A glimpse into the future of Exascale Computing

How do you simulate blood flowing through tiny vessels and how the surrounding tissue reacts — all at once, and fast enough for today’s supercomputers?

Last week at Politecnico di Milano, Prof. Luca Heltai offered a deep dive into this question during a seminar on mixed-dimensional mathematical models — where different parts of a physical system, such as 1D blood vessels within 3D tissues, are represented in different dimensions. These problems are far from straightforward: the computational meshes don’t align, the mathematics is intricate, and efficient solutions demand cutting-edge numerical techniques.

The MOX seminar explored:
· The challenges of coupling equations across dimensions
· The role of reduced Lagrange multiplier methods in tackling these problems
· How large-scale systems can be solved efficiently using advanced algorithms and high-performance libraries like deal.II

Attendees got a glimpse into the future of Exascale Computing, where solving billion-variable problems is becoming a practical reality.

Want to learn more or get involved? The dealiiX project is a pioneering project aimed at developing a scalable, high-performance computational platform using the deal.II library to create accurate digital twins of human organs.. Stay updated and explore our project!