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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:123/0  |  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  
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  
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
作者:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
收藏  |  浏览/下载:121/0  |  提交时间:2021/10/26
hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020, 卷号: 54, 期号: 6, 页码: 2229-2264
作者:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John R.;  Zhang, Yangwen
收藏  |  浏览/下载:143/0  |  提交时间:2021/01/14
Tangential Dirichlet boundary control  Stokes equations  hybridizable discontinuous Galerkin method  
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:161/0  |  提交时间:2020/01/10
Least-squares reconstruction  Discontinuous Galerkin method  Elliptic problem  
DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 561-578
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
收藏  |  浏览/下载:220/0  |  提交时间:2019/03/11
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 524-540
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
收藏  |  浏览/下载:194/0  |  提交时间:2020/05/24
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
A (CIP)-I-0 method of transmission eigenvalues for elastic waves 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 374, 页码: 237-248
作者:  Xi, Yingxia;  Ji, Xia;  Geng, Hongrui
收藏  |  浏览/下载:161/0  |  提交时间:2019/01/11
Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method  
A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 卷号: 11, 期号: 3, 页码: 453-476
作者:  Hu, Qiya;  Zhao, Lin
收藏  |  浏览/下载:183/0  |  提交时间:2018/09/08
Nonhomogeneous Helmholtz equation  inhomogeneous media  plane wave method  discontinuous Galerkin method  errors  preconditioner  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
作者:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
收藏  |  浏览/下载:143/0  |  提交时间:2018/07/30
Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields