Efficient numerical methods for deformable porous media. Application to carbon dioxide storage.

Publications

Peer reviewed articles (10)

Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System

Author(s): Peiyao Luo, Carmen Rodrigo, Francisco J. Gaspar, Cornelis W. Oosterlee
Published in: SIAM Journal on Scientific Computing, Issue 39/5, 2017, Page(s) S633-S661, ISSN 1064-8275
DOI: 10.1137/16M1076514

On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics

Author(s): Francisco J. Gaspar, Carmen Rodrigo
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 326, 2017, Page(s) 526-540, ISSN 0045-7825
DOI: 10.1016/j.cma.2017.08.025

Monotone Difference Schemes for Weakly Coupled Elliptic and Parabolic Systems

Author(s): Piotr Matus, Francisco Gaspar, Le Minh Hieu, Vo Thi Kim Tuyen
Published in: Computational Methods in Applied Mathematics, Issue 17/2, 2017, ISSN 1609-4840
DOI: 10.1515/cmam-2016-0046

Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system

Author(s): P. Luo, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee
Published in: Journal of Computational Physics, Issue 353, 2018, Page(s) 148-168, ISSN 0021-9991
DOI: 10.1016/j.jcp.2017.09.062

New stabilized discretizations for poroelasticity and the Stokes’ equations

Author(s): C. Rodrigo, X. Hu, P. Ohm, J.H. Adler, F.J. Gaspar, L.T. Zikatanov
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 341, 2018, Page(s) 467-484, ISSN 0045-7825
DOI: 10.1016/j.cma.2018.07.003

A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model

Author(s): Manuel Borregales, Kundan Kumar, Florin Adrian Radu, Carmen Rodrigo, Francisco José Gaspar
Published in: Computers & Mathematics with Applications, 2018, ISSN 0898-1221
DOI: 10.1016/j.camwa.2018.09.005

On an Uzawa smoother in multigrid for poroelasticity equations

Author(s): P. Luo, C. Rodrigo, F. J. Gaspar, C. W. Oosterlee
Published in: Numerical Linear Algebra with Applications, Issue 24/1, 2017, Page(s) e2074, ISSN 1070-5325
DOI: 10.1002/nla.2074

On The Validity of the Local Fourier Analysis

Author(s): Carmen Rodrigo, Francisco J. Gaspar, Ludmil T. Zikatanov
Published in: Journal of Computational Mathematics, Issue 37/3, 2018, Page(s) 340-348, ISSN 0254-9409
DOI: 10.4208/jcm.1803-m2017-0294

Multigrid Waveform Relaxation for the Time-Fractional Heat Equation

Author(s): Francisco J. Gaspar, Carmen Rodrigo
Published in: SIAM Journal on Scientific Computing, Issue 39/4, 2017, Page(s) A1201-A1224, ISSN 1064-8275
DOI: 10.1137/16M1090193

A multigrid multilevel Monte Carlo method for transport in the Darcy–Stokes system

Author(s): Prashant Kumar, Peiyao Luo, Francisco J. Gaspar, Cornelis W. Oosterlee
Published in: Journal of Computational Physics, Issue 371, 2018, Page(s) 382-408, ISSN 0021-9991
DOI: 10.1016/j.jcp.2018.05.046

Other (5)

On cell-centered multigrid methods and Local Fourier Analysis for PDEs with random coefficients

Author(s): Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W.
Published in: Issue 1, 2018

Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation

Author(s): Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.
Published in: Issue 3, 2017

An efficient multigrid solver for isogeometric analysis

Author(s): Pe de la Riva, Alvaro Rodrigo, Carmen Gaspar, Francisco
Published in: 2018

Monolithic mixed-dimensional multigrid methods for single-phase flow in fractured porous media

Author(s): Arrarás, Andrés Gaspar, Francisco Portero, Laura Rodrigo, Carmen
Published in: 2018

Geometric multigrid methods for Darcy–Forchheimer flow in fractured porous media

Author(s): Arrarás, Andrés Gaspar, Francisco Portero, Laura Rodrigo, Carmen
Published in: 2018

Conference proceedings (1)

On a multigrid method for the coupled Stokes and porous media flow problem

Author(s): P. Luo, C. Rodrigo, F. J. Gaspar, C. W. Oosterlee
Published in: AIP Conference Proceedings volume 1863, 2017, Page(s) 560023
DOI: 10.1063/1.4992706