Abstract
The numerical solution of complex physical problems requires appropriate mathematical models and accurate numerical methods. Often the numerical problem is so large that devising computational reduction techniques, and developing efficient parallel algorithms by exploiting a dimensional reduction paradigm, becomes necessary.
This presentation will address some of these issues and a few representative applications such as geodynamics, sports design and medicine, with a special focus on the complex interactions governing blood motion and artery wall deformation, and the interplay between electrical, mechanical and fluid-dynamical processes occurring in the heart.