152 citations · 839 across the 37 of their papers we have counts for
8 papers · 1 filter
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…
On differentiable local bounds preserving stabilization for Euler equations
Santiago Badia, Jesús Bonilla, Sibusiso Mabuza +1
This work presents the design of nonlinear stabilization techniques for the finite element discretization of Euler equations in both steady and transient form. Implicit time integr…
A user-guide to Gridap -- grid-based approximation of partial differential equations in Julia
Francesc Verdugo, Santiago Badia
We present Gridap, a new scientific software library for the numerical approximation of partial differential equations (PDEs) using grid-based approximations. Gridap is an open-sou…
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0
Santiago Badia, Alberto F. Martín
This work is a user guide to the FEMPAR scientific software library. FEMPAR is an open-source object-oriented framework for the simulation of partial differential equations (PDEs)…
A generic finite element framework on parallel tree-based adaptive meshes
Santiago Badia, Alberto F. Martín, Eric Neiva +1
In this work we formally derive and prove the correctness of the algorithms and data structures in a parallel, distributed-memory, generic finite element framework that supports h-…
Distributed-memory parallelization of the aggregated unfitted finite element method
Francesc Verdugo, Alberto F. Martín, Santiago Badia
The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitte…
Scalable solvers for complex electromagnetics problems
Santiago Badia, Alberto F. Martín, Marc Olm
In this work, we present scalable balancing domain decomposition by constraints methods for linear systems arising from arbitrary order edge finite element discretizations of multi…