Research interest
Numerical Analysis:
Approximation of partial differential equations.
Finite Element Methods:
Standard formulation.
Dual mixed methods.
Discontinuous Galerkin methods.
Stabilization Techniques.
Least squares approach.
A-posteriori error analysis.
Adaptivity.
Computational Mechanics:
Fluid mechanics: Until now, I had worked in Acoustic (Helmholtz equation), Stokes, Oseen, Brinkman and Darcy equations .
Mechanics of deformable solids, such as Linear Elasticity (Hooke's law) and Reissner-Mindlin equations.
Fluid-Structure interaction: Linear Elasticity (Lamé equations) coupling with Acoustic (Helmholtz equation).