Numerical Approximation of PDEs

I am interested in the development of methods for the numerical approximation of differential problems, in particular related to multiphysics and multiscale models motivated by real-life applications. My research focuses on the development of novel algorithms for coupled problems, optimization methods, model order reduction techniques, always with a special care on computational efficiency and green computing aspects.

Besides cardiac modeling, which is my main application field of interest, I have also worked on additive manufacturing, topology optimization, and fluid-structure interaction problems. In the context of cardiac computational mechanics, I developed the first numerically stable scheme in the literature that allows active and passive mechanics to be coupled in a segregated manner. I have also worked on the development of a new multi-material topological optimization algorithm, the development of numerically stable methods for 0D-3D fluid-structure interaction problems, and the development of a Fictitious Domain method for interface problems with optimal convergence order.