152 citations · 333 across the 12 of their papers we have counts for
14 papers
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…
Tree-based adaptive finite element methods for deformable image registration
Nicolás A. Barnafi, Alberto F. Martın, Ricardo Ruiz-Baier
In this work we propose an adaptive Finite Element Method (FEM) formulation for the Deformable Image Registration problem (DIR) together with a residual-based a posteriori error es…
Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
David Lee, Alberto F. Martín, Kieran Ricardo
Implicit solvers for atmospheric models are often accelerated via the solution of a preconditioned system. For block preconditioners this typically involves the factorisation of th…
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…
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…
On a general implementation of - and -adaptive curl-conforming finite elements
Marc Olm, Santiago Badia, Alberto F. Martín
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order met…
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing
Eric Neiva, Santiago Badia, Alberto F. Martín +1
This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known…
Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem
Santiago Badia, Alberto F. Martín, Francesc Verdugo
In this work, we consider unfitted finite element methods for the numerical approximation of the Stokes problem. It is well-known that this kind of methods lead to arbitrarily ill-…
The aggregated unfitted finite element method for elliptic problems
Santiago Badia, Francesc Verdugo, Alberto F. Martín
Unfitted finite element techniques are valuable tools in different applications where the generation of body-fitted meshes is difficult. However, these techniques are prone to seve…
FEMPAR: An object-oriented parallel finite element framework
Santiago Badia, Alberto F. Martín, Javier Principe
FEMPAR is an open source object oriented Fortran200X scientific software library for the high-performance scalable simulation of complex multiphysics problems governed by partial d…
Simulation of high temperature superconductors and experimental validation
Marc Olm, Santiago Badia, Alberto F. Martín
In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which a…