Hyea Hyun Kim

Orcid: 0000-0001-7978-5602

According to our database1, Hyea Hyun Kim authored at least 37 papers between 2005 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem.
J. Comput. Appl. Math., April, 2024

Iterative algorithms for partitioned neural network approximation to partial differential equations.
Comput. Math. Appl., 2024

A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes.
Comput. Math. Appl., 2024

2023
Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions.
CoRR, 2023

Enhanced physics-informed neural networks with domain scaling and residual correction methods for multi-frequency elliptic problems.
CoRR, 2023

2022
A data-driven approach for a macroscopic conductivity model utilizing finite element approximation.
J. Comput. Phys., 2022

Additive Schwarz algorithms for neural network approximate solutions.
CoRR, 2022

2021
Efficient mesh generation utilizing an adaptive body centered cubic mesh.
J. Comput. Phys., 2021

Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients.
CoRR, 2021

A staggered discontinuous Galerkin method for elliptic problems on rectangular grids.
Comput. Math. Appl., 2021

2020
A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions.
J. Comput. Appl. Math., 2020

An adaptive BDDC method enhanced with prior selected primal constraints.
Comput. Math. Appl., 2020

2018
A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations.
J. Sci. Comput., 2018

A Mass Conservative Scheme for Fluid-Structure Interaction Problems by the Staggered Discontinuous Galerkin Method.
J. Sci. Comput., 2018

2017
Approximation of macroscopic conductivity for a multiscale model by using mortar methods.
J. Comput. Phys., 2017

BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients.
J. Comput. Phys., 2017

A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients.
J. Comput. Appl. Math., 2017

2016
Analysis of a Staggered Discontinuous Galerkin Method for Linear Elasticity.
J. Sci. Comput., 2016

Mortar formulation for a class of staggered discontinuous Galerkin methods.
Comput. Math. Appl., 2016

2015
A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients.
Multiscale Model. Simul., 2015

Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2015

2014
FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem.
Comput. Math. Appl., 2014

A BDDC algorithm for a class of staggered discontinuous Galerkin methods.
Comput. Math. Appl., 2014

2013
A Staggered Discontinuous Galerkin Method for the Stokes System.
SIAM J. Numer. Anal., 2013

Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method.
SIAM J. Numer. Anal., 2013

2012
An Iterative Method for Problems with Multiscale Conductivity.
Comput. Math. Methods Medicine, 2012

2010
A FETI--DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns.
SIAM J. Sci. Comput., 2010

A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components.
SIAM J. Numer. Anal., 2010

On the selection of primal unknowns for a FETI-DP formulation of the Stokes problem in two dimensions.
Comput. Math. Appl., 2010

2009
A Three-Level BDDC Algorithm for Mortar Discretizations.
SIAM J. Numer. Anal., 2009

2008
A BDDC Method for Mortar Discretizations Using a Transformation of Basis.
SIAM J. Numer. Anal., 2008

A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization.
SIAM J. Numer. Anal., 2008

A BDDC Algorithm for Mortar Discretization of Elasticity Problems.
SIAM J. Numer. Anal., 2008

2006
A Neumann-Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods.
SIAM J. Sci. Comput., 2006

Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements.
SIAM J. Numer. Anal., 2006

Preconditioners for the dual-primal FETI methods on nonmatching grids: Numerical study.
Comput. Math. Appl., 2006

2005
A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions.
SIAM J. Numer. Anal., 2005


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