1. 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
  2. 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
  3. 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
  4. A new immersed finite element method for two phase Stokes problems having discontinuous pressure , (with Gwanghyun Jo), Computational Methods in Applied Mathematic, 2023
  5. Immersed finite element methods for convection diffusion equations , (with Gwanghyun Jo), AIMS Mathematics, 2023
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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.
  20. Generalized OFDM , (with Myungsup Kim), The 8th International Conference on ICTC Convergence, October 18-20, 2017, Jeju Island, Korea
  21. COLUMN MEAN VANISHING MATRICES , (with Myungsup Kim), Inter. J. Pure and Applied Mathematics, 114 (2017) pp. 4572--471.
  22. 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
  23. 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.
  24. 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.
  25. 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.
  26. Immersed finite element method for eigenvalue problem, (with Seungwoo Lee and Imbo Sim), Journal of Computational and Applied Mathematics. 313 (2017) pp. 410--426.
  27. 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.
  28. 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
  29. 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
  30. 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.
  31. ìéë«æðîîÓôÛ°ïïæðê¹ÚãÙýð¹õÌá³ì£ã«ò¨ò¥ú¾ÕáѦÐÎÞÄÏ´ú° , (with çïí»Í· and ×ÝÜØäÅ), Acta Physica Sinica 2016
  32. ìéë«æðîîÓôÛ°ïïæðê¹ÚãÙýð¹ÐñåÚõÌá³ì£ã«ÛöîÜïáöÎûùÛ°Ûö , (with çïí»Í· and ×ÝÜØäÅ), Chinse J. Comp. Phys. V£®33£¬No£®1 Jan£¬2016.
  33. New curl conforming finite elements on parallelepiped , (with Ji Hyun Kim) Numer. Math., V 131, 473-488, 2015.
  34. A generalization of the divide and conquer algorithm for the symmetric tridiagonal eigenproblem , (with Jaeyeon Kim) https://arxiv.org/pdf/1506.08517.pdf
  35. A Modified P1-immersed Finite Element Method, (with Juho Lee) International Journal of Pure and Applied Mathematics, V. 104 No. 3,471-494, 2015.
  36. Multigrid Methods for Improving the Variational Data Assimilation in Numerical Weather Prediction , (with Youn-Hee Kang and Kyungjeen Park) Tellus, 66, 2014. http://dx.doi.org/10.3402/tellusa.v66.20217
  37. A flux preserving immersed nonconforming finite element method for elliptic problems , (with Y. Jeon) Applied Numerical Mathematics, 81 (2014) pp. 94--104.
  38. A New Class of Higher Order Mixed Finite Volume Methods for Elliptic Problems , SIAM J. Numer. Anal. 50-4 (2012), pp. 1941--1958.
  39. 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.
  40. Superconvergence of new mixed finite element spaces , (with Y. K. Hyon), Journal of Computational and Applied Mathematics, V. 235 (2011), Issue 14, pp. 4265-4271.
  41. Mixed finite element methods for general quadrilateral grids , (with H. C. Pyo), Applied Mathematics and Computation, V 217(2011),N. 14, pp. 6556-6565.
  42. 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.
  43. 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.
  44. New Quadrilateral Mixed Finite Elements , (with YungKyong Hyon), ETNA, V.37 (2010), pp. 189--201
  45. 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
  46. 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
  47. An Analysis of a covolume Method for the Stationary Navier-Stokes Equations , (with D. Bayanjargal), IJPAM, V 52, No 3 (2009), pp. 339--353
  48. Block iterative solvers for higher order finite volume methods , (with Hijin Lee), Journal of Computational and Applied Mathematics, V 232, (2009), pp. 378--387
  49. 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
  50. 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
  51. 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
  52. 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
  53. $L^2$ convergence of Covolume Method for the Generalized Stokes Problem , (with K. Kang), Numerical Methods in PDE, V22 (2006), pp. 165-179
  54. 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
  55. Multigrid analysis For higher order Finite Difference Scheme , (with J. S. Lee), Journal of Numerical Mathematics, V12, No4 (2004), pp. 285--296
  56. Optimal Stopping of Active Portfolio Management , (with K. J. Choi and H. K. Koo), Annals of Economics and Finance, 5 (2004), pp. 93--126
  57. 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
  58. $L^p$-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.
  59. 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
  60. 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
  61. V-cycle Multigrid Convergence for Cell-Centered Finite Difference Methods, 3 D case. 14th International Conference in Domain Decomposition Methods, Jan, 2002, Mexico.
  62. Mixed Finite Volume Methods on Nonstaggered Quadrilateral Grids for Elliptic Problems , (with S. H. Chou and K. Kim), Math. Comp. V. 72, No 242 (2002), pp. 525-539
  63. A General Multigrid Framework for a Class of Perturbed Problems , Contemporary Mathematics, V. 295, 2002.
  64. 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
  65. Multigrid Algorithms for a Vertex-Centered Covolume Method for Elliptic Problems , (with S. H. Chou), Numerische Mathematische, 90, (2002), pp. 441--458.
  66. 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.
  67. 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.
  68. 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
  69. 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
  70. A Stablized Covolume Method for the Stokes problem , (with H. J. Kwon), Comp. Meth. Appl. Mech. Eng. 190 (2001), pp. 2523-2532
  71. Comparison of multigrid performance for higher order scheme with 5-point scheme , (with Mun S. Han and Jun S. Lee), J. of KSIAM, Vol 4, no 2 (2000), pp. 135--147.
  72. 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
  73. Superconvergence of finite element Superconvergence of finite element method for parabolic problem , (with S. Lee and Q. Li), International J. of Math. and Math. Sci. Vol 23, No 8 (2000), pp. 567--578
  74. 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
  75. Mixed Covolume Method for elliptic problems on rectangular domain , (with S. H. Chou), SIAM J. Num. Anal. Vol37, No 3 (2000), pp, 758--771
  76. V-cycle multigrid for cell-centered finite differences , SIAM J. Scientific Computing, Vol 21, No 2 (1999), pp. 552-564.
  77. Multigrid algorithm for cell centered finite difference on triangular meshes , (with H. J. Kwon and S. Lee), Applied Math. and Comp.(105) (1999), pp. 77--85.
  78. Mixed Upwinding Covolume Methods on Rectangular Grids for Convection--Diffusion Problems , (with S. H. Chou and S. Vassilevski), SIAM J. Scientific Comp. Vol 21, No1, (1999) pp. 145--165
  79. Convergence of Multigrid Methods for nonconforming finite Element Without Regularity Assumptions , (with Z. Chen), J. Comp. Appl. Math. V17, N3 (1998), pp. 283--302
  80. V-cycle Galerkin-multigrid methods for nonconforming methods for nonsymmetric and indefinite problems , (with Z. Chen), Applied Numerical Mathematics, V28 (1998), pp. 17--35
  81. Mixed Covolume Method for elliptic problems on triangular grids , (with S. H. Chou and S. Vassilevski), SIAM J. Num. Anal. Vol 35, No 5 (1998), pp. 1850--1861
  82. A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem , (with S. H. Chou), SIAM J. Numer. Anal., V. 35, no 2 (1998), pp. 494--507
  83. Multigrid Algorithms for Nonconforming and Mixed Methods for Nonsymmetric and Indefinite Problems , (with Z, Chen and Y. Yon), SIAM J. of Scientific Computing, Vol 19, No 2 (1998), pp. 502-515
  84. Two-level Additive Schwarz Preconditioners for $P_1$ Nonconforming Finite Elements for Nonsymmetric and Indefinite Problems , (with Y. J. Yon), Applied Math. Comp., 87 (1997), pp. 1--14.
  85. Convergence estimate for multigrid algorithms with Kaczmarz smoothing , (with Kap. S. Kang), Comp. and Math. with Appl. Vol 34, No 9 (1997), pp. 15--22
  86. Analysis and Convergence of MAC method for Generalized Stokes Problem , (with S. H. Chou), Numer. Method. in P.D.E., v. 13 (1997), pp. 147--162
  87. Preconditioned Gmres Method for nonsymmetric elliptic Problems, Applied Math. Comp., 85 (1997), pp. 201--208.
  88. ADI-method for Nonsymmetric Problem , Linear Algebra and its Applications, 266, (1997), pp. 127--141.
  89. p-cycle analysis of multigrid method, Applied Math. Comp., 76 (1996), pp. 41--48.
  90. The Analysis of Multigrid Method for Nonconforming Method for The Stationary Stokes Equations,(with K. Kang and Y. Yon) Bull. of KMS, 33, No 2 (1996), pp. 343--357.
  91. A reduction factor of multigrid method, J. of KMS. 32(1), (1995), pp. 7--15.
  92. Nonconforming multigrid method for nonsymmmetric and indefinite problems, (with Y. J. Yon) Comput. and Math with Applic.,V30, No 11 (1995), pp. 1--7
  93. A simple proof of Cauchy integral formula, Inter. J. Math. Edu. Sci. Tech., V26. No 1 (1994), pp. 152--155
  94. Uniform convergence of multigrid algorithm for nonsymmetric and/or indefinite problems , (with J. Bramble and J. Pasciak), SIAM J. Numerical Analysis, V. 31, No. 6 (1994), pp. 1746 --1763
  95. Norm and Taylor coefficients estimates of holomorphic functions in the ball, (with J. Burbea) Annales. Polonici. Mathematici, Liv (3)(1991), pp. 271-293
  96. Prime sample scheme for almost sure convergence of Galerkin approx. (with Seung Son) Comput. and Math. with Applic. V. 22(1) (1991), pp. 45-48.
  97. A Generalization of multiplier theorem to the ball, Indian J. of Pure and Applied. Math. V 22(7)(1991), pp. 547--552
  98. An algebraic geometric method to calculate branches near a bifurcatin point, (with U. Jin Choi and Sung H. Bae) Comput. and Math. with Applic. V. 19(10)(1990), pp. 87--90.
  99. Prime number grid scheme to approx. functions with their low dimensional subspaces, (with U. Jin Choi and Seung Son) Applied Math. Computation V. 40 (12)(1990), pp. 233-237.
  100. Almost sure convergence of finite element approx. for a random Sturm-Liouville boundary value problem (with U. Jin Choi), Applied Math. Letters V. 3(2)(1990), pp. 17-19.
  101. Almost sure convergence of Galerkin approx. for a heat equation with random I.C. (with U. Jin Choi), Comput. and Math. with Applic. V. 18(12)(1989), pp. 1057-1063.
  102. Hardy -Littlewood inequalities for the weighted Bergman spaces, Comm. of KMS V. 2, (1987), pp. 33--38.