3 papers
math.NA2026
Robust H(curl)-based finite element methods for the incompressible MHD system
Lourenço Beirão da Veiga, Sergio Gómez, Ilaria Perugia +1
We propose and analyze a class of finite element methods for the time-dependent incompressible magnetohydrodynamics system based on -conforming discretizations fo…
math.NA2025
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
We present and analyze a structure-preserving method for the approximation of solutions to nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial…
math.NA2025
Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching
Davide Pradovera, Ralf Hiptmair, Ilaria Perugia
This paper describes novel algorithms for the identification of (almost-)resonant behavior in scattering problems. Our methods, relying on rational approximation, aim at building s…