His Ph.D. work is to seek for variational improvement to quasi-minimal surfaces by implementing numerically an algorithm using an ansatz to reduce the area of a surface spanned by a finite number of boundary curves. Dr. Daud Ahmad is concerned with the techniques to generate variationally improved quasi-minimal and harmonic surfaces spanned by finite number of boundary curves, in particular bilinearly blended and bicubically blended Coons patches, extended Coons patches spanned by a finite number of boundary curves, Bezier and Toric Bezier surfaces, q-Bernstein polynomial Bezier surfaces, Bezier surfaces with shifted knots as the extremal of mean curvature functional, Dirichlet and the extended Dirichlet functionals, quasi-harmonic and bi-harmonic functionals.