESTIMATES FOR THE TIME OPTIMAL CONTROLS OF HEAT EQUATION 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 2, 页码: 265-279
Authors:  Gong, Wei;  Yan, Ningning
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Time optimal control problems  finite element method  error estimates  
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
Authors:  Gong, Wei;  Yan, Ningning
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finite element method  parabolic equation  optimal control problem  moving manifold  fully discrete error estimates  
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 卷号: 114, 页码: 25-36
Authors:  Shi, Dongyang;  Tang, Qili;  Gong, Wei
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Characteristics  Sobolev equation  Nonconforming finite element  The optimal order error estimates  Global superconvergence  
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2011, 卷号: 53, 期号: 9-10, 页码: 1956-1969
Authors:  Shi, Dongyang;  Gong, Wei;  Ren, Jincheng
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Stationary Stokes and Navier-Stokes equations  Nonconforming mixed finite element scheme  Inf-sup condition  Optimal error estimates