10 citations · 16 across the 8 of their papers we have counts for
8 papers
A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
Laura Portero, Andrés Arrarás, Francisco J. Gaspar +1
We study the slightly compressible Darcy-Forchheimer equations modeling gas flow in porous media, particularly in applications related to combustion processes. The equations are di…
Space-time parallel iterative solvers for the integration of parabolic problems
Andrés Arrarás, Francisco J. Gaspar, Iñigo Jimenez-Ciga +1
In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framewor…
Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
Andrés Arrarás, Francisco J. Gaspar, Laura Portero +1
In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint flux approximations of the Darcy problem on logically rectangular grids. The approach i…
Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media
Andrés Arrarás, Francisco J. Gaspar, Laura Portero +1
In this paper, we present a monolithic multigrid method for the efficient solution of flow problems in fractured porous media. Specifically, we consider a mixed-dimensional model w…
Multipoint flux mixed finite element methods for slightly compressible flow in porous media
Andrés Arrarás, Laura Portero
In this paper, we consider multipoint flux mixed finite element discretizations for slightly compressible Darcy flow in porous media. The methods are formulated on general meshes c…
Monolithic mixed-dimensional multigrid methods for single-phase flow in fractured porous media
Andrés Arrarás, Francisco J. Gaspar, Laura Portero +1
This paper deals with the efficient numerical solution of single-phase flow problems in fractured porous media. A monolithic multigrid method is proposed for solving two-dimensiona…
Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems
Andrés Arrarás, Laura Portero
In this paper, we propose a numerical method for the solution of time-dependent flow problems in mixed form. Such problems can be efficiently approximated on hierarchical grids, ob…
Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
Andrés Arrarás, Laura Portero
In this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction-diffusion problems. In particular, we formulate a family of domain decompo…