-
An analysis of nonconforming virtual element methods on polytopal meshes with small faces , (with
Hyeokjoo Park),
Mathematical Models and Methods in Applied Sciences, Vol. 34, No. 4 (2024) 571--596.
DOI: 10.1142/S021820252450009X
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A nonconforming immersed virtual element method for elliptic interface problems , (with
Hyeokjoo Park),
ESAIM: M2AN, Accepted: 12 September 2023
DOI: https://doi.org/10.1051/m2an/2023078
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An immersed weak Galerkin method for elliptic interface problems on polygonal meshes
, (with Hyeokjoo Park), Computers and Mathematics with Applications 147(2023), pp. 185?201.
https://doi.org/10.1016/j.camwa.2023.07.025
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A new immersed finite element method for two phase Stokes problems having discontinuous pressure
, (with Gwanghyun Jo), Computational Methods in Applied Mathematic, 2023
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Immersed finite element methods for convection diffusion equations
, (with Gwanghyun Jo), AIMS Mathematics, 2023
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Mixed virtual volume methods for elliptic problems , (with
Gwanghyun Jo), Computers and Mathematics with Applications, 113(2022), pp 345--352.
https://doi.org/10.1016/j.camwa.2022.03.038
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Locally conservative discontinuous bubble scheme
for Darcy flow and its application to Hele-Shaw
equation based on structured grids , (with
Yoonjeong Choi, Gwanghyun Jo, and Young Ju Lee), Numerical Algorithms, 2022
https://doi.org/10.1007/s11075-022-01333-8
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A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem , (with Hyeokjoo Park), Numerical Algorithms, 2022, https://doi.org/10.1007/s11075-022-01269-z
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Lowest-order virtual element methods for linear elasticity problems , (with Hyeokjoo Park), Comp. Methods in Applied Mechanics and Eng., V 390, 15, Feb, 2022, https://doi.org/10.1016/j.cma.2021.114448
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Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nernst-Planck model , (with Gwanghyun Jo and In Kwon),
J. of Comp. Physics, V 438 Aug. 2021
https://doi.org/10.1016/j.jcp.2021.110370
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Locally Conservative Immersed Finite Element Method for Elliptic Interface Problems , (with Gwanghyun Jo and Young-Ju Lee),
J. of Scientific Computing, April 2021
https://doi.org/10.1007/s10915-021-01476-1
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A Semi Uniform Multigrid Algorithm For Solving Elliptic Interface Problems , (with Gwanghyun Jo),
Computational Methods in Applied Mathematics, 11 Sept 2020
https://doi.org/10.1515/cmam-2020-0039
- A Stabilized Low Order Finite Element Method
for Three Dimensional Elasticity Problems , (with Gwanghyun Jo), Numer. Math. Theor. Meth. Appl.
Volume 13, No 2, 2020, https://doi: 10.4208/nmtma.OA-2019-0034
- Spectral encapsulation of OFDM systems based on orthogonalization for short packet transmission , (with
Myungsup Kim, Ki-Man Kim, Wan-Jin Kim), ETRI Journal 2020; 42(6): 859-871. Wiley DOI: 10.4218/ etrij.2019-0307
- Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation , (with In Kwon),
Comm. in Comp. Physics, v.25, no.3, 2019, pp.928 - 946,
DOI 10.4208/cicp.OA-2018-0014, http://hdl.handle.net/10203/250344
- A Reduced Crouzeix-Raviart Immersed Finite
Element Method for Elasticity Problems with Interfaces , (with Gwanghyun Jo),
Computational Methods in Applied Mathematics, Volume 20: Issue 3,
https://doi.org/10.1515/cmam-2019-0046
- Enriched P1-Conforming Methods for Elliptic Interface
Problems with Implicit Jump Conditions , (with Gwanghyun Jo), Advances in Mathematical Physics
Volume 2018, https://doi.org/10.1155/2018/9891281
- Geometric multigrid algorithms for elliptic interface
problems using structured grids ,
(with Gwanghyun Jo), Numer Algor
published online June 07, 2018. https://doi.org/10.1007/s11075-018-0544-9
- Immersed Finite Element Method for Eigenvalue Problems in Elasticity ,
(with Seungwoo Lee and Imbo Sim),
Adv. Appl. Math. Mech., Vol. 10, No. 2, pp. 424-444, 2018.
- Generalized OFDM ,
(with Myungsup Kim), The 8th International Conference on ICTC Convergence, October 18-20, 2017, Jeju Island, Korea
- COLUMN MEAN VANISHING MATRICES ,
(with Myungsup Kim), Inter. J. Pure and Applied Mathematics, 114 (2017) pp. 4572--471.
- A Pilot Included Column Mean Vanishing Matrix,
(with Myungsup Kim), Journal of Mathematics Research; Vol. 9, No. 2; April (2017) pp. 128--132.
URL: https://doi.org/10.5539/jmr.v9n2p128
- Generalized OFDM for 5th Generation Mobile Communications ,
(with Myungsup Kim), Vehicular Technology Conference (VTC Spring), 2017 IEEE 85th, Sydney. 4-7 June 2017, pp. 1--5.
DOI: 10.1109/VTCSpring.2017.8108397.
- Erratum: An analysis of a broken P1-nonconforming
finite element method for interface problems,
(with Kye T. Wee, and Kwang S. Chang), SIAM J. Numer. Anal. Vol. 55, (2017) pp. 2110--2111.
- A new finite element method for interface
problems having a Robin type jump,
(with Seungwoo Lee and Yungkyong Hyon), Inter. J. Numer. Anal. and Modeling, 14 (2017) pp. 532--549.
- Immersed finite element method for eigenvalue problem,
(with Seungwoo Lee and Imbo Sim), Journal of Computational and Applied Mathematics. 313 (2017) pp. 410--426.
- An IMPES scheme for a two-phase flow in
heterogeneous porous media using a structured grid, (with Gwanghyun Jo) Comput. Methods Appl. Mech. Engrg. V 317,
pp. 684-701, (2017), https://doi.org/10.1016/j.cma.2017.01.005.
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A Stabilized P1-nonconforming Immersed Finite Element
Method For The Interface Elasticity Problems , (with Sangwon Jin and Daehyeon Kyeong)
ESAIM: Mathematical Modeling and Numerical Analysis, V 51, 187--207, 2017
- An Immersed Finite Element Method for the
Elasticity Problems with Displacement Jump , (with Daehyeon Kyeong) Advances in Applied Mathematics and Mechanics,
Vol. 9, No. 2, pp. 407-428, April 2017
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A Consistent Immersed Finite Element Method for the Interface Elasticity Problems ,
(with Sangwon Jin and Daehyeon Kyeong), Advances in Mathematical Physics Volume 2016,
http://dx.doi.org/10.1155/2016/3292487.
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(with çïí»Í· and ×ÝÜØäÅ), Acta Physica Sinica 2016
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Jan£¬2016.
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New curl conforming finite elements on parallelepiped , (with Ji Hyun Kim) Numer. Math.,
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A generalization of the divide and conquer algorithm for the symmetric tridiagonal eigenproblem , (with Jaeyeon Kim)
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- A flux preserving immersed nonconforming finite element
method for elliptic problems ,
(with Y. Jeon) Applied Numerical Mathematics, 81 (2014) pp. 94--104.
- A New Class of Higher Order Mixed Finite Volume Methods for Elliptic Problems ,
SIAM J. Numer. Anal. 50-4 (2012), pp. 1941--1958.
- A new family of mixed finite element spaces on a class of distorted hexahedra ,
(with J. H. Kim), International Journal of Pure and Applied Mathematics, Vol 76 No. 4 (2012), 571--592.
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(with Y. K. Hyon), Journal of Computational and Applied Mathematics, V. 235
(2011), Issue 14, pp. 4265-4271.
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(with H. C. Pyo), Applied Mathematics and Computation,
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- An Analysis of A Broken P1-nonconforming Finite
Element Methods for Interface Problems ,
(with Kye T. Wee and Kwang. S. Chang), SIAM J. Numer. Anal.
V. 48, No. 6(2010), pp. 2117--2134.
- Discontinuous Bubble scheme for elliptic problems with jumps in the solution ,
(with K. S. Chang),
Computer Methods in Applied Mechanics and Engineering, V. 200 (2011), pp. 494--508.
- New Quadrilateral Mixed Finite Elements ,
(with YungKyong Hyon),
ETNA, V.37 (2010), pp. 189--201
- Optimal convergence analysis of an immersed interface finite element method ,
(with S. H. Chou, K.T. Wee),
Advances in Computational Mathematics. V 33 (2010), pp. 149--168
- Energetic Variational Approach in Complex Fluids:
Maximum Dissipation Principle , (with Yunkyong Hyon and Chun Liu), Discrete and Continuous
Dynamical Systems-A, V. 26, N.4 (2010) pp. 1291--1304, April
- An Analysis of a covolume Method for the Stationary Navier-Stokes Equations ,
(with D. Bayanjargal), IJPAM, V 52, No 3 (2009), pp. 339--353
- Block iterative solvers for higher order finite volume methods ,
(with Hijin Lee), Journal of Computational and Applied
Mathematics, V 232, (2009), pp. 378--387
- A nonconforming covolume method for elliptic problems , (with Yun K. Hyon and Ho J. Jang), Applied Mathematics and Computation, V 196 (2008), pp. 60-66
- Numerical treatment of a skew-derivative problem
for the Laplace equation in the exterior of an open arc , (with P. A. Krutitskii and Y. K. Hyon)
J. Eng Math V 59 (2007), pp. 25-60
- Characteristic-mixed covolume method for advection dominated diffusion
problems , (with Z. Chen and S.H. Chou), Numerical Linear Algebra with Applications, V 13 (2006), pp. 677-697
- Comparison of $V$-cycle Multigrid Method for Cell Centered Finite Difference on
Triangular Grid , (with J.S. Lee), Numerical Methods in PDE, V 22 (2006), pp. 1080-1089
- $L^2$ convergence of Covolume Method for the Generalized
Stokes Problem , (with K. Kang), Numerical Methods in PDE, V22 (2006), pp. 165-179
- V-cycle Multigrid Convergence of Some Finite Difference Scheme for the Helmholtz Equation , (with J. S. Lee), Siberian Journal of Numerical Mathematics, V8,
No3 (2005), pp. 207--218
- Multigrid analysis For higher order Finite Difference
Scheme , (with J. S. Lee), Journal of Numerical Mathematics, V12,
No4 (2004), pp. 285--296
- Optimal Stopping of Active Portfolio Management , (with K. J. Choi and H. K. Koo),
Annals of Economics and Finance, 5 (2004), pp. 93--126
- Multigrid Algorithm For The Cell Centered Finite
Difference Method II: Discontinuous Coefficient Case , (with J. S.
Lee), Numerical Methods for PDE. V 20, No 5, (2004), pp. 742-764
- $L^p$-error estimate for covolume or finite volume
element methods, (with .S. H. Chou and Q. Li), Numerical Methods for
PDE. V 19, (2003), pp. 463--486.
- Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal
Control Optimality System , (with A. Borzi and K. Kunish), SIAM J.
on Control Optim. V 41, No 5 (2003), pp. 1477-1497
- Domain decomposition for model heterogeneous anisotropic
problem , (with S. V. Nepomnyaschikh and H. C. Pyo), Numer. Linear Algebra Appl. V.10(2003), pp. 129--157
- V-cycle Multigrid Convergence for Cell-Centered Finite Difference Methods,
3 D case.
14th International Conference in Domain Decomposition Methods, Jan, 2002, Mexico.
- Mixed Finite
Volume Methods on Nonstaggered Quadrilateral Grids for Elliptic
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- A General Multigrid Framework for a Class of Perturbed Problems
, Contemporary Mathematics, V. 295, 2002.
- Flux Recovery From Primal Hybrid Finite Element Methods , (with S. H. Chou and K. Kim),
SIAM J. Numerical Analysis, Vol. 40, No. 2 (2002), pp. 403-415
- Multigrid
Algorithms for a Vertex-Centered Covolume Method for Elliptic
Problems , (with S. H. Chou), Numerische Mathematische, 90, (2002),
pp. 441--458.
- Covolume Method for New nonconforming Rectangle Element for the Stokes Problem , (with Kab Seok Kang), Computer and Mathematics
with Applications, V 43(2002), pp. 1063--1078.
- Indecomposable Quasi-Characteristics Scheme on Pyramidal Stencil and its
Application for Numerical Simulation of Two-Phase Flows Through
Inhomogeneous Porous Medium , (with M. Levin and Sungyun Lee)
Numerical Methods for Partial Differential Equations, 18,
no. 1 (2002), pp. 44--55.
- High-Resolution Monotone
Scheme Based on Quasi-Chracteristics Technique , (with M. Levin),
Numerical Methods for Partial Differential Equations 17, No 3 (2001), pp. 262-276
- A General
Framework for Constructing and Analyzing Mixed Finite Volume
Methods on Quadrilateral Grids: the Overlapping Covolume Case ,
(with S. H. Chou and K. Kim), SIAM J. Numerical Analysis, 39,
no. 4 (2001), pp. 1170--1196
- A Stablized Covolume Method for the Stokes
problem , (with H. J. Kwon), Comp. Meth. Appl. Mech. Eng. 190 (2001),
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- Comparison of multigrid performance for
higher order scheme with 5-point scheme , (with Mun S. Han and Jun
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- Mixed Covolume Methods for Quasi-Linear Second-Order
Elliptic Problems , (with Kwang Y. Kim), SIAM J. Numerical Analysis, Vol 38, No 4 (2000), pp. 1057-1072
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Math. and Math. Sci. Vol 23, No 8 (2000), pp. 567--578
- Superconvergence of finite element method for linear integro-differential
equations , (with S. Lee and Q. Li), International J. of Math. and
Math. Sci. Vol 23, No 5 (2000), pp. 343--359
- Mixed Covolume Method for elliptic problems on rectangular
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Convergence of Multigrid Methods for nonconforming finite Element Without Regularity Assumptions , (with Z. Chen), J. Comp. Appl.
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