Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Antonietti, P. F."'
This work aims to construct and analyze a discontinuous Galerkin method on polytopal grids (PolydG) to solve the pseudo-stress formulation of the unsteady Stokes problem. The pseudo-stress variable is introduced due to the growing interest in non-New
Externí odkaz:
http://arxiv.org/abs/2408.08760
Neurocognitive disorders, such as Alzheimer's and Parkinson's, have a wide social impact. These proteinopathies involve misfolded proteins accumulating into neurotoxic aggregates. Mathematical and computational models describing the prion-like dynami
Externí odkaz:
http://arxiv.org/abs/2407.16065
Agglomeration techniques are important to reduce the computational costs of numerical simulations and stand at the basis of multilevel algebraic solvers. To automatically perform the agglomeration of polyhedral grids, we propose a novel Geometrical D
Externí odkaz:
http://arxiv.org/abs/2406.10587
Autor:
Botta, Federica, Calafà, Matteo, Africa, Pasquale C., Vergara, Christian, Antonietti, Paola F.
This work aims at presenting a Discontinuous Galerkin (DG) formulation employing a spectral basis for two important models employed in cardiac electrophysiology, namely the monodomain and bidomain models. The use of DG methods is motivated by the cha
Externí odkaz:
http://arxiv.org/abs/2406.03045
In this paper, we design and analyze a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the monotonicity and boundedness properties of the continuous operator, i
Externí odkaz:
http://arxiv.org/abs/2403.03886
Finite element-based high-order solvers of conservation laws offer large accuracy but face challenges near discontinuities due to the Gibbs phenomenon. Artificial viscosity is a popular and effective solution to this problem based on physical insight
Externí odkaz:
http://arxiv.org/abs/2402.16517
Autor:
Antonietti, Paola F., Corti, Mattia
The spreading of misfolded proteins is a known hallmark in some neurodegenerative diseases, known as proteinopathies. A significant example is the tau protein, associated with many pathologies, such as Alzheimer's. In this work, we discuss and compar
Externí odkaz:
http://arxiv.org/abs/2401.15747
Epilepsy is a clinical neurological disorder characterized by recurrent and spontaneous seizures consisting of abnormal high-frequency electrical activity in the brain. In this condition, the transmembrane potential dynamics are characterized by rapi
Externí odkaz:
http://arxiv.org/abs/2401.14310
Autor:
Antonietti, Paola F., Bonetti, Stefano, Botti, Michele, Corti, Mattia, Fumagalli, Ivan, Mazzieri, Ilario
We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a Matlab library for the discretization of partial differential equations based on high-order discontinuous Galerkin methods on p
Externí odkaz:
http://arxiv.org/abs/2401.13376
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, 431 (2024), 117282
Mathematical models of protein-protein dynamics, such as the heterodimer model, play a crucial role in understanding many physical phenomena. This model is a system of two semilinear parabolic partial differential equations describing the evolution a
Externí odkaz:
http://arxiv.org/abs/2310.08342