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A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载：160/0  |  提交时间：2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 3, 页码: 768-784
作者:  Du, Yulong;  Yuan, Li;  Wang, Yahui
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
Finite volume method  high-order accuracy  dimension-by-dimension reconstruction  Cartesian grid  
Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2018, 卷号: 86, 期号: 7, 页码: 491-508
作者:  Li, Gang;  Delestre, Olivier;  Yuan, Li
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 340, 页码: 534-555
作者:  Zhang, Wensheng;  Zhuang, Yuan;  Zhang, Lina
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
3D  Elastic wave equation  High-order  Finite volume method  Unstructured tetrahedral mesh  Wave propagation  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 卷号: 46, 期号: 3, 页码: 359-378
作者:  Teng, Fei;  Yuan, Li;  Tang, Tao
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Conservation law  Finite volume WENO method  Speed-up strategy  Multi-dimension  
P-1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 1, 页码: 59-80
作者:  Man, FY;  Shi, ZC
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
finite volume element method  cascadic multigrid  elliptic problems  
Moving mesh methods with locally varying time steps 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 卷号: 200, 期号: 1, 页码: 347-367
作者:  Tan, ZJ;  Zhang, ZR;  Huang, YQ;  Tang, T
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
moving mesh method  local time stepping  finite volume method  hyperbolic conservation laws  
Error estimates for finite volume element methods for general second-order elliptic problems 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2003, 卷号: 19, 期号: 6, 页码: 693-708
作者:  Wu, HJ;  Li, RH
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
finite volume element method  error estimates  elliptic problems