求解曲面上界面问题的有限元方法

12001466
2020
A0504.微分方程数值解
肖旭峰
青年科学基金项目
副教授
新疆大学
24万元
误差估计;曲面偏微分方程;稳定性分析;曲面有限元方法;界面问题
2021-01-01到2023-12-31
  • 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 Stabilized finite element approximation of the Swift–Hohenberg model on evolving surfaces 期刊论文 Xiao Yu;Shijie Huang;Xufeng Xiao;Xinlong Feng
2 A generalized finite difference method for solving elliptic interface problems with non-homogeneous jump conditions on surfaces 期刊论文 Changyin Guo;Xufeng Xiao;Lina Song;Zhijun Tan;Xinlong Feng
3 An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces 期刊论文 Shijie Huang;Xufeng Xiao;Xinlong Feng
4 A second-order maximum bound principle preserving operator splitting method for the Allen–Cahn equation with applications in multi-phase systems 期刊论文 Xufeng Xiao;Xinlong Feng
5 An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model 期刊论文 Yan Wang;Xufeng Xiao;Xinlong Feng
6 An Adaptive Time-Stepping Method for the Binary Fluid-Surfactant Phase Field Model on Evolving Surfaces 期刊论文 Shijie Huang;Xufeng Xiao;Xinlong Feng
7 Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method 期刊论文 Xufeng Xiao;Xinlong Feng;Zuoqiang Shi
8 Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces 期刊论文 Ming Sun;Xufeng Xiao;Xinlong Feng;Kun Wang
9 An ALE meshfree method for surface PDEs coupling with forced mean curvature flow 期刊论文 Nazakat Adil;Xufeng Xiao;Kun Wang;Xinlong Feng
10 An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model 期刊论文 Na Xie;Yan Wang;Xufeng Xiao;Xinlong Feng
11 Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments 期刊论文 Xingying Zhou;Guoqing Bian;Yan Wang;Xufeng Xiao
12 An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model 期刊论文 Yan Wang;Xufeng Xiao;Xinlong Feng
13 Fully decoupled, linear and positivity-preserving scheme for the chemotaxis–Stokes equations 期刊论文 Xueling Huang;Xinlong Feng;Xufeng Xiao;Kun Wang
14 An immersed finite element method for elliptic interface problems on surfaces 期刊论文 Changyin Guo;Xufeng Xiao;Xinlong Feng;Zhijun Tan
15 The local tangential lifting method for moving interface problems on surfaces with applications 期刊论文 Xufeng Xiao;Xinlong Feng;Zhilin Li
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