This work focuses on the conservation of quantities such as Hamiltonians, mass, and
momentum when solution fields of partial differential equations are approximated with …

We propose a new reduced order modeling strategy for tackling parametrized Partial
Differential Equations (PDEs) with linear constraints, in particular Darcy flow systems in …

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 …

This paper introduces a novel approach, the mass-conservative reduced-order characteristic
finite element (MCROCFE) method, designed for optimal control problem governed by …

This paper explores an iterative approach to solve linear thermo-poroelasticity problems,
with its application as a high-fidelity discretization utilizing finite elements during the training …

This paper explores an iterative coupling approach to solve thermo-poroelasticity problems,
with its application as a high-fidelity discretization utilizing finite elements during the training …

In this work we present an enriched Petrov-Galerkin (EPG) method for the simulation of the
Darcy flow in porous media. The new method enriches the approximation trial space of the …

We propose an explicit construction of Poincar\'e operators for the lowest order finite
element spaces, by employing spanning trees in the grid. In turn, a stable decomposition of …

This paper explores an iterative approach to solve linear thermo-poroelasticity problems,
with its application as a high-fidelity discretization utilizing finite elements during the training …