求解界面问题的浸入界面有限元方法及其预处理算法

11371199
2013
A0501.算法基础理论与构造方法
陈金如
面上项目
教授
南京师范大学
55万元
浸入界面有限元方法;预处理算法;多重网格方法;区域分解方法;界面问题
2014-01-01到2017-12-31
  • 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 semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions 期刊论文 Zhilin Li;Li Xiao;Qin Cai;Hongkai Zhao;Ray Luo
2 A unified mortar condition for nonconforming finite elements 期刊论文 Chunmei Wang;Shangyou Zhang;Jinru Chen
3 An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions 期刊论文 Zhilin Li
4 A two-level additive Schwarz preconditioning algorithm for the weak Galerkin method for the second-order elliptic equation 期刊论文 Fangfang Qin;Min Zha;Feng Wang
5 A symmetric and consistent immersed finite element method for interface problems 期刊论文 Haifeng Ji;Jinru Chen;Zhilin Li
6 An augmented IIM for helmholtz/poisson equations on irregular domains in complex space 期刊论文 Sidong M. Zhang;Zhilin Li
7 Unfitted finite element methods for the heat conduction in composite media with contact resistance 期刊论文 Haifeng Ji;Feng Wang;Jinru Chen
8 Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities 期刊论文 Yuping Zeng;Jinru Chen;Feng Wang
9 大型复杂问题科学计算的理论、算法与应用研究 奖励 宋永忠;王雨顺;韩德仁;孙文瑜;陈金如;张志跃
10 A mortar method using nonconforming and mixed finite elements for the coupled Stokes-Darcy model 期刊论文 Peiqi Huang;Jinru Chen;Mingchao Cai
11 A parallel Robin-Robin domain decomposition method for H(div)-elliptic problems 期刊论文 Yuping Zeng;Jinru Chen;Zhilin Li
12 A new augmented immersed finite element method without using SVD interpolations 期刊论文 Haifeng Ji;Jinru Chen;Zhilin Li
13 The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow 期刊论文 Juan Ruiz Alvarez;Zhilin Li
14 An unfitted discontinuous Galerkin method for elliptic interface problems 期刊论文 Qiuliang Wang;Jinru Chen
15 A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations 期刊论文 Peiqi Huang;Zhilin Li
16 Accurate solution and gradient computation for elliptic interface problems with variable coefficients 期刊论文 Zhilin Li;Haifeng Ji;Xiaohong Chen
17 The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions 期刊论文 Ling Zhu;Zhiyue Zhang;Zhilin Li
18 Local projection stabilized and characteristic decoupled scheme for the fluid-fluid interaction problems 期刊论文 Lingzhi Qian;Jinru Chen;Xinlong Feng
19 An augmented method for 4th order PDEs with discontinuous coefficients 期刊论文 Zhilin Li;Fangfang Qin
20 Effective matrix-free preconditioning for the augmented immersed interface method 期刊论文 Jianlin Xia;Zhilin Li;Xin Ye
21 A posteriori error estimates of a weakly over-penalized symmetric interior penalty method for elliptic eigenvalue problems 期刊论文 Yuping Zeng;Jinru Chen;Feng Wang
22 A posteriori error estimate for a discontinuous Galerkin approximation of Steklov eigenvalue problems 期刊论文 Yuping Zeng;Feng Wang
23 Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems 期刊论文 Yuping Zeng;Jinru Chen;Feng Wang
24 A new unfitted stabilized Nitsche's finite element method for Stokes interface problems 期刊论文 Qiuliang Wang;Jinru Chen
25 A Cartesian grid nonconforming Immersed finite element method for planar elasticity interface problems 期刊论文 Fangfang Qin;Jinru Chen;Zhilin Li;Mingchao Cai
26 A priori and a posteriori error estimates of a weakly over-penalized interior penalty method for non-self-adjoint and indefinite problems 期刊论文 Yuping Zeng;Jinru Chen;Feng Wang;Yanxia Meng
27 A BDDC algorithm for the mortar-type rotated Q1 FEM for elliptic problems with discontinuous coefficients 期刊论文 Yaqin Jiang;Jinru Chen
28 A conforming enriched finite element method for elliptic interface problems 期刊论文 Hua Wang;Jinru Chen;Pengtao Sun;Fangfang Qin
29 An augmented iim & preconditioning technique for jump embedded boundary conditions 期刊论文 Philippe Angot;Zhilin Li
30 Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer 期刊论文 Zhilin Li;Hayk Mikayelyan
31 Accurate gradient computations at interfaces using finite element methods 期刊论文 Fangfang Qin;Zhaohui Wang;Zhijie Ma;Zhilin Li
32 A Newton type linearization based two grid method for coupling fluid flow with porous media flow 期刊论文 Peiqi Huang;Mingchao Cai;Feng Wang
33 Augmented immersed finite element methods for some elliptic partial differential equations 期刊论文 Haifeng Ji;Jinru Chen;Zhilin Li
34 A sparse grid stochastic collocation method for elliptic interface problems with random input 期刊论文 Qian Zhang;Zhilin Li;Zhiyue Zhang
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