Selected Publications:

(under the guidance of Prof.I.Babuska and Dr.Strouboulis)

A posteriori Error Estimation


(@) A posteriori estimation of the error in the recovered derivatives of the finite element solution Computer Methods in Applied Mechanics and Engineering, 150, pp.369-396, 1997.

(&)Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives, Computer Methods in Applied Mechanics and Engineering, 140, pp.1-37, 1997.

($)A posteriori error estimation for finite element solutions of Helmholtz equation - Part I: The quality of local indicators and estimators, International Journal of Numerical Methods in Engineering, 40, pp.3443-3462, 1997.

($)A posteriori error estimation for finite element solutions of Helmholtz equation - Part II: Estimation of the Pollution error, International Journal of Numerical Methods in Engineering, 40 pp.3883-3900, 1997.

(@)Practical aspects of a posteriori estimation of the pollution error for reliable finite element analysis, Computers and Structures (in print, March 1998).

(&)A-posteriori estimation and adaptive control of the Pollution error in the h-version of the Finite Element Method, International Journal of Numerical Methods in Engineering, 38, pp.4207-4235, 1995.

(&) A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangle and quadrilaterals, Computers and Structures, 57, pp.1009-1028, 1995.

(*)Validation of a posteriori error estimators by numerical approach, International Journal of Numerical Methods in Engineering, 37, pp.1073-1123, 1994.

(*)An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations, USACM Bulletin, Vol.7, No.2, June 1994.

Superconvergence and Post-processing of flux/stress


(&)eta-% Superconvergence in the interior of locally refined meshes of quadrilaterals. Superconvergence of the gradient in finite element solutions of Laplace's and Poisson's Equations, Applied Numerical Mathematics, Vol.16, pp.3-49, 1994.

(&)Validation of Recipes for the Recovery of Stresses and Derivatives by a Computer-Based Approach, Mathematical and Computer Modelling, Vol.20, No.6, pp.45-89, 1994.

(&)Superconvergence in the finite element method by computer-based proof, USACM Bulletin, Vol.7, No.3, September 1994.

(&)Computer-based proof of the existence of Superconvergence points in the finite element method; Superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's and elasticity equations, Numerical Methods for Partial Differential Equations, Vol.12, pp.347-392, 1996.



(*) under the guidance of Prof.I.Babuska and Dr.T.Strouboulis with C.S.Upadhyay and K.D.Copps
(&) under the guidance of Prof.I.Babuska and Dr.T.Strouboulis with C.S.Upadhyay
(@) under the guidance of Prof.I.Babuska and Dr.T.Strouboulis
($) under the guidance of Prof.I.Babuska and Dr.T.Strouboulis with Dr.F.Ihlenburg




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