4 papers
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum
Wietse M. Boon, Nicola R. Franco, Alessio Fumagalli
We consider a mixed formulation of parametrized elasticity problems in terms of stress, displacement, and rotation. The latter two variables act as Lagrange multipliers to enforce…
Predicting nonlinear-flow regions in highly heterogeneous porous media using adaptive constitutive laws and neural networks
Chiara Giovannini, Alessio Fumagalli, Francesco Patacchini
In a porous medium featuring heterogeneous permeabilities, a wide range of fluid velocities may be recorded, so that significant inertial and frictional effects may arise in high-s…
Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards' equation
Federico Gatti, Andrea Bressan, Alessio Fumagalli +4
This paper proposes two algorithms to impose seepage boundary conditions in the context of Richards' equation for groundwater flows in unsaturated media. Seepage conditions are non…