152 citations · 839 across the 37 of their papers we have counts for
5 papers · 1 filter
A Massively Parallel Implementation of Multilevel Monte Carlo for Finite Element Models
Santiago Badia, Jerrad Hampton, Javier Principe
The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (P…
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Unfitted (also known as embedded or immersed) finite element approximations of partial differential equations are very attractive because they have much lower geometrical requireme…
The software design of Gridap: a Finite Element package based on the Julia JIT compiler
Francesc Verdugo, Santiago Badia
We present the software design of Gridap, a novel finite element library written exclusively in the Julia programming language, which is being used by several research groups world…
Conditioning of a Hybrid High-Order scheme on meshes with small faces
Santiago Badia, Jerome Droniou, Liam Yemm
We conduct a condition number analysis of a Hybrid High-Order (HHO) scheme for the Poisson problem. We find the condition number of the statically condensed system to be independen…
Linking ghost penalty and aggregated unfitted methods
Santiago Badia, Eric Neiva, Francesc Verdugo
In this work, we analyse the links between ghost penalty stabilisation and aggregation-based discrete extension operators for the numerical approximation of elliptic partial differ…