RESEARCH DIRECTIONS:
Computational fluid dynamics activity
- High order control volume Pade-type approximations schemes for the
Navier-Stokes equations in complex geometries with application to
3-D mixing problems;
- Development of well models and application of mixed finite element
methods/control volume mixed finite element methods for modelling
the non-Darcy gas flows in porous media;
- Development of approximation schemes suitable for highly distorted
hexahedral grids
Geometrical optimization activity
- Development of methods for 2-D and 3-D quasi-isometric grid
generation;
- Surface grid generation, surface morphings and projections;
- Maximum-norm optimization methods in the construction of the spatial
mappings;
- Integration of linear solvers and the solution methods for highly
nonlinear variational problems.
Linear iterative solvers activity
- Iterative solvers for large dense complex/real linear
systems and for sparse symmetric/unsymmetric and structured/unstructured
linear systems;
- Sparse and factorized sparse approximate inverses and
incomplete block factorizations in the inverse-free form;
- Robust second-order incomplete Cholesky preconditionings for linear
systems with ill-conditioned SPD matrices;
- Highly sparse incomplete QR decompositions;
- Parallel fast Strassen-like matrix-matrix multiplication and inversion
algorithms.