Homepage of
JaEun Ku
Research Interests
- Numerical Analysis
- Finite Element methods for
Partial differential equations
- Least-Squares Methods for
Linear Elasticity problems and Navier-Stokes
equations
- A posteriori error estimates
Contact information
- Address: Dept. of Mathematics,
Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078
·
E-mail :
jku@math.okstate.edu
·
Office: Room 437,
Mathematical Sciences
Education
- Ph.D. in
Mathematics (August 2004), Cornell University
Thesis
advisor: Professor Lars Wahlbin
ETNA (Electronic
Transactions on Numerical Analysis)
Journal of Korean Mathematical
Society
Special Issue on recent
advances in numerical methods for system of PDEs
Publication
- Localized pointwise
error estimates for direct flux approximation, IMA J. Numer.
Anal. (to appear)
- Local
error estimates for least-squares finite element methods for first-order
system, J. Comput. Appl. Math. 299 (2016),
92-100.
- (with Z. Cai,
V. Carey and E. Park), Asymptotically
exact a posteriori error estimators for first-order div least-squares in
local and global L2 norm, Comput. Math.
Appl. 70 (2015), no. 4, 648-659.
- Numerical
Solutions of nonlinear elliptic problems based on first-order system, Comput. Math. Appl. 69 (2015), no.
7, 601-609.
- Supercloseness of the mixed finite element method for
the primary function on unstructered meshes and
its applications, BIT Numerical Mathematics, BIT Numerical Mathematics, 54
(2014),
1087-1097.
- Least-squares
solutions as solutions of a perturbation form of the Galerkin
methods: Interior Pointwise error estimates and
pollution effect, J. Comput. Appl.
Math, 251 (2013), 67-80.
- A comment on Least-Squares
Finite Element Methods with minimum regularity assumptions, Int. J. Numer.
Anal. Model, 10 (2013), 899-903.
- (with A. Schatz), Local a posteriori
estimates on a nonconvex polygonal domain,
SIAM J. Numer. Anal., 50, no. 2, 906-924.
- (with Z. Cai)
Goal-oriented local a posteriori error estimators for H(div) least-squares
finite element methods, SIAM J. Numer.
Anal., 49 , no. 6, 2564-2575
-
Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods
, SIAM J. Numer. Anal., 49 , no. 2, 755-769.
- Pointwise Error Estimates for First-Order div
Least-Squares Finite Element Methods and Applications to Superconvergence and A Posteriori Error Estimators ,
SIAM J. Numer. Anal., 49 , no. 2, 521-540.
- A
posteriori error estimates for the primary and dual variables for the div
first-order least-squares finite element method , Computer Methods in
Applied Mechanics and Engineering, 200 (2011), Issues 5-8, 830-836.
- (with Z. Cai)
Optimal
Error Estimate for the Div Least-Squares Method with Data $f\in L^2$ and
Application to Nonlinear Problems, SIAM J. Numer.
Anal., 47 (2010), no. 6, 4098-4111.
- Pointwise error estimates for a stablized
Galerkin method: non-selfadjoint
problems, BIT Numerical Mathematics, 50 (2010) no.3, 609-630
- Maximum
norm error estimates for div least-squares method for Darcy flows,
Discrete Contin. Dyn.
Syst. 26 (2010), no. 4, 1305-1318.
- (with E. Park) A
posteriori error estimators for the first-order least-squares finite
element method, J. Comput. Appl. Math., 235
(2010), no. 1, 293-300.
- Pointwise error estimates and asymptotic error
expansion inequalities for a stablized Galerkin method, IMA J. Numer.
Anal. (2011) 31, 165-187.
- Weak
Coupling of solutions of first-order least-squares method, Math.
Comp., 77(2008), pp. 1323-1332.
- A
Remark on the Coercivity for a First-Order
Least-Squares Method, Numer. method for
PDE., 23:6(2007), 1577-1581.