Automation of multiphysics numerical simulations using open-source software

This talk presents an overview of the open-source ecosystem for multiphysics numerical simulation in mechanical engineering, with a focus on FEniCSx, MFront, and JAX. These three complementary tools enable the automated formulation and efficient solution of complex nonlinear problems, from finite-element modeling and constitutive behavior to high-performance numerical computing.

FEniCSx provides a flexible framework for multiphysics finite-element simulations, MFront offers robust code generation for advanced material models compatible with many industrial solvers, and JAX introduces just-in-time compilation and automatic differentiation to support optimization and emerging data-driven approaches. Together, they allow high-level model descriptions to be transformed into efficient, composable simulation workflows.

Industrial-motivated applications, including steel additive manufacturing, concrete 3D printing, and biomechanical processes, will illustrate how open-source tools can enhance transparency, reusability, and innovation in computational solid mechanics.