3 papers
math.NA2026
Divergence-free unfitted finite element discretisations for the Darcy problem
Santiago Badia, Anne Boschman, Alberto F. MartÃn +3
We develop an unfitted compatible finite element discretisation for the Darcy problem based on -conforming flux spaces and discontinuous pressure spaces. The metho…
math.NA2026
Four-field mixed finite elements for incompressible nonlinear elasticity
Santiago Badia, Wei Li, Ricardo Ruiz-Baier
We present a stable finite element method for incompressible nonlinear elasticity based on a four-field mixed formulation involving the displacement, displacement gradient, first P…
math.NA2025
A velocity-vorticity-pressure formulation for the steady Navier--Stokes--Brinkman--Forchheimer problem
Santiago Badia, Carsten Carstensen, Alberto F. Martin +2
The flow of incompressible fluid in highly permeable porous media in vorticity - velocity - Bernoulli pressure form leads to a double saddle-point problem in the Navier--Stokes--Br…