• 758 Citations
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19952020

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Article
2020

A New Hybrid Staggered Discontinuous Galerkin Method on General Meshes

Zhao, L. & Park, E. J., 2020 Jan 1, In : Journal of Scientific Computing. 82, 1, 12.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Multiscale mortar expanded mixed discretization of nonlinear elliptic problems

Arshad, M. & Park, E. J., 2020 Apr 15, In : Applied Mathematics and Computation. 371, 124932.

Research output: Contribution to journalArticle

2019
5 Citations (Scopus)

A staggered DG method of minimal dimension for the Stokes equations on general meshes

Zhao, L., Park, E. J. & Shin, D. W., 2019 Mar 1, In : Computer Methods in Applied Mechanics and Engineering. 345, p. 854-875 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2018

Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations

Arshad, M., Park, E. J. & Shin, D. W., 2018 Jan 15, In : Computers and Mathematics with Applications. 75, 2, p. 401-418 18 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

A staggered discontinuous Galerkin method of minimal dimension on quadrilateral and polygonal meshes

Zhao, L. & Park, E. J., 2018 Jan 1, In : SIAM Journal on Scientific Computing. 40, 4, p. A2543-A2567

Research output: Contribution to journalArticle

3 Citations (Scopus)

A unified framework for two-grid methods for a class of nonlinear problems

Kim, D., Park, E. J. & Seo, B., 2018 Dec 1, In : Calcolo. 55, 4, 45.

Research output: Contribution to journalArticle

2 Citations (Scopus)

C0-discontinuous Galerkin methods for a wind-driven ocean circulation model: Two-grid algorithm

Shin, D. W., Kang, Y. & Park, E. J., 2018 Jan 1, In : Computer Methods in Applied Mechanics and Engineering. 328, p. 321-339 19 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

C0 interior penalty methods for a dynamic nonlinear beam model

Ahn, J., Lee, S. & Park, E. J., 2018 Dec 15, In : Applied Mathematics and Computation. 339, p. 685-700 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean

Kim, D., Kim, T. Y., Park, E. J. & Shin, D. W., 2018 Jun 15, In : Computer Methods in Applied Mechanics and Engineering. 335, p. 255-272 18 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations

Zhao, L. & Park, E. J., 2018 Jun 1, In : Computers and Mathematics with Applications. 75, 11, p. 4115-4134 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method

Chung, E. T., Park, E. J. & Zhao, L., 2018 May 1, In : Journal of Scientific Computing. 75, 2, p. 1079-1101 23 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Optimal error estimates for the pseudostress formulation of the Navier–Stokes equations

Kim, D., Park, E. J. & Seo, B., 2018 Apr, In : Applied Mathematics Letters. 78, p. 24-30 7 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Space-Time Adaptive Methods for the Mixed Formulation of a Linear Parabolic Problem

Kim, D., Park, E. J. & Seo, B., 2018 Mar 1, In : Journal of Scientific Computing. 74, 3, p. 1725-1756 32 p.

Research output: Contribution to journalArticle

2017

Convergence of natural adaptive least squares finite element methods

Carstensen, C., Park, E. J. & Bringmann, P., 2017 Aug 1, In : Numerische Mathematik. 136, 4, p. 1097-1115 19 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws

Kim, M. Y., Park, E. J. & Shin, J., 2017 May 1, In : Computers and Mathematics with Applications. 73, 9, p. 1945-1974 30 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Hybrid Spectral Difference Methods for an Elliptic Equation

Jeon, Y., Park, E. J. & Shin, D. W., 2017 Apr 1, In : Computational Methods in Applied Mathematics. 17, 2, p. 253-267 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2016

A C0-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean

Kim, T. Y., Park, E. J. & Shin, D. W., 2016 Mar 1, In : Computer Methods in Applied Mechanics and Engineering. 300, p. 225-244 20 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Multigrid Optimization Methods for the Optimal Control of Convection–Diffusion Problems with Bilinear Control

Borzì, A., Park, E. J. & Lass, M. V., 2016 Feb 1, In : Journal of Optimization Theory and Applications. 168, 2, p. 510-533 24 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2015

A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems

Shin, D. W., Jeon, Y. & Park, E. J., 2015 May 26, In : Applied Numerical Mathematics. 95, p. 292-303 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L 2 norm

Cai, Z., Carey, V., Ku, J. & Park, E. J., 2015 Aug 1, In : Computers and Mathematics with Applications. 70, 4, p. 648-659 12 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Convergence and optimality of adaptive least squares finite element methods

Carstensen, C. & Park, E. J., 2015 Jan 1, In : SIAM Journal on Numerical Analysis. 53, 1, p. 43-62 20 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Dynamic frictionless contact of a nonlinear beam with two stops

Ahn, J. & Park, E. J., 2015 Jul 3, In : Applicable Analysis. 94, 7, p. 1355-1379 25 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2014

A hybridized finite element method for the Stokes problem

Jeon, Y., Park, E. J. & Sheen, D., 2014 Dec 1, In : Computers and Mathematics with Applications. 68, 12, p. 2222-2232 11 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

A nonconforming primal mixed finite element method for the stokes equations

Cho, S. & Park, E. J., 2014 Jan 1, In : Bulletin of the Korean Mathematical Society. 51, 6, p. 1655-1668 14 p.

Research output: Contribution to journalArticle

An upstream pseudostress-velocity mixed formulation for the Oseen equations

Park, E. J. & Seo, B., 2014 Jan 30, In : Bulletin of the Korean Mathematical Society. 51, 1, p. 267-285 19 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Domain decomposition preconditioning for elliptic problems with jumps in coefficients

Cho, S., Nepomnyaschikh, S. V. & Park, E. J., 2014 Dec 1, In : Computers and Mathematics with Applications. 68, 12, p. 2292-2313 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Two-scale product approximation for semilinear parabolic problems in mixed methods

Kim, D., Park, E. J. & Seo, B., 2014 Mar 10, In : Journal of the Korean Mathematical Society. 51, 2, p. 267-288 22 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2013

A flexible numerical approach for quantification of epistemic uncertainty

Chen, X., Park, E. J. & Xiu, D., 2013 May 1, In : Journal of Computational Physics. 240, p. 211-224 14 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

New locally conservative finite element methods on a rectangular mesh

Jeon, Y. & Park, E-J., 2013 Jan 1, In : Numerische Mathematik. 123, 1, p. 97-119 23 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Superconvergent discontinuous galerkin methods for nonlinear elliptic equations

Yadav, S., Pani, A. K. & Park, E. J., 2013 May 30, In : Mathematics of Computation. 82, 283, p. 1297-1335 39 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2012

Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

Carstensen, C., Gedicke, J. & Park, E. J., 2012 Sep 24, In : SIAM Journal on Scientific Computing. 34, 4, p. A2267-A2287

Research output: Contribution to journalArticle

4 Citations (Scopus)
2011

A priori and a posteriori pseudostress-velocity mixed finite element error analysis for the stokes problem

Carstensen, C., Kim, D. & Park, E. J., 2011 Dec 1, In : SIAM Journal on Numerical Analysis. 49, 6, p. 2501-2523 23 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)
2010

A hybrid discontinuous galerkin method for elliptic problems

Jeon, Y. & Park, E-J., 2010 Dec 15, In : SIAM Journal on Numerical Analysis. 48, 5, p. 1968-1983 16 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)

A posteriori error estimators for the first-order least-squares finite element method

Ku, J. & Park, E. J., 2010 Nov 1, In : Journal of Computational and Applied Mathematics. 235, 1, p. 293-300 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

A priori and a posteriori analysis of mixed finite element methods for nonlinear elliptic equations

Kim, D. & Park, E-J., 2010 Sep 1, In : SIAM Journal on Numerical Analysis. 48, 3, p. 1186-1207 22 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
2008

Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems

Kim, D. & Park, E. J., 2008 Nov, In : Discrete and Continuous Dynamical Systems - Series B. 10, 4, p. 873-886 14 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)
17 Citations (Scopus)

Nonconforming cell boundary element methods for elliptic problems on triangular mesh

Jeon, Y. & Park, E-J., 2008 Jun 1, In : Applied Numerical Mathematics. 58, 6, p. 800-814 15 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2007

A multiscale mortar mixed finite element method for slightly compressible flows in porous media

Kim, M. Y., Park, E. J., Thomas, S. G. & Wheeler, M. F., 2007 Sep, In : Journal of the Korean Mathematical Society. 44, 5, p. 1103-1119 17 p.

Research output: Contribution to journalArticle

22 Citations (Scopus)

A posteriori error estimator for expanded mixed hybrid methods

Kim, D. & Park, E-J., 2007 Mar 1, In : Numerical Methods for Partial Differential Equations. 23, 2, p. 330-349 20 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)
2006

Cell boundary element methods for convection-diffusion equations

Jeon, Y. & Park, E. J., 2006 Jun 1, In : Communications on Pure and Applied Analysis. 5, 2, p. 309-319 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Kim, D. & Park, E. J., 2006 Mar, In : Computers and Mathematics with Applications. 51, 5 SPEC. ISS., p. 793-804 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2005

A cell boundary element method for elliptic problems

Jeon, F., Park, E-J. & Sheen, D., 2005 May 1, In : Numerical Methods for Partial Differential Equations. 21, 3, p. 496-511 16 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Electrical conductivity imaging using a variational method in B z-based MREIT

Kwon, O., Park, C., Park, E. J., Seo, J. K. & Woo, E. J., 2005 Jun 1, In : Inverse Problems. 21, 3, p. 969-980 12 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Mixed finite element methods for generalized forchheimer flow in porous media

Park, E-J., 2005 Mar 1, In : Numerical Methods for Partial Differential Equations. 21, 2, p. 213-228 16 p.

Research output: Contribution to journalArticle

47 Citations (Scopus)
2004

Static conductivity imaging using variational gradient Bz algorithm in magnetic resonance electrical impedance tomography

Park, C., Park, E. J., Wool, E. J., Kwon, O. & Seo, J. K., 2004 Feb 1, In : Physiological measurement. 25, 1, p. 257-269 13 p.

Research output: Contribution to journalArticle

60 Citations (Scopus)
2002

Global boundedness of the solutions to a Gurtin-MacCamy system

Iannelli, M., Kim, M. Y., Park, E. J. & Pugliese, A., 2002 Dec 1, In : Nonlinear Differential Equations and Applications. 9, 2, p. 197-216 20 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)
2000

Mixed finite element domain decomposition for nonlinear parabolic problems

Kim, M. Y., Park, E. J. & Park, J., 2000 Jan 1, In : Computers and Mathematics with Applications. 40, 8, p. 1061-1070 10 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
1999

Asymptotic behavior for an SIS epidemic model and its approximation

Iannelli, M., Kim, M. Y. & Park, E. J., 1999 Mar 31, In : Nonlinear Analysis, Theory, Methods and Applications. 35, 7, p. 797-814 18 p.

Research output: Contribution to journalArticle

26 Citations (Scopus)