5 citations · 5 across the 2 of their papers we have counts for
7 papers · 1 filter
Model order reduction with novel discrete empirical interpolation methods in space-time
Nicholas Mueller, Santiago Badia
This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) s…
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
Santiago Badia, Manuel Caicedo, Alberto F. Martín +1
In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and…
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
Eric Neiva, Santiago Badia
This work introduces a novel, fully robust and highly-scalable, -adaptive aggregated unfitted finite element method for large-scale interface elliptic problems. The new method i…
Balancing domain decomposition by constraints associated with subobjects
Santiago Badia, Alberto F. Martín, Hieu Nguyen
A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) i…
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems
Jesus Bonilla, Santiago Badia
This work is focused on the extension and assessment of the monotonicity-preserving scheme in [3] and the local bounds preserving scheme in [5] to hierarchical octree adaptive mesh…
Embedded multilevel Monte Carlo for uncertainty quantification in random domains
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 in PDE models. It combines approximation…