
Research interests:
My fields of expertise are numerical analysis, computational PDEs, numerical linear algebra, computational fluid dynamics.
Current interests include: computational free surfaces, unfitted finite element methods, numerical PDEs posed on surfaces and in a bulk, Cardiovascular computational mathematics, numerical modelling of biomembranes and material surfaces, nonNewtonian and high speed flows, linear algebra tools in
computational fluid dynamics.
My current research is supported by NSF through the projects
"Unfitted Finite Element Methods for Partial Differential Equations on Evolving Surfaces and Coupled SurfaceBulk Problems"
and "Collaborative Research: Variational structure preserving methods for incompressible flows: dicretizations, analysis, parallel solvers" as well as by ARO through the project "Longterm Stable Conservative Multiscale Methods
for Vortex Flows".
I am coauthoring or coediting a few books:
