Pé de la Riva, Álvaro; Rodrigo, Carmen; Gaspar, Francisco J.; Adler, James H.; Hu, Xiaozhe; Zikatanov, Ludmil A local Fourier analysis for additive Schwarz smoothers. (English) Zbl 07813449 Comput. Math. Appl. 158, 13-20 (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{Á. Pé de la Riva} et al., Comput. Math. Appl. 158, 13--20 (2024; Zbl 07813449) Full Text: DOI arXiv
Habibi, Noora; Mesforush, Ali; Gaspar Lorenz, Francisco José; Rodrigo, Carmen Semi-algebraic mode analysis for finite element discretisations of the heat equation. (English) Zbl 1488.65396 Comput. Methods Differ. Equ. 9, No. 1, 146-158 (2021). MSC: 65M55 65M60 65M06 65N30 65M12 65F10 35K05 PDFBibTeX XMLCite \textit{N. Habibi} et al., Comput. Methods Differ. Equ. 9, No. 1, 146--158 (2021; Zbl 1488.65396) Full Text: DOI
Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids. (English) Zbl 1460.65153 Comput. Geosci. 25, No. 2, 715-730 (2021). MSC: 65N55 76S05 PDFBibTeX XMLCite \textit{A. Arrarás} et al., Comput. Geosci. 25, No. 2, 715--730 (2021; Zbl 1460.65153) Full Text: DOI Link
de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. (English) Zbl 1446.65193 Comput. Math. Appl. 80, No. 2, 386-394 (2020). MSC: 65N55 42A38 31A30 PDFBibTeX XMLCite \textit{A. P. de la Riva} et al., Comput. Math. Appl. 80, No. 2, 386--394 (2020; Zbl 1446.65193) Full Text: DOI
Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T. Robust preconditioners for a new stabilized discretization of the poroelastic equations. (English) Zbl 1448.65145 SIAM J. Sci. Comput. 42, No. 3, B761-B791 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 65M60 65F22 65F08 74F10 76S05 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 42, No. 3, B761--B791 (2020; Zbl 1448.65145) Full Text: DOI arXiv
Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J. Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. (English) Zbl 1437.65131 J. Comput. Phys. 416, Article ID 109540, 15 p. (2020). MSC: 65M55 35R11 35K05 PDFBibTeX XMLCite \textit{X. Hu} et al., J. Comput. Phys. 416, Article ID 109540, 15 p. (2020; Zbl 1437.65131) Full Text: DOI arXiv
Borregales, Manuel; Kumar, Kundan; Radu, Florin Adrian; Rodrigo, Carmen; Gaspar, Francisco José A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. (English) Zbl 1442.65250 Comput. Math. Appl. 77, No. 6, 1466-1478 (2019). MSC: 65M60 65M12 65Y05 76S05 86A05 PDFBibTeX XMLCite \textit{M. Borregales} et al., Comput. Math. Appl. 77, No. 6, 1466--1478 (2019; Zbl 1442.65250) Full Text: DOI arXiv Link
De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J. A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers. (English) Zbl 07124595 SIAM J. Sci. Comput. 41, No. 5, S321-S345 (2019). MSC: 65Dxx 68-XX PDFBibTeX XMLCite \textit{A. P. De La Riva} et al., SIAM J. Sci. Comput. 41, No. 5, S321--S345 (2019; Zbl 07124595) Full Text: DOI
Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media. (English) Zbl 1423.76327 SIAM J. Sci. Comput. 41, No. 5, B1082-B1114 (2019). MSC: 76M25 65F10 65N22 65N55 76S05 PDFBibTeX XMLCite \textit{A. Arrarás} et al., SIAM J. Sci. Comput. 41, No. 5, B1082--B1114 (2019; Zbl 1423.76327) Full Text: DOI arXiv
Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients. (English) Zbl 1435.65053 SIAM J. Sci. Comput. 41, No. 3, A1385-A1413 (2019). MSC: 65F10 65M22 65M55 65C05 PDFBibTeX XMLCite \textit{P. Kumar} et al., SIAM J. Sci. Comput. 41, No. 3, A1385--A1413 (2019; Zbl 1435.65053) Full Text: DOI arXiv
Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T. Robust block preconditioners for Biot’s model. (English) Zbl 1442.65342 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 3-16 (2018). MSC: 65N30 65M22 76S05 74B10 74F10 65F10 65F08 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{J. H. Adler} et al., Lect. Notes Comput. Sci. Eng. 125, 3--16 (2018; Zbl 1442.65342) Full Text: DOI arXiv Link
Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T. New stabilized discretizations for poroelasticity and the Stokes’ equations. (English) Zbl 1440.76027 Comput. Methods Appl. Mech. Eng. 341, 467-484 (2018). MSC: 76D07 65M12 76M10 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Comput. Methods Appl. Mech. Eng. 341, 467--484 (2018; Zbl 1440.76027) Full Text: DOI arXiv Link
Franco, S. R.; Rodrigo, C.; Gaspar, F. J.; Pinto, M. A. V. A multigrid waveform relaxation method for solving the poroelasticity equations. (English) Zbl 1402.65177 Comput. Appl. Math. 37, No. 4, 4805-4820 (2018). MSC: 65N55 65N30 65F10 PDFBibTeX XMLCite \textit{S. R. Franco} et al., Comput. Appl. Math. 37, No. 4, 4805--4820 (2018; Zbl 1402.65177) Full Text: DOI
Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system. (English) Zbl 1380.76142 J. Comput. Phys. 353, 148-168 (2018). MSC: 76S05 76M12 74F10 PDFBibTeX XMLCite \textit{P. Luo} et al., J. Comput. Phys. 353, 148--168 (2018; Zbl 1380.76142) Full Text: DOI Link
Gaspar, Francisco J.; Rodrigo, Carmen On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics. (English) Zbl 1439.74413 Comput. Methods Appl. Mech. Eng. 326, 526-540 (2017). MSC: 74S05 65M60 65M55 74F10 76S05 86-08 PDFBibTeX XMLCite \textit{F. J. Gaspar} and \textit{C. Rodrigo}, Comput. Methods Appl. Mech. Eng. 326, 526--540 (2017; Zbl 1439.74413) Full Text: DOI Link
Luo, Peiyao; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. Uzawa smoother in multigrid for the coupled porous medium and Stokes flow system. (English) Zbl 1422.65438 SIAM J. Sci. Comput. 39, No. 5, S633-S661 (2017). MSC: 65N55 65F10 76S05 76M25 PDFBibTeX XMLCite \textit{P. Luo} et al., SIAM J. Sci. Comput. 39, No. 5, S633--S661 (2017; Zbl 1422.65438) Full Text: DOI
Gaspar, Francisco J.; Rodrigo, Carmen Multigrid waveform relaxation for the time-fractional heat equation. (English) Zbl 1371.65103 SIAM J. Sci. Comput. 39, No. 4, A1201-A1224 (2017). MSC: 65M55 35K05 35R11 65Y20 PDFBibTeX XMLCite \textit{F. J. Gaspar} and \textit{C. Rodrigo}, SIAM J. Sci. Comput. 39, No. 4, A1201--A1224 (2017; Zbl 1371.65103) Full Text: DOI arXiv
Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. On an Uzawa smoother in multigrid for poroelasticity equations. (English) Zbl 1424.76041 Numer. Linear Algebra Appl. 24, No. 1, e2074, 14 p. (2017). Reviewer: Karel Segeth (Praha) MSC: 76S05 65M55 42B05 PDFBibTeX XMLCite \textit{P. Luo} et al., Numer. Linear Algebra Appl. 24, No. 1, e2074, 14 p. (2017; Zbl 1424.76041) Full Text: DOI
Pinto, M. A. V.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. On the robustness of ILU smoothers on triangular grids. (English) Zbl 1382.65451 Appl. Numer. Math. 106, 37-52 (2016). MSC: 65N55 PDFBibTeX XMLCite \textit{M. A. V. Pinto} et al., Appl. Numer. Math. 106, 37--52 (2016; Zbl 1382.65451) Full Text: DOI Link
Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. On a local Fourier analysis for overlapping block smoothers on triangular grids. (English) Zbl 1382.65419 Appl. Numer. Math. 105, 96-111 (2016). MSC: 65N30 65N55 65T50 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Appl. Numer. Math. 105, 96--111 (2016; Zbl 1382.65419) Full Text: DOI arXiv
Rodrigo, Carmen Poroelasticity problem: numerical difficulties and efficient multigrid solution. (English) Zbl 1419.74240 S\(\vec{\text{e}}\)MA J. 73, No. 1, 31-57 (2016). MSC: 74S05 74F10 65M60 65M15 65M55 PDFBibTeX XMLCite \textit{C. Rodrigo}, S\(\vec{\text{e}}\)MA J. 73, No. 1, 31--57 (2016; Zbl 1419.74240) Full Text: DOI Link
Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L. A finite element framework for some mimetic finite difference discretizations. (English) Zbl 1443.65285 Comput. Math. Appl. 70, No. 11, 2661-2673 (2015). MSC: 65N06 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Comput. Math. Appl. 70, No. 11, 2661--2673 (2015; Zbl 1443.65285) Full Text: DOI arXiv
Rodrigo, C.; Salinas, P.; Gaspar, F. J.; Lisbona, F. J. Local Fourier analysis for cell-centered multigrid methods on triangular grids. (English) Zbl 1291.65323 J. Comput. Appl. Math. 259, Part A, 35-47 (2014). MSC: 65N06 65N55 65T99 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., J. Comput. Appl. Math. 259, Part A, 35--47 (2014; Zbl 1291.65323) Full Text: DOI
Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids. (English) Zbl 1416.65411 Comput. Math. Appl. 65, No. 12, 1978-1989 (2013). MSC: 65N08 65N55 35R05 PDFBibTeX XMLCite \textit{P. Salinas} et al., Comput. Math. Appl. 65, No. 12, 1978--1989 (2013; Zbl 1416.65411) Full Text: DOI
Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J. Multigrid methods on semi-structured grids. (English) Zbl 1354.65264 Arch. Comput. Methods Eng. 19, No. 4, 499-538 (2012). MSC: 65N55 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Arch. Comput. Methods Eng. 19, No. 4, 499--538 (2012; Zbl 1354.65264) Full Text: DOI
Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations. (English) Zbl 1280.65139 Appl. Math. Comput. 218, No. 22, 11182-11195 (2012). MSC: 65N55 65N30 35J05 PDFBibTeX XMLCite \textit{C. Rodrigo} et al., Appl. Math. Comput. 218, No. 22, 11182--11195 (2012; Zbl 1280.65139) Full Text: DOI
Gaspar, F. J.; Lisbona, F. J.; Gracia, J. L.; Rodrigo, C. Multigrid finite element methods on semi-structured triangular grids for planar elasticity. (English) Zbl 1240.74018 Numer. Linear Algebra Appl. 17, No. 2-3, 473-493 (2010). MSC: 74S05 65N55 65N30 74B05 PDFBibTeX XMLCite \textit{F. J. Gaspar} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 473--493 (2010; Zbl 1240.74018) Full Text: DOI
Čiegis, Raimondas; Gaspar, Francisco; Rodrigo, Carmen Parallel multiblock multigrid algorithms for poroelastic models. (English) Zbl 1183.68726 Čiegis, Raimondas (ed.) et al., Parallel scientific computing and optimization. Advances and applications. New York, NY: Springer (ISBN 978-0-387-09706-0/hbk). Springer Optimization and Its Applications 27, 169-180 (2009). MSC: 68W10 PDFBibTeX XMLCite \textit{R. Čiegis} et al., Springer Optim. Appl. 27, 169--180 (2009; Zbl 1183.68726) Full Text: DOI