Now showing items 1-6 of 6

    • Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems 

      Arrarás Ventura, Andrés Upna; Portero Egea, Laura Upna (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      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, obtained from an unstructured coarse ...
    • Geometric multigrid methods for Darcy–Forchheimer flow in fractured porous media 

      Arrarás Ventura, Andrés Upna; Gaspar, F. J.; Portero Egea, Laura Upna; Rodrigo, C. (Elsevier, 2019)   Artículo / Artikulua
      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 which couples Darcy flow in the porous ...
    • Improved accuracy for time-splitting methods for the numerical solution of parabolic equations 

      Arrarás Ventura, Andrés Upna; Portero Egea, Laura Upna (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
      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 decomposition splitting methods that overcomes ...
    • Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media 

      Arrarás Ventura, Andrés Upna; Gaspar, F. J.; Portero Egea, Laura Upna; Rodrigo, C. (SIAM, 2019)   Artículo / Artikulua  OpenAccess
      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-dimensional arbitrary fracture networks with vertical ...
    • Modified Douglas splitting methods for reaction–diffusion equations 

      Arrarás Ventura, Andrés Upna; Hout, K. J. in ’t; Hundsdorfer, W.; Portero Egea, Laura Upna (Springer, 2017)   Artículo / Artikulua  OpenAccess
      We present modifications of the second-order Douglas stabilizing corrections method, which is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a forward Euler way is straightforward, ...
    • Multipoint flux mixed finite element methods for slightly compressible flow in porous media 

      Arrarás Ventura, Andrés Upna; Portero Egea, Laura Upna (Elsevier, 2019)   Artículo / Artikulua
      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 composed of triangles, quadrilaterals, ...