GIMC SIMAI Young 2026

Session

MS04.1 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

3 Jun 2026, 16:15

Pisa

108. Adapted W Methods for Efficient and Accurate Solution of Parabolic PDEs

Samira Iscaro (Department of Mathematics, University of Salerno)

03/06/2026, 16:15

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

Parabolic PDEs are widely used to model phenomena evolving in time and space, but their numerical solution requires efficient time integration combined with suitable spatial discretizations.
Thus, we investigate approaches to improve the efficiency of pre-existing methods used as time integrators for the ODE system arising from the spatial semi-discretization of the given PDE. Considering W...

16. A numerical-experimental comparison of Dog-Bone ductile sample via high-order isogeometric phase-field model for brittle fracture

Luigi Greco (University of Pavia)

03/06/2026, 16:30

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

The study of fracture mechanics is one of the most contemporary topics in engineering. Accurate prediction of the fracture phenomenon enables improvements in the design of structural elements, significantly impacting society through economic savings. Preventing fractures reduces repair costs, material loss, pollution from spills of environmentally impactful substances, and loss of life....

21. A stochastic perturbation approach to nonlinear bifurcating problems via Polynomial Chaos Expansion

Giacomo Venier (SISSA)

03/06/2026, 16:45

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

Incorporating probabilistic terms into mathematical models is essential for Uncertainty Quantification in complex systems. However, standard stochastic methods, such as Monte Carlo simulations, are often computationally intensive, particularly when investigating ill-conditioned problems such as bifurcating phenomena in parameter-dependent PDEs, which require running a large number of...

123. Operator Splitting Scheme for Nonlocal Kinetic PDEs derived from Multi Agent Systems

Simone Accogli (Università di Pavia)

03/06/2026, 17:00

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

Kinetic models obtained as the mean field limit of interacting particle systems provide an effective framework for describing collective dynamics in a wide range of applications, including vehicular traffic modeling, coordinated animal motion, biological population dynamics, and the control of robotic swarms. Compared to direct multi agent simulations, the continuous formulation based on...

159. A variational finite element approach for stiff non-convex Cahn–Hilliard systems in structural topology optimization

Edmund Bell-Navas (Universidad Politécnica de Madrid)

03/06/2026, 17:15

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

Higher-order partial differential equations play an increasingly important role in structural topology optimization, particularly in level-set, phase-field, and thermodynamically consistent variational formulations arising in advanced applications such as lightweight structural design, multifunctional materials, compliant devices, and additive manufacturing.
In this work, we consider a...