Journal Publications

  1. Kwang-Yeon Kim, A posteriori error estimator for Nedelec edge element methods of two-dimensional time-harmonic Maxwell's equation, Bull. Korean Math. Soc. 62 (2025), no. 5, 1471-1496
  2. Kwang-Yeon Kim, Mixed finite volume method for two-dimensional Maxwell's equations, J. Korean Math. Soc. 62 (2025), no. 1, 77-96.
  3. Kwang-Yeon Kim, Superconvergence and postprocessing of equilibrated fluxes for quadratic finite elements, J. KSIAM 27 (2023), no. 4, 245-271.
  4. Kwang-Yeon Kim, Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart–Thomas mixed finite element method, Appl. Numer. Math. 165 (2021), 357-375.
  5. Kwang-Yeon Kim, Enhancing eigenvalue approximation with Bank-Weiser error estimators, Korean J. Math. 28 (2020), no. 3, 587-601.
  6. Kwang-Yeon Kim and Ju-Seong Park, Asymptotic exactness of some Bank-Weiser error estimator for quadratic triangular finite element, Bull. Korean Math. Soc. 57 (2020), no. 2, 393-406.
  7. Kwang-Yeon Kim, Postprocessing for the Raviart-Thomas mixed finite element approximation of the eigenvalue problem, Korean J. Math. 26 (2018), no. 3, 467-481 .
  8. Kwang-Yeon Kim, A posteriori error estimators for the stabilized low-order finite element discretization of the Stokes equations based on local problems, J. KSIAM 21 (2017), no. 4, 203-214.
  9. Kwang-Yeon Kim, Robust a posteriori error estimator for lowest-order finite element methods of interface problems, J. KSIAM 20 (2016), no. 2, 137-150.
  10. Kwang-Yeon Kim, Postprocessing for guaranteed error bound based on equilibrated fluxes, J. Korean Math. Soc. 52 (2015), no. 5, 891-906.
  11. Kwang-Yeon Kim, Hierarchical error estimators for lowest-order mixed finite element methods, Korean J. Math. 22 (2014), no. 3, 429-441.
  12. Kwang-Yeon Kim, Fully computable a posteriori error estimates for the Stokes equation without the global inf-sup constant, Comput. Math. Appl. 67 (2014), no. 3, 681-691.
  13. Kwang-Yeon Kim, On the asymptotic exactness of an error estimator for the lowest-order Raviart-Thomas mixed finite element, Korean J. Math. 21 (2013), no. 3, 293-304.
  14. Kwang-Yeon Kim, Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation, Appl. Numer. Math. 62 (2012), no. 12, 1701-1717.
  15. Kwang-Yeon Kim, Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems, Appl. Math. Comp. 218 (2012), no. 24, 11820-11831.
  16. Kwang-Yeon Kim, A posteriori error estimator for linear elasticity based on nonsymmetric stress tensor approximation, J. KSIAM 16 (2012), no. 1, 1-13.
  17. Kwang-Yeon Kim, Guaranteed a posteriori error estimator for mixed finite element methods of linear elasticity with weak stress symmetry, SIAM J. Numer. Anal. 49 (2011), no. 6, 2364-2385.
  18. Hyun-Chun Lee and Kwang-Yeon Kim, A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem, Comput. Methods Appl. Mech. Engrg. 199 (2010), no. 45-48, 2903-2912.
  19. Kwang-Yeon Kim and Hyun-Chun Lee, A posteriori error estimators for nonconforming finite element methods of linear elasticity problem, J. Comput. Appl. Math. 235 (2010), no. 1, 186-202.
  20. Kwang-Yeon Kim, Explicit bounds for the two-level preconditioner of the P1 discontinuous Galerkin method on rectangular meshes, J. KSIAM 13 (2009), no. 4, 267-280.
  21. Kwang-Yeon Kim, Mixed finite volume method on non-staggered grids for the Signorini problem, J. KSIAM 12 (2008), no. 4, 249-260.
  22. Kwang Y. Kim, A posteriori error estimators for locally conservative methods of nonlinear elliptic problem, Appl. Numer. Math. 57 (2007), no. 9, 1065-1080.
  23. Kwang Y. Kim, A posteriori error analysis for locally conservative mixed methods, Math. Comp. 76 (2007), no. 257, 43-66.
  24. Kwang Y. Kim, Analysis of some low-order nonconforming mixed finite elements for linear elasticity problem, Numer. Methods Partial Differential Equations 22 (2006), no. 3, 638-660.
  25. Kwang Y. Kim, New mixed finite volume methods for second order elliptic problems, ESAIM: M2AN 40 (2006), no. 1, 123-147.
  26. Kwang Y. Kim, Error estimates for a mixed finite volume method for the p-Laplacian problem Numer. Math. 101 (2005), no. 1, 121-142.
  27. Kwang Y. Kim, Mixed finite volume method for nonlinear elliptic problems, Numer. Methods Partial Differential Equations 21 (2005), no. 4, 791-809.
  28. So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim, Mixed finite volume methods on non-staggered quadrilateral grids for elliptic problems, Math. Comp. 72 (2003), no. 242, 525-539.
  29. So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim, Flux recovery from primal hybrid finite element methods, SIAM J. Numer. Anal. 40 (2002), no. 2, 403-415.
  30. So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim, A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: the overlapping covolume case, SIAM J. Numer. Anal. 39 (2001), no. 4, 1170-1196.
  31. D. Y. Kwak and Kwang Y. Kim, Mixed covolume methods for quasi-linear second-order elliptic problems, SIAM J. Numer. Anal. 38 (2000), no. 4, 1057-1072.

Conference Talks

  1. Superconvergence and a posteriori error estimators for Raviart-Thomas mixed finite element methods
    Workshop on Recent Advances in Finite Element Methods 2017, City University of Hong Kong, March 13-15, 2017.
  2. Superconvergence of mixed finite element methods on triangular meshes
    International Conference for the 70th Anniversary of Korean Mathematical Society, Seoul National University, October 20-23, 2016.
  3. Recovery-based error estimator for lowest-order finite element methods
    2015 KMS Annual Meeting, Yonsei University, Seoul, October 23-25, 2015.
  4. Postprocessing for P1 conforming finite element method
    KSIAM 2015 Spring Conference, Sungkyunkwan University, Suwon, May 29-30, 2015.
  5. Superconvergence, postprocessing and a posteriori error estimation
    KSIAM 2014 Annual Meeting, Seogwipo, November 21-22, 2014.
  6. Asymptotic exactness of a posteriori error estimators for the lowest-order Raviart-Thomas mixed finite element method
    International Workshop on Computational Mathematics - Advances in Computational PDEs
    (ICM 2014 Satellite Conference & 2014 NIMS Hot Topics Workshop), Yonsei University, August 9-12, 2014.
  7. Residual-based a posteriori error estimators for the Stokes equation
    KSIAM 2013 Annual Meeting, Seogwipo, November 22-23, 2013.
  8. On the asymptotic exactness of an error estimator for a mixed finite element method
    The Asian Mathematical Conference 2013, Busan BEXCO, July 1-4, 2013.
  9. Improved a posteriori error estimates for the Stokes equation
    International Workshop on Computational Mathematics: Advances in Computational PDEs, Yonsei University, March 27-28, 2013.
  10. Flux reconstruction for low-order nonconforming finite element methods
    4th China-Japan-Korea Conference on Numerical Mathematics, Otsu City, Japan, August 25-28, 2012.
  11. A posteriori error estimator for mixed finite element methods of linear elasticity
    International Conference on Computational Mathematics: Advances in Computational PDEs, Yonsei University, July 11-13, 2012.
  12. A posteriori error estimator for the P2 nonconforming finite element method
    International Conference on Boundary And Interior Layers (BAIL) 2012, POSTECH, February 6-10, 2012.
  13. Fully computable upper bounds for finite element approximation of linear elasticity
    KSIAM 2011 Annual Meeting, Seogwipo, November 25-27, 2011.
  14. Guaranteed a posteriori error estimator for mixed finite element methods
    1st Joint Meeting of the CMS and the KMS, Southwest University (Chonqing), China, May 18-22, 2010.
  15. A posteriori error estimator for quadrilateral nonconforming finite element method of linear elasticity
    6th International Conference on Scientific Computing and Applications, Pusan National University, June 2-5, 2008.
  16. Efficient a posteriori error estimators for adaptive finite element methods
    Korean Mathematical Society, Keimyung University, April 26, 2008.
  17. Additive Schwarz preconditioner for interior penalty methods
    Workshop on Dynamical Systems and Related Fields, Ajou University, February 18-19, 2008.
  18. A posteriori error estimators for locally conservative methods
    The 3rd East Asia SIAM Conference, Xiamen University, China, November 2-5, 2007.
  19. A posteriori error estimators for nonconforming finite element methods of linear elasticity problem
    Korean Mathematical Society, KAIST, October 20-21, 2007.
  20. A posteriori error estimators for P1 nonconforming approximation of quasi-Newtonian Stokes flows
    KSIAM 2005 Conference in Spring, Seoul National University, May 20-21, 2005.
  21. A posteriori error analysis for locally conservative mixed methods
    KSIAM 2004 Annual Meeting and Conference, Gyeongju, South Korea, December 3-4, 2004.