Description
Advanced Numerical Methods and Models for
Coupled Solid Problems and Multiphysics Systems
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Gregorio Casella (Politecnico di Milano)05/06/2026, 09:00MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
We introduce a novel unfitted finite element method for elliptic problems posed on domains with embedded inclusions. The proposed approach extends the standard Fictitious Domain framework by enforcing a smooth extension of the solution inside the fictitious region. This feature allows the method to attain optimal convergence rates in settings where classical Fictitious Domain formulations may...
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Pieter Laureys (Politecnico di Milano)05/06/2026, 09:15MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
Additive manufacturing of piezoceramics enables the acquisition of high resolution lead-free piezoelectric architected microgeometries that are difficult to realize with conventional processing. To exploit these design freedoms, predictive multiphysics models must capture the electromechanical coupling together with the non linear, history dependent response typical of ferroelectric...
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Luca Cattarossi (Scuola IMT Alti Studi Lucca)05/06/2026, 09:30MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
This contribution describes a Fluid–Structure Interaction (FSI)
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solver based on a partitioned steering approach. The structural
partecipant is modeled using linear elasticity and advanced in time with
a one-step theta method. Such a model is coupled with a numerical
method for incompressible quasi-potential flows around three-dimensional
lifting streamlined bodies (Cattarossi et al.,... -
Lorenzo Mingazzi (Università degli Studi di Parma)05/06/2026, 09:45MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
Carbonation is a major degradation process affecting cementitious materials, with significant implications for the durability and service life of concrete structures. Under atmospheric exposure, carbon dioxide (CO$_2$) penetrates the partially saturated pore network, dissolves in the pore water, and initially reacts with portlandite (Ca(OH)$_2$) to form calcium carbonate (CaCO$_3$). As...
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Mario Pistis (University of Cagliari)05/06/2026, 10:00MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
The characteristic behaviour of highly flexible structures, such as membranes and cable-like systems, in Fluid–Solid Interaction (FSI) conditions, typically involves strong fluid–structure nonlinear coupling due to the low solid-to-fluid mass ratio, the bending rigidity of the structure, and the Reynolds number of the problem. Additional nonlinearities include large structural displacement and...
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Federica Troni (Centre Européen de Calcul Atomique et Moléculaire (CECAM), Ecole Polytechnique Fédérale de Lausanne (EPFL))05/06/2026, 10:15MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
The evaluation of electrostatic forces remains a major computational challenge in molecular dynamics (MD) simulations of large-scale systems. Direct pairwise calculations scale as $\mathcal{O}(N^2)$, while long-range interactions under periodic boundary conditions require dedicated algorithms. The current method of choice, Particle Mesh Ewald (PME)[1], achieves $\mathcal{O}(N \log N)$ scaling...
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Irene Nesi (Scuola IMT Alti Studi Lucca)05/06/2026, 10:30MS01 - Advanced Numerical Methods and Models for Coupled Solid Problems and Multiphysics Systems
A recent work by Areias et al. [ASA23] shows how it's possible to detect contact by solving the scalar Screened Poisson equation $$ \Delta \phi (\mathbf{x}) - \operatorname{k}^2 \phi(\mathbf{x}) = 0 \qquad \text{for } \operatorname{k} \in \mathbb{R}$$ with constant boundary conditions. Solving this equation in a domain $\Omega$ of arbitrary shape allows us to obtain an Approximate Distance...
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