A Multigrid Method for Viscoelastic Fluid Flow. - Hyesuk Lee (SIAM J. Numer. Anal., 2004)

Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions. - Vincent J. Ervin; Hyesuk Lee (SIAM J. Numer. Anal., 2007)

A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow. - Vincent J. Ervin; Jason S. Howell; Hyesuk Lee (Appl. Math. Comput., 2008)

A domain decomposition method for the Oseen-viscoelastic flow equations. - Eleanor W. Jenkins; Hyesuk Lee (Appl. Math. Comput., 2008)

A Two-Level Discretization Method for the Smagorinsky Model. - Jeff Borggaard; Traian Iliescu; Hyesuk Lee; John Paul Roop; Hyunjin Son (Multiscale Model. Simul., 2008)

Optimal control of non-isothermal viscous fluid flow. - Christopher L. Cox; Hyesuk Lee; David C. Szurley (Math. Comput. Model., 2009)

Analysis and approximation of the Cross model for quasi-Newtonian flows with defective boundary conditions. - Keith Galvin; Hyesuk Lee (Appl. Math. Comput., 2013)

Least squares approach for the time-dependent nonlinear Stokes-Darcy flow. - Hyesuk Lee; Kelsey Rife (Comput. Math. Appl., 2014)

Approximation of the Stokes-Darcy System by Optimization. - V. J. Ervin; Eleanor W. Jenkins; Hyesuk Lee (J. Sci. Comput., 2014)

Finite element error estimation for quasi-Newtonian fluid-structure interaction problems. - Hyesuk Lee; Shuhan Xu (Appl. Math. Comput., 2016)

Fully discrete error estimation for a quasi-Newtonian fluid-structure interaction problem. - Hyesuk Lee; Shuhan Xu (Comput. Math. Appl., 2016)

Nonlinear Darcy fluid flow with deposition. - V. J. Ervin; Hyesuk Lee; Javier Ruiz-Ramírez (J. Comput. Appl. Math., 2017)

A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model. - Tsu-Fen Chen; Hyesuk Lee; Chia-Chen Liu (Comput. Methods Appl. Math., 2018)

Numerical Simulations of Viscoelastic Fluid Flows Past a Transverse Slot Using Least-Squares Finite Element Methods. - Hsueh-Chen Lee; Hyesuk Lee (J. Sci. Comput., 2019)

An adaptive least-squares finite element method for Giesekus viscoelastic flow problems. - Hsueh-Chen Lee; Hyesuk Lee (Int. J. Comput. Math., 2021)

A Global-in-time Domain Decomposition Method for the Coupled Nonlinear Stokes and Darcy Flows. - Thi-Thao-Phuong Hoang; Hyesuk Lee (J. Sci. Comput., 2021)

Nonconforming time discretization based on Robin transmission conditions for the Stokes-Darcy system. - Thi-Thao-Phuong Hoang; Hemanta Kunwar; Hyesuk Lee (Appl. Math. Comput., 2022)

Formulation and analysis of a Schur complement method for fluid-structure interaction. - Amy de Castro; Hyesuk Lee; Margaret M. Wiecek (CoRR, 2023)

Decoupling methods for fluid-structure interaction with local time-stepping. - Hemanta Kunwar; Hyesuk Lee (CoRR, 2024)

Stabilized equal lower-order finite element methods for simulating Brinkman equations in porous media. - Hsueh-Chen Lee; Hyesuk Lee (Int. J. Comput. Math., 2024)

Reduced order modeling for a Schur complement method for fluid-structure interaction. - Amy de Castro; Hyesuk Lee; Margaret M. Wiecek (J. Comput. Phys., 2024)

A Lagrange multiplier method for fluid-structure interaction: Well-posedness and domain decomposition. - Amy de Castro; Hyesuk Lee; Margaret M. Wiecek (Comput. Math. Appl., 2025)

Domain decomposition with local time discretization for the nonlinear Stokes-Biot system. - Hemanta Kunwar; Hyesuk Lee (J. Comput. Appl. Math., 2025)