Journal Publications

  1. Guaranteed a posteriori error estimator for high-order mixed finite elements
    Kwang-Yeon Kim
    submitted.
  2. A posteriori error estimators for stabilized $P1$ nonconforming approximation of the Stokes problem
    Hyun-Chun Lee and Kwang-Yeon Kim
    submitted.
  3. A posteriori error estimators for nonconforming finite element methods of linear elasticity problem
    Kwang-Yeon Kim and Hyun-Chun Lee
    submitted.
  4. Explicit bounds for the two-level preconditioner of the $P1$ discontinuous Galerkin method on rectangular meshes
    Kwang-Yeon Kim
    J. KSIAM 13 (2009), no. 4, 267-280.
  5. Mixed finite volume method on non-staggered grids for the Signorini problem
    J. KSIAM 12 (2008), no. 4, 249-260.
  6. A posteriori error estimators for locally conservative methods of nonlinear elliptic problem
    Kwang Y. Kim
    Appl. Numer. Math. 57 (2007), no. 9, 1065-1080.
  7. A posteriori error analysis for locally conservative mixed methods
    Kwang Y. Kim
    Math. Comp. 76 (2007), no. 257, 43-66.
  8. Analysis of some low-order nonconforming mixed finite elements for linear elasticity problem
    Kwang Y. Kim
    Numer. Methods Partial Differential Equations 22 (2006), no. 3, 638-660.
  9. New mixed finite volume methods for second order elliptic problems
    Kwang Y. Kim
    ESAIM: M2AN 40 (2006), no. 1, 123-147.
  10. Error estimates for a mixed finite volume method for the p-Laplacian problem
    Kwang Y. Kim
    Numer. Math. 101 (2005), no. 1, 121-142.
  11. Mixed finite volume method for nonlinear elliptic problems
    Kwang Y. Kim
    Numer. Methods Partial Differential Equations 21 (2005), no. 4, 791-809.
  12. Mixed finite volume methods on non-staggered quadrilateral grids for elliptic problems
    So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim
    Math. Comp. 72 (2003), no. 242, 525-539.
  13. Flux recovery from primal hybrid finite element methods
    So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim
    SIAM J. Numer. Anal. 40 (2002), no. 2, 403-415.
  14. A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: the overlapping covolume case
    So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim
    SIAM J. Numer. Anal. 39 (2001), no. 4, 1170-1196.
  15. Mixed covolume methods for quasi-linear second-order elliptic problems
    D. Y. Kwak and Kwang Y. Kim
    SIAM J. Numer. Anal. 38 (2000), no. 4, 1057-1072.

Conference Talks

  1. 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.
  2. Efficient a posteriori error estimators for adaptive finite element methods
    Korean Mathematical Society, Keimyung University, April 26, 2008.
  3. Additive Schwarz preconditioner for interior penalty methods
    Workshop on Dynamical Systems and Related Fields, Ajou University, February 18-19, 2008.
  4. A posteriori error estimators for locally conservative methods
    The 3rd East Asia SIAM Conference, Xiamen, China, November 2-5, 2007.
  5. A posteriori error estimators for nonconforming finite element methods of linear elasticity problem
    Korean Mathematical Society, Korea Advanced Institute of Science and Technology, October 20-21, 2007.
  6. 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.
  7. A posteriori error analysis for locally conservative mixed methods
    KSIAM 2004 Annual Meeting and Conference, Gyeongju, South Korea, December 3-4, 2004.