Andrea Borio

Andrea Borio is an Associate Professor at the Department of Mathematical Sciences 'GL Lagrange' (DISMA) at Politecnico di Torino. He is affiliated with the College of Mathematical Engineering and College of Mechanical, Aerospace and Automotive Engineering. His research focuses on Numerical Analysis, Virtual Element Methods, Partial Differential Equations, and Mesh Adaptivity.

• Research Interests: A posteriori error estimates, mesh adaptivity for polygonal/polyhedral grids, stabilization-free numerical methods, and applications of virtual element methods in geomechanics, biomedical simulations, and coupled flow problems.

Recent Publications highlight advancements in stabilization-free virtual element methods for elliptic equations, divergence-free projections, and software frameworks like POLYDIM and GEOS for large-scale simulations. His work spans applications in underground fluid storage, brain tumor modeling, and discrete fracture networks.

• Teaching: Courses include Sobolev Spaces on Non-Smooth Domains, Solving PDEs on Polygonal Meshes, and modules on numerical models/methods across Mathematical, Mechanical, and Aerospace Engineering programs.
• Students: Supervises Davide Fassino, a PhD student in Pure and Applied Mathematics (38th cycle, 2022–ongoing).
• Skills: ERC sectors include numerical analysis, scientific computing, and mathematical applications in industry.