This was part of Discrete Exterior Calculus

Applications of Discrete Exterior Calculus: From Physical Modeling to High-Performance Computing

Sanna Mönkölä, University of Jyväskylä

Wednesday, September 3, 2025



Slides
Abstract: This talk presents a versatile software framework for solving partial differential equations using the discrete exterior calculus (DEC) discretization method. Originating from our research group's development of a C++ library, the framework has been applied to a range of problems in acoustics, elastodynamics, electromagnetics, and quantum mechanics. Application areas include, for instance, wave propagation in photonic crystals and the evolution of Alice rings in spinor Bose-Einstein condensates. GPU acceleration has enabled efficient solutions of time-dependent Gross–Pitaevskii equations. Advanced features include space-time discretization in Minkowski space and higher-order Whitney form methods. More recently, development has focused on a general-purpose DEC solver implemented in Rust. Current work focuses on extending the library toward application areas such as plasma flows and nanoscale heat transport. The framework supports both time-dependent and time-harmonic problems, with the latter approached via the exact controllability method.