A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions. - Hyea Hyun Kim; Chang-Ock Lee (SIAM J. Numer. Anal., 2005)

Preconditioners for the dual-primal FETI methods on nonmatching grids: Numerical study. - Yeon-Woo Chang; Hyea Hyun Kim; Chang-Ock Lee (Comput. Math. Appl., 2006)

Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements. - Hyea Hyun Kim; Olof B. Widlund (SIAM J. Numer. Anal., 2006)

A Neumann-Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods. - Hyea Hyun Kim; Chang-Ock Lee (SIAM J. Sci. Comput., 2006)

A BDDC Algorithm for Mortar Discretization of Elasticity Problems. - Hyea Hyun Kim (SIAM J. Numer. Anal., 2008)

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

A BDDC Method for Mortar Discretizations Using a Transformation of Basis. - Hyea Hyun Kim; Maksymilian Dryja; Olof B. Widlund (SIAM J. Numer. Anal., 2008)

A Three-Level BDDC Algorithm for Mortar Discretizations. - Hyea Hyun Kim; Xuemin Tu (SIAM J. Numer. Anal., 2009)

On the selection of primal unknowns for a FETI-DP formulation of the Stokes problem in two dimensions. - Hyea Hyun Kim; Chang-Ock Lee; Eun-Hee Park 003 (Comput. Math. Appl., 2010)

A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components. - Hyea Hyun Kim; Chang-Ock Lee; Eun-Hee Park 003 (SIAM J. Numer. Anal., 2010)

A FETI–DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns. - Hyea Hyun Kim; Chang-Ock Lee (SIAM J. Sci. Comput., 2010)

An Iterative Method for Problems with Multiscale Conductivity. - Hyea Hyun Kim; Atul S. Minhas; Eung Je Woo (Comput. Math. Methods Medicine, 2012)

Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method. - Eric T. Chung 001; Hyea Hyun Kim; Olof B. Widlund (SIAM J. Numer. Anal., 2013)

A Staggered Discontinuous Galerkin Method for the Stokes System. - Hyea Hyun Kim; Eric T. Chung 001; Chak Shing Lee (SIAM J. Numer. Anal., 2013)

A BDDC algorithm for a class of staggered discontinuous Galerkin methods. - Hyea Hyun Kim; Eric T. Chung 001; Chak Shing Lee (Comput. Math. Appl., 2014)

FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem. - Hyea Hyun Kim; Eric T. Chung 001; Chak Shing Lee (Comput. Math. Appl., 2014)

Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations. - Siu Wun Cheung; Eric T. Chung 001; Hyea Hyun Kim; Yue Qian (J. Comput. Phys., 2015)

A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients. - Hyea Hyun Kim; Eric T. Chung 001 (Multiscale Model. Simul., 2015)

Mortar formulation for a class of staggered discontinuous Galerkin methods. - Hyea Hyun Kim; Eric T. Chung 001; Chi Yeung Lam (Comput. Math. Appl., 2016)

Analysis of a Staggered Discontinuous Galerkin Method for Linear Elasticity. - Jeonghun J. Lee; Hyea Hyun Kim (J. Sci. Comput., 2016)

A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients. - Hyea Hyun Kim; Eric T. Chung 001; Chenxiao Xu (J. Comput. Appl. Math., 2017)

BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients. - Hyea Hyun Kim; Eric T. Chung 001; Junxian Wang (J. Comput. Phys., 2017)

Approximation of macroscopic conductivity for a multiscale model by using mortar methods. - Hyea Hyun Kim; Ji Eun Kim (J. Comput. Phys., 2017)

A Mass Conservative Scheme for Fluid-Structure Interaction Problems by the Staggered Discontinuous Galerkin Method. - Siu Wun Cheung; Eric T. Chung 001; Hyea Hyun Kim (J. Sci. Comput., 2018)

A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations. - Hee Jun Yang; Hyea Hyun Kim (J. Sci. Comput., 2018)

An adaptive BDDC method enhanced with prior selected primal constraints. - Hyea Hyun Kim; Junxian Wang (Comput. Math. Appl., 2020)

A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions. - Junxian Wang; Eric T. Chung 001; Hyea Hyun Kim (J. Comput. Appl. Math., 2020)

A staggered discontinuous Galerkin method for elliptic problems on rectangular grids. - Hyea Hyun Kim; Chang-Yeol Jung; Thien Binh Nguyen (Comput. Math. Appl., 2021)

Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients. - Eric T. Chung 001; Hyea Hyun Kim; Ming Fai Lam; Lina Zhao 001 (CoRR, 2021)

Efficient mesh generation utilizing an adaptive body centered cubic mesh. - Hee Jun Yang; Kiwan Jeon; Hyea Hyun Kim (J. Comput. Phys., 2021)

Additive Schwarz algorithms for neural network approximate solutions. - Hee Jun Yang; Hyea Hyun Kim (CoRR, 2022)

A data-driven approach for a macroscopic conductivity model utilizing finite element approximation. - Young Jae Jeon; Hee Jun Yang; Hyea Hyun Kim (J. Comput. Phys., 2022)

Enhanced physics-informed neural networks with domain scaling and residual correction methods for multi-frequency elliptic problems. - Deok-Kyu Jang; Hyea Hyun Kim; Kyungsoo Kim 002 (CoRR, 2023)

Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions. - Deok-Kyu Jang; Kyungsoo Kim 002; Hyea Hyun Kim (CoRR, 2023)

A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes. - Hyea Hyun Kim; Gung-Min Gie; Chang-Yeol Jung; Thien Binh Nguyen (Comput. Math. Appl., 2024)

Iterative algorithms for partitioned neural network approximation to partial differential equations. - Hee Jun Yang; Hyea Hyun Kim (Comput. Math. Appl., 2024)

Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem. - Eun-Hee Park 003; Hyea Hyun Kim (J. Comput. Appl. Math., 2024)

Numerical study on hyper parameter settings for neural network approximation to partial differential equations. - Hee Jun Yang; Alexander Heinlein; Hyea Hyun Kim (CoRR, 2025)