高维扩散方程的非线性保正有限体积格式设计及其理论分析

11771052
2017
A0501.算法基础理论与构造方法
高志明
面上项目
副研究员
北京应用物理与计算数学研究所
48万元
有限体积方法;保正算法;多面体网格
2018-01-01到2021-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 A linearity-preserving vertex interpolation algorithm for cell-centered finite volume approximations of anisotropic diffusion problems 期刊论文 Di Yang;Zhiming Gao
2 Analysis of a Special Q(1)-Finite Volume Element Scheme for Anisotropic Diffusion Problems 期刊论文 Fang Fang;Hong Qi;Wu Jiming
3 A 3D cell-centered Lagrangian scheme for the ideal Magnetohydrodynamics equations on unstructured meshes 期刊论文 徐骁;戴自换;高志明
4 A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes 期刊论文 Peng Gang;Gao Zhiming;Feng Xinlong
5 Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition 期刊论文 Jingwei Li;Zhiming Gao;Zihuan Dai;Xinlong Feng
6 Coercivity results of a modified Q (1)-finite volume element scheme for anisotropic diffusion problems 期刊论文 Hong Qi;Wu Jiming
7 A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes 期刊论文 Shuai Su;Qiannan Dong;Jiming Wu
8 任意四边形网格上扩散问题的一个稳定九点格式 期刊论文 洪旗;苏帅
9 Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation 期刊论文 Zhu Shengfeng;Gao Zhiming
10 A stabilized extremum-preserving scheme for nonlinear parabolic equation on polygonal meshes 期刊论文 Peng Gang;Gao Zhiming;Feng Xinlong
11 An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes 期刊论文 Peng Gang;Gao Zhiming;Feng Xinlong
12 A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations 期刊论文 Peng Gang;Gao Zhiming;Yan Wenjing;Feng Xinlong
13 A vertex-centered and positivity-preserving scheme for anisotropic diffusion equations on general polyhedral meshes 期刊论文 Su Shuai;Dong Qiannan;Wu Jiming
14 Numerical approximation of the dynamic Koiter's model for the hyperbolic parabolic shell 期刊论文 Xiaoqin Shen;Qian Yang;Linjin Li;Zhiming Gao;Tiantian Wang
15 The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes 期刊论文 Peng Gang;Gao Zhiming;Yan Wenjing;Feng Xinlong
16 一维拉氏计算中交错格式与单元中心格式的数值研究 期刊论文 徐骁;戴自换;高志明
17 A 3D staggered Lagrangian scheme for ideal magnetohydrodynamics on unstructured meshes 期刊论文 Xu Xiao;Gao Zhiming;Dai Zihuan
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