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Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:  Lyu, Maohui;  Bokil, Vrushali A.;  Cheng, Yingda;  Li, Fengyan
收藏  |  浏览/下载:110/0  |  提交时间:2022/04/02
Maxwell's equations  Kerr and Raman nonlinear effects  Linear Lorentz  Nodal discontinuous Galerkin methods  Energy stable  High dimensions  
Exact Splitting Methods for Kinetic and Schrodinger Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 86, 期号: 1, 页码: 35
作者:  Bernier, Joackim;  Crouseilles, Nicolas;  Li, Yingzhe
收藏  |  浏览/下载:111/0  |  提交时间:2021/04/26
Exact splitting  Transport equations  Kinetic equations  Schrodinger equations  
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Ziyuan;  Yang, Zhijian
收藏  |  浏览/下载:162/0  |  提交时间:2020/01/10
Least-squares reconstruction  Discontinuous Galerkin method  Elliptic problem  
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 77, 期号: 2, 页码: 1185-1209
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载:141/0  |  提交时间:2018/11/16
Phase field model  Cahn-Hilliard equation  Energy stable  Stabilized semi-implicit scheme  Second order time marching  
Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 1, 页码: 48-68
作者:  Di, Yana;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载:169/0  |  提交时间:2018/07/30
Convection-diffusion equation  Stabilization parameter  SUPG  Anisotropic mesh  
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
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 586-604
作者:  Xie, Hehu;  Wu, Xinming
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Transmission eigenvalue problem  Finite element method  Error estimates  Multilevel correction method  
Trapezoidal Rule for Computing Supersingular Integral on a Circle 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 2, 页码: 740-760
作者:  Li, Jin;  Rui, Hongxing;  Yu, Dehao
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Supersingular integral  Composite trapezoidal rule  Error expansion  Superconvergence  Boundary element methods  
A Mixed Finite Element Scheme for Optimal Control Problems with Pointwise State Constraints 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 卷号: 46, 期号: 2, 页码: 182-203
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
Optimal control problems  State constraints  Mixed variational scheme  Finite element method  
Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 卷号: 39, 期号: 3, 页码: 441-453
作者:  Di, Yana;  Li, Ruo
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
Multi-mesh  Local refinement  Adaptive finite element  Dendritic growth  Level set