ERC Starting Grant · 2025
StrUcture PREserving Methods on Unstructured grids for continuum Mechanics
SUPREMUM aims to develop and theoretically study innovative structure-preserving (SP) numerical methods to solve challenging non-linear hyperbolic partial differential equations (PDE) modelling continuum mechanics. The ultimate groundbreaking goal consists on devising the first existing numerical methods simultaneously verifying at the discrete level all structural properties of the continuous models: provable thermodynamical compatibility, so that the systems satisfy an extra conservation law for the total energy in order to rigorously prove non-linear stability; conservation of equilibrium solutions, needed to perform very long-time stable simulations; verification of natural involution…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.