A stabilized P1-nonconforming immersed finite element method for the interface elasticity problems
ESAIM: M2AN, 51 1 (2017) 187-207
Published online: 2016-11-28
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Three-Dimensional Direct-Implicit Particle-in-Cell Model Using Trilinear Anisotropic Immersed-Finite-Element for Plasma Propulsion
Yajie Han, Guangqing Xia, Huifeng Kang, Chang Lu, Chong Chen and Vladimir SaetchnikovAIAA Journal 63 (1) 323 (2025)
https://doi.org/10.2514/1.J064305
An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface
Ziping Wang, Guangqing Xia, Yajie Han, Chang Lu, Lin Zhang and Gang XuComputers & Mathematics with Applications 192 155 (2025)
https://doi.org/10.1016/j.camwa.2025.05.017
A New Immersed Finite Element Method for Two-Phase Stokes Problems Having Discontinuous Pressure
Gwanghyun Jo and Do Young KwakComputational Methods in Applied Mathematics 24 (1) 49 (2024)
https://doi.org/10.1515/cmam-2022-0122
An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery
Siyu Wu, Jinwei Bai, Xiaoming He, Ren Zhao and Yong CaoJournal of Computational Physics 498 112703 (2024)
https://doi.org/10.1016/j.jcp.2023.112703
The least squares finite element method for elasticity interface problem on unfitted mesh
Fanyi YangESAIM: Mathematical Modelling and Numerical Analysis 58 (2) 695 (2024)
https://doi.org/10.1051/m2an/2024015
A new Petrov–Galerkin immersed finite element method for elliptic interface problems with non-homogeneous jump conditions
Zhongliang Tang, Yu Zheng, Liqun Wang and Quanxiang WangJournal of Engineering Mathematics 141 (1) (2023)
https://doi.org/10.1007/s10665-023-10286-3
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes
Hyeokjoo Park and Do Y. KwakComputers & Mathematics with Applications 147 185 (2023)
https://doi.org/10.1016/j.camwa.2023.07.025
Immersed finite element methods for convection diffusion equations
Gwanghyun Jo and Do Y. KwakAIMS Mathematics 8 (4) 8034 (2023)
https://doi.org/10.3934/math.2023407
Trilinear Immersed-Finite-Element Method for Three-Dimensional Anisotropic Interface Problems in Plasma Thrusters
Yajie Han, Guangqing Xia, Chang Lu and Xiaoming HeAIAA Journal 61 (10) 4267 (2023)
https://doi.org/10.2514/1.J062614
(2023)
https://doi.org/10.2139/ssrn.4677858
Locally conservative discontinuous bubble scheme for Darcy flow and its application to Hele-Shaw equation based on structured grids
Yoonjeong Choi, Gwanghyun Jo, Do Y. Kwak and Young Ju LeeNumerical Algorithms 92 (2) 1127 (2023)
https://doi.org/10.1007/s11075-022-01333-8
A Sequentially- Hybridized Locally Conservative Non-conforming Finite Element Scheme for Two-phase Flow Simulation through Heterogeneous Porous Media
Mehdi Jamei, Mehdi Mosharaf-Dehkordi and Hamid Reza GhafouriAdvances in Water Resources 162 104155 (2022)
https://doi.org/10.1016/j.advwatres.2022.104155
Shape optimization with immersed interface finite element method
Srivatsa Bhat Kaudur and Mayuresh J. PatilInternational Journal for Numerical Methods in Engineering 123 (23) 5907 (2022)
https://doi.org/10.1002/nme.7093
High order interface-penalty finite element methods for elasticity interface problems in 3D
Xiaodi ZhangComputers & Mathematics with Applications 114 161 (2022)
https://doi.org/10.1016/j.camwa.2022.03.044
Lowest-order virtual element methods for linear elasticity problems
Do Y. Kwak and Hyeokjoo ParkComputer Methods in Applied Mechanics and Engineering 390 114448 (2022)
https://doi.org/10.1016/j.cma.2021.114448
An immersed hybrid difference method for the elliptic interface equation
Youngmok JeonJapan Journal of Industrial and Applied Mathematics 39 (2) 669 (2022)
https://doi.org/10.1007/s13160-022-00503-4
Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces
Quanxiang Wang, Jianqiang Xie and Zhiyue ZhangApplicable Analysis 101 (6) 2197 (2022)
https://doi.org/10.1080/00036811.2020.1802431
Partially penalized IFE methods and convergence analysis for elasticity interface problems
Peiqi Huang and Zhilin LiJournal of Computational and Applied Mathematics 382 113059 (2021)
https://doi.org/10.1016/j.cam.2020.113059
A Deep Neural Network Based on ResNet for Predicting Solutions of Poisson–Boltzmann Equation
In Kwon, Gwanghyun Jo and Kwang-Seong ShinElectronics 10 (21) 2627 (2021)
https://doi.org/10.3390/electronics10212627
PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions
Daoru Han, Xiaoming He, David Lund and Xu ZhangSIAM Journal on Scientific Computing 43 (3) C235 (2021)
https://doi.org/10.1137/20M137344X
Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nernst-Planck model
In Kwon, Do Y. Kwak and Gwanghyun JoJournal of Computational Physics 438 110370 (2021)
https://doi.org/10.1016/j.jcp.2021.110370
A stable RBF partition of unity local method for elliptic interface problems in two dimensions
Faranak Gholampour, Esmail Hesameddini and Ameneh TaleeiEngineering Analysis with Boundary Elements 123 220 (2021)
https://doi.org/10.1016/j.enganabound.2020.10.016
Locally Conservative Immersed Finite Element Method for Elliptic Interface Problems
Gwanghyun Jo, Do Y. Kwak and Young-Ju LeeJournal of Scientific Computing 87 (2) (2021)
https://doi.org/10.1007/s10915-021-01476-1
Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump
Chang Lu, Zhi Yang, Jinwei Bai, Yong Cao and Xiaoming HeInternational Journal for Numerical Methods in Engineering 121 (10) 2107 (2020)
https://doi.org/10.1002/nme.6301
A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems
Chang Lu, Jie Wan, Yong Cao and Xiaoming HeComputer Methods in Applied Mechanics and Engineering 372 113345 (2020)
https://doi.org/10.1016/j.cma.2020.113345
A MODIFIED IMMERSED FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS
Q. WANG and Z. ZHANGThe ANZIAM Journal 62 (1) 42 (2020)
https://doi.org/10.1017/S1446181120000073
A Reduced Crouzeix–Raviart Immersed Finite Element Method for Elasticity Problems with Interfaces
Gwanghyun Jo and Do Young KwakComputational Methods in Applied Mathematics 20 (3) 501 (2020)
https://doi.org/10.1515/cmam-2019-0046
A stabilized immersed finite volume element method for elliptic interface problems
Quanxiang Wang and Zhiyue ZhangApplied Numerical Mathematics 143 75 (2019)
https://doi.org/10.1016/j.apnum.2019.03.010
An Immersed Finite Element Method for the Elasticity Problems with Displacement Jump
Daehyeon Kyeong and Do Young KwakAdvances in Applied Mathematics and Mechanics 9 (2) 407 (2017)
https://doi.org/10.4208/aamm.2016.m1427
A Consistent Immersed Finite Element Method for the Interface Elasticity Problems
Sangwon Jin, Do Y. Kwak and Daehyeon KyeongAdvances in Mathematical Physics 2016 1 (2016)
https://doi.org/10.1155/2016/3292487