My research focuses on the numerical analysis of, and scientific computation
for, finite element approximations
for nonlinear and possibly degenerate partial differential equations,
as well as for geometric evolution equations. In recent years
I have been working on nonlinear reaction diffusion systems arising in
mathematical biology, on thin film flows under the influence of surfactants
and van der Waals forces and on CahnHilliard type system. In addition
I have been concerned with a finite element approximation
of a phase field model that describes void electromigration. The model can be
extended to include the effect of both stressmigration and grain boundaries.

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