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

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Publications

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

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

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