28 citations · 33 across the 7 of their papers we have counts for
7 papers
On the linear convergence of additive Schwarz methods for the -Laplacian
Young-Ju Lee, Jongho Park
We consider additive Schwarz methods for boundary value problems involving the -Laplacian. While existing theoretical estimates suggest a sublinear convergence rate for these me…
Existence and Stability of Global Solutions to a regularized Oldroyd-B Model in its Vorticity Formulation
Jaroslaw S. Jaracz, Young Ju Lee
We present a new regularized Oldroyd-B model in three dimensions which satisfies an energy estimate analogous to that of the standard model, and maintains the positive semi-definit…
Helicity-conservative finite element discretization for incompressible MHD systems
Kaibo Hu, Young-Ju Lee, Jinchao Xu
We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve magnetic and cross helicity, the energy law and the magnetic Ga…
Self-sustaining oscillations of a falling sphere through Johnson-Segalman fluids
Young-Ju Lee, Chen-Song Zhang
We confirm numerically that the Johnson-Segalman model is able to reproduce the continual oscillations of the falling sphere observed in some viscoelastic models. The empirical cho…
On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems
Xiaozhe Hu, Young-Ju Lee, Jinchao Xu +1
In this paper, we consider the adaptive Eulerian--Lagrangian method (ELM) for linear convection-diffusion problems. Unlike the classical a posteriori error estimations, we estimate…
Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations
Young Ju Lee, Hengguang Li
We study the regularity and finite element approximation of the axisymmetric Stokes problem on a polygonal domain . In particular, taking into account the singular coefficients…
A Scalable Auxiliary Space Preconditioner for High-Order Finite Element Methods
Young-Ju Lee, Wei Leng, Chen-Song Zhang
In this paper, we revisit an auxiliary space preconditioning method proposed by Xu [Computing 56, 1996], in which low-order finite element spaces are employed as auxiliary spaces f…