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

• Phone: 405-744-5694

• Office: Room 437, Mathematical Sciences

Education

• Ph.D. in Mathematics (August 2004), Cornell University

Thesis advisor: Professor Lars Wahlbin

•    A least-squares method for second order non-coercive elliptic partial differential equations;  Math. Comp., 76 (2007), 97-114.

• (With Z. Cai)    The $L^2$ norm error estimates for the Div Least-Squares Methods, SIAM J. Numer. Anal., 44:4 (2006), pp. 1721-1734.

•    A Remark on the Coercivity for a First-Order Least-Squares Method, (to appear in Numerical Methods for Partial Differential Equations)

•   Weak Coupling of solutions of first-order least-squares method, (submitted)

• (with Z. Cai) H(div) Least-Squares Methods for Navier-Stokes equations, (in preparation)

• (with A. Schatz) Asymtotically exact local error estimators for domains with corners, (in preparation)

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  Last update Oct. 30, 2006.