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math.NA2026
Adaptive Consistency for Mimetic Finite Differences
Yoo Jin Cha, Omar Duran, Nicola Castelletto +2
The mimetic finite difference (MFD) method provides a robust discretization for flow simulation on general polyhedral meshes, but its computational cost can become significant due…
math.NA2025
A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
Matteo Frigo, Nicola Castelletto, Matteo Cusini +2
Numerical simulations are essential for evaluating the performance and safety of geological engineered systems such as geologic carbon storage sites, enhanced geothermal fields, an…
math.NA2024
Pressure stability in explicitly coupled simulations of poromechanics with application to CO sequestration
Ryan M. Aronson, Pavel Tomin, Nicola Castelletto +3
We study in detail the pressure stabilizing effects of the non-iterated fixed-stress splitting in poromechanical problems which are nearly undrained and incompressible. When applie…