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Research Output 1995 2019

  • 712 Citations
  • 15 h-Index
  • 62 Article
  • 1 Chapter
  • 1 Paper
  • 1 Review article
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Article
2019
3 Citations (Scopus)
A Posteriori Error Analysis
Seminorm
Discontinuous Galerkin Method
Galerkin methods
Diffusion equation
1 Citation (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

mesh
polygons
Galerkin method
error analysis
Galerkin methods
2018
2 Citations (Scopus)

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

Mortar
Nonlinear Elliptic Equations
Mortar Finite Element Method
Approximation
Nonoverlapping Domain Decomposition
2 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

Error Estimator
Discontinuous Galerkin Method
Galerkin methods
Mesh
Grid

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

Two-grid Method
Error analysis
Nonlinear Problem
Mesh
A Priori Error Estimates
3 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

Galerkin method
Galerkin methods
oceans
grids
formulations

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

Interior Methods
Interior Penalty
Penalty Method
Newton-Raphson method
Nonlinear Dynamics
2 Citations (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

splines
Splines
finite element method
oceans
Finite element method
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

Discontinuous Galerkin Method
Stokes Equations
Galerkin methods
Error Estimator
Error Control
3 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

A Posteriori Error Estimates
Discontinuous Galerkin Method
Galerkin methods
Error Estimator
Upper bound

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

Kim, D., Park, E. J. & Seo, B., 2018 Apr 1, In : Applied Mathematics Letters. 78, p. 24-30 7 p.

Research output: Contribution to journalArticle

Incompressible Navier-Stokes
Petrov-Galerkin
A Priori Error Estimates
Optimal Error Estimates
Type Theory

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

Mixed Formulation
Adaptive Method
Parabolic Problems
Space-time
Crank-Nicolson Scheme
2017
3 Citations (Scopus)

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

Least-squares Finite Element Method
Linear Convergence
Adaptive Mesh
A Posteriori Error Estimators
Representation Formula
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

Hyperbolic Systems of Conservation Laws
Lagrange multipliers
Discontinuous Galerkin Method
Galerkin methods
Conservation
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

Poisson equation
Spectral Methods
Elliptic Equations
Difference Method
Condensation
2016
7 Citations (Scopus)

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

Galerkin method
Galerkin methods
oceans
Stabilization
stabilization
5 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

Convection-diffusion
Multigrid Method
Optimization Methods
Optimal Control
Optimal Control Problem
2015
4 Citations (Scopus)

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

Advection-diffusion
Discontinuous Galerkin Method
Advection
Galerkin methods
Penalty
6 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

A Posteriori Error Estimators
Least Square Method
Mesh
First-order
Norm
1 Citation (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

Frictionless Contact
Dynamic Contact
Energy balance
Trajectories
Energy Balance
2014
6 Citations (Scopus)

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

Stokes Problem
Finite Element Method
Finite element method
Stokes Equations
Degrees of freedom (mechanics)

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

Mixed Finite Element Method
Stokes Equations
Incompressibility
Unique Solvability
Post-processing
1 Citation (Scopus)

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

Oseen Equations
Mixed Formulation
Lagrange multipliers
Error Analysis
Convection
12 Citations (Scopus)

Convergence and optimality of adaptive least squares finite element methods

Carstensen, C. & Park, E. J., 2014 Jan 1, In : SIAM Journal on Numerical Analysis. 53, 1, p. 43-62 20 p.

Research output: Contribution to journalArticle

Least-squares Finite Element Method
Optimality
Finite element method
First-order
Adaptive Refinement
1 Citation (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

Domain Decomposition
Preconditioning
Elliptic Problems
Jump
Additive Schwarz Method
7 Citations (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

Semilinear Parabolic Problem
Mixed Methods
Approximation
Semilinear Heat Equation
Nonlinear Algebraic Equations
2013
17 Citations (Scopus)

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

Encapsulation
applications of mathematics
norms
numerical analysis
specifications
10 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

Lid-driven Cavity
Second Order Elliptic Equations
Continuity Equation
Stokes Equations
Elliptic Equations
9 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

Nonlinear Elliptic Equations
Discontinuous Galerkin Method
Galerkin methods
Elliptic Problems
Fluxes
2012
4 Citations (Scopus)

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

Stokes Problem
Mixed Finite Elements
Numerical Experiment
A Posteriori Error Estimators
Convergence Order
2011
23 Citations (Scopus)

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

Stokes Problem
Mixed Finite Elements
Error Analysis
Error analysis
Reliable Control
2010
19 Citations (Scopus)

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

Polynomial approximation
Discontinuous Galerkin Method
Galerkin methods
Elliptic Problems
Boundary element method
3 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

Least-squares Finite Element Method
A Posteriori Error Estimators
First-order
Finite element method
A Posteriori Error Analysis
12 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

Second-order Elliptic Problems
A Posteriori Error Estimators
A Priori Error Estimates
Nonlinear Elliptic Equations
Mixed Finite Element Method
2008
1 Citation (Scopus)

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

Kim, D. & Park, E. J., 2008 Nov 1, In : Discrete and Continuous Dynamical Systems - Series B. 10, 4, p. 873-886 14 p.

Research output: Contribution to journalArticle

Crank-Nicolson Method
Adaptive Method
Parabolic Problems
Crank-Nicolson
A Posteriori Error Estimators
15 Citations (Scopus)
estimators
upstream
convection
norms
boundary layers
10 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

Triangular Mesh
Boundary element method
Elliptic Problems
Boundary Elements
Cell
2007
21 Citations (Scopus)

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

Mortar Finite Element Method
Flow in Porous Media
Mixed Finite Element Method
Compressible Flow
Mortar Finite Elements
18 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

A Posteriori Error Analysis
Error Indicator
Second-order Elliptic Problems
A Posteriori Error Estimators
Mixed Methods
2006
4 Citations (Scopus)

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

Convection-diffusion Equation
Boundary element method
Boundary Elements
Cell
Mesh
4 Citations (Scopus)

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

Kim, D. & Park, E-J., 2006 Jan 1, In : Computers and Mathematics with Applications. 51, 5 SPEC. ISS., p. 793-804 12 p.

Research output: Contribution to journalArticle

Second-order Elliptic Problems
A Posteriori Error Estimators
A Priori Error Estimates
Mixed Finite Elements
Finite Element Approximation
2005
6 Citations (Scopus)

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

Boundary element method
Elliptic Problems
Boundary Elements
Petrov-Galerkin
Cell
15 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

Electrical Impedance Tomography
Acoustic impedance
Magnetic Resonance
Electrical Conductivity
Magnetic resonance
42 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

Flow in Porous Media
Mixed Finite Element Method
Porous materials
Error Estimates
Finite element method
2004
60 Citations (Scopus)

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

Acoustic impedance
Magnetic resonance
Electric Impedance
Tomography
Magnetic Resonance Spectroscopy
2002
15 Citations (Scopus)

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

Boundedness
Age-structured Population
Maximum Norm
Optimal Rate of Convergence
Finite Difference Scheme
2000
7 Citations (Scopus)

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

Nonlinear Parabolic Problems
Nonlinear Algebraic Equations
Mixed Finite Element Method
Decomposition Techniques
Mixed Finite Elements
1999
25 Citations (Scopus)

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

Population statistics
SIS Model
Approximation theory
Age Structure
Theorem proving
17 Citations (Scopus)

Fully discrete mixed finite element approximations for non-Darcy flows in porous media

Kim, M. Y. & Park, E-J., 1999 Jan 1, In : Computers and Mathematics with Applications. 38, 11, p. 113-129 17 p.

Research output: Contribution to journalArticle

Flow in Porous Media
Mixed Finite Elements
Finite Element Approximation
Porous materials
Finite element method
1998
9 Citations (Scopus)

Characteristic finite element methods for diffusion epidemic models with age-structured populations

Kim, M. Y. & Park, E-J., 1998 Jan 1, In : Applied Mathematics and Computation. 97, 1, p. 55-70 16 p.

Research output: Contribution to journalArticle

Age-structured Population
Characteristics Method
Epidemiology
Population dynamics
Epidemic Model