Edit Profile (opens in new tab) Gaspar, Francisco José Compute Distance To: Compute Author ID: gaspar.francisco-jose Published as: Gaspar, F. J.; Gaspar, Francisco J.; Gaspar, Francisco; Gaspar, Francisco José; Gaspar, F. more...less Documents Indexed: 86 Publications since 1998 1 Contribution as Editor Co-Authors: 49 Co-Authors with 87 Joint Publications 1,057 Co-Co-Authors all top 5 Co-Authors 0 single-authored 50 Rodrigo, Carmen 35 Lisbona Cortés, Francisco Javier 21 Oosterlee, Cornelis Willebrordus 13 Vabishchevich, Pëtr Nikolaevich 8 Gracia, José Luis 8 Hu, Xiaozhe 8 Zikatanov, Ludmil T. 5 Arrarás, Andres 5 Luo, Peiyao 5 Matus, Pëtr Paŭlavich 5 Portero, Laura 5 Vo Thi Kim Tuyen 5 Wienands, Roman 4 Adler, James H. 4 Boal, Natalia 3 Čiegis, Raimondas 3 Clavero, Carmelo 3 De La Riva, Alvaro Pe 3 Heidenreich, E. A. 3 Kumar, Prashant 3 Ohm, Peter 3 Pinto, Marcio Augusto Villela 3 Salinas, Pablo 3 Washio, Takumi 2 Franco, Sebastião Romero 2 Frisch, J. C. 2 Hieu, Le Minh 2 Rodríguez, José Félix 1 Aguilar, Gloria 1 Borregales, Manuel 1 Celorrio, Ricardo 1 Doblaré, Manuel 1 Ferrero, José M. jun. 1 Garamendi, Juan Francisco 1 Gmeiner, Björn 1 Gradl, Tobias 1 Grigoriev, Alexander 1 Iliev, Oleg P. 1 Kumar, Kundan 1 Malpica, Norberto 1 Mirinavičius, Aleksas 1 Naumovich, Anna 1 Notay, Yvan 1 Pascau, Antonio 1 Radu, Florin Adrian 1 Rüde, Ulrich 1 Sanz, Francisco 1 Schiavi, Emanuele 1 Yavneh, Irad all top 5 Serials 9 SIAM Journal on Scientific Computing 7 Computers & Mathematics with Applications 7 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 5 Numerical Linear Algebra with Applications 5 Computational Methods in Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Computational Physics 4 Mathematical Modelling and Analysis 4 International Journal of Numerical Analysis and Modeling 2 Applied Mathematics and Computation 2 International Journal for Numerical Methods in Engineering 2 Numerical Methods for Partial Differential Equations 2 Computing and Visualization in Science 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Computing 1 Journal of Computational Mathematics 1 Computational and Applied Mathematics 1 IEEE Transactions on Image Processing 1 Archives of Computational Methods in Engineering 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 74 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 27 Mechanics of deformable solids (74-XX) 24 Partial differential equations (35-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 551 times in 264 Documents Cited by ▼ Year ▼ A nonconforming finite element method for the Biot’s consolidation model in poroelasticity. Zbl 1381.76175Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T. 38 2017 Stability and monotonicity for some discretizations of the Biot’s consolidation model. Zbl 1425.74164Rodrigo, C.; Gaspar, F. J.; Hu, X.; Zikatanov, L. T. 36 2016 A finite difference analysis of Biot’s consolidation model. Zbl 1023.76032Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 33 2003 New stabilized discretizations for poroelasticity and the Stokes’ equations. Zbl 1440.76027Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T. 23 2018 Fourier analysis for multigrid methods on triangular grids. Zbl 1190.65181Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J. 21 2009 Numerical stabilization of Biot’s consolidation model by a perturbation on the flow equation. Zbl 1158.74473Aguilar, G.; Gaspar, F.; Lisbona, F.; Rodrigo, C. 20 2008 Multigrid line smoothers for higher order upwind discretizations of convection- dominated problems. Zbl 0908.65111Oosterlee, C. W.; Gaspar, F. J.; Washio, T.; Wienands, R. 19 1998 A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system. Zbl 1164.65344Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Wienands, R. 18 2004 Multigrid relaxation methods for systems of saddle point type. Zbl 1148.76040Oosterlee, C. W.; Gaspar, F. J. 16 2008 Staggered grid discretizations for the quasi-static Biot’s consolidation problem. Zbl 1091.76047Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 16 2006 Multigrid waveform relaxation for the time-fractional heat equation. Zbl 1371.65103Gaspar, Francisco J.; Rodrigo, Carmen 13 2017 On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics. Zbl 1439.74413Gaspar, Francisco J.; Rodrigo, Carmen 13 2017 A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen 12 2014 On an Uzawa smoother in multigrid for poroelasticity equations. Zbl 1424.76041Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. 12 2017 Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T. 12 2020 On a local Fourier analysis for overlapping block smoothers on triangular grids. Zbl 1382.65419Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 11 2016 A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers. Zbl 07124595De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J. 11 2019 An efficient multigrid solver for a reformulated version of the poroelasticity system. Zbl 1173.74460Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Vabishchevich, P. N. 11 2007 An efficient multigrid solver based on distributive smoothing for poroelasticity equations. Zbl 1089.74051Wienands, R.; Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W. 10 2004 Optimization of the multigrid-convergence rate on semi-structured meshes by local Fourier analysis. Zbl 1319.65118Gmeiner, B.; Gradl, T.; Gaspar, F.; Rüde, U. 9 2013 Distributive smoothers in multigrid for problems with dominating \(\mathrm{grad}\)-\(\mathrm{div}\) operators. Zbl 1212.65484Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Oosterlee, C. W. 9 2008 Robust block preconditioners for Biot’s model. Zbl 1442.65342Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T. 9 2018 On geometric multigrid methods for triangular grids using three-coarsening strategy. Zbl 1171.65448Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Rodrigo, C. 8 2009 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 8 2014 Some numerical experiments with multigrid methods on Shishkin meshes. Zbl 0994.65134Gaspar, F. J.; Clavero, C.; Lisbona, F. 7 2002 TVD, WENO and blended BDF discretizations for Asian options. Zbl 1079.91039Oosterlee, C. W.; Frisch, J. C.; Gaspar, F. J. 7 2004 Multigrid finite element methods on semi-structured triangular grids for planar elasticity. Zbl 1240.74018Gaspar, F. J.; Lisbona, F. J.; Gracia, J. L.; Rodrigo, C. 7 2010 Accuracy measures and Fourier analysis for the full multigrid algorithm. Zbl 1217.65230Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W.; Yavneh, Irad 7 2010 Multigrid method for nonlinear poroelasticity equations. Zbl 1388.74013Luo, P.; Rodrigo, Carmen; Gaspar, F. J.; Oosterlee, C. W. 7 2015 On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients. Zbl 1435.65053Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 7 2019 Finite difference schemes for poro-elastic problems. Zbl 1075.76600Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 6 2002 Local Fourier analysis for cell-centered multigrid methods on triangular grids. Zbl 1291.65323Rodrigo, C.; Salinas, P.; Gaspar, F. J.; Lisbona, F. J. 6 2014 A stabilized method for a secondary consolidation Biot’s model. Zbl 1128.76043Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Vabishchevich, P. N. 6 2008 Multigrid Fourier analysis on semi-structured anisotropic meshes for vector problems. Zbl 1193.65208Gaspar, F. J.; Lisbona, F. J.; Rodrigo, C. 6 2010 Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system. Zbl 1380.76142Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. 6 2018 Uzawa smoother in multigrid for the coupled porous medium and Stokes flow system. Zbl 1422.65438Luo, Peiyao; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 6 2017 Multigrid methods on semi-structured grids. Zbl 1354.65264Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J. 6 2012 On the validity of the local Fourier analysis. Zbl 1449.65374Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T. 4 2019 Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations. Zbl 1280.65139Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 4 2012 Comparison of solvers for 2D Schrödinger problems. Zbl 1312.65133Gaspar, F. J.; Rodrigo, C.; Čiegis, R.; Mirinavičius, A. 4 2014 Explicit-implicit splitting schemes for some systems of evolutionary equations. Zbl 1310.65092Gaspar, Francisco; Grigoriev, Alexander; Vabishchevich, Petr 4 2014 Local Fourier analysis for edge-based discretization on triangular grids. Zbl 1340.65303Rodrigo, Carmen; Sanz, Francisco; Gaspar, Francisco J.; Lisbona, Francisco J. 4 2015 A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system. Zbl 1415.76603Kumar, Prashant; Luo, Peiyao; Gaspar, Francisco J.; Oosterlee, Cornelis W. 4 2018 A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Zbl 1442.65250Borregales, Manuel; Kumar, Kundan; Radu, Florin Adrian; Rodrigo, Carmen; Gaspar, Francisco José 4 2019 Efficient geometric multigrid implementation for triangular grids. Zbl 1189.65294Gaspar, Francisco; Gracia, J. L.; Lisbona, F. J.; Rodrigo, C. 3 2010 Multigrid methods and finite difference schemes for 2D singularly perturbed problems. Zbl 0978.65117Gaspar, F.; Lisbona, F.; Clavero, C. 3 2001 Finite-difference analysis of fully dynamic problems for saturated porous media. Zbl 1375.76106Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 3 2011 Finite difference analysis of a double-porosity consolidation model. Zbl 1373.76157Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 3 2012 Fourth-order compact schemes with adaptive time step for monodomain reaction-diffusion equations. Zbl 1138.65071Heidenreich, E. A.; Rodríguez, J. F.; Gaspar, F. J.; Doblaré, M. 3 2008 Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods. Zbl 1238.74012Boal, Natalia; Gaspar, Francisco José; Lisbona, Francisco; Vabishchevich, Petr 3 2012 Box relaxation schemes in staggered discretizations for the dual formulation of total variation minimization. Zbl 1373.94133Garamendi, Juan Francisco; Gaspar, Francisco José; Malpica, Norberto; Schiavi, Emanuele 3 2013 Multigrid methods for cell-centered discretizations on triangular meshes. Zbl 1313.65322Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 3 2013 Domain decomposition multigrid methods for nonlinear reaction-diffusion problems. Zbl 1304.65217Arrarás, A.; Gaspar, F. J.; Portero, L.; Rodrigo, C. 3 2015 A numerical model for the radial flow through porous and deformable shells. Zbl 1179.74169Gaspar, Francisco J.; Lisabon, Francisco J. 2 2004 Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media. Zbl 1423.76327Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen 2 2019 Multigrid finite element method on semi-structured grids for the poroelasticity problem. Zbl 1311.74122Gaspar, F. J.; Lisbona, F. J.; Rodrigo, C. 2 2010 On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. Zbl 1446.65193de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. 2 2020 Multigrid method based on a space-time approach with standard coarsening for parabolic problems. Zbl 1427.65161Franco, Sebastião Romero; Gaspar, Francisco José; Villela Pinto, Marcio Augusto; Rodrigo, Carmen 2 2018 On numerical solution of 1D poroelasticity equations in a multilayered domain. Zbl 1083.74051Naumovich, A.; Iliev, O.; Gaspar, F.; Lisbona, F.; Vabishchevich, P. 2 2005 A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L. 2 2015 Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. Zbl 1437.65131Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J. 2 2020 Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim 1 2016 Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen 1 2016 A multigrid waveform relaxation method for solving the poroelasticity equations. Zbl 1402.65177Franco, S. R.; Rodrigo, C.; Gaspar, F. J.; Pinto, M. A. V. 1 2018 Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media. Zbl 1443.76209Arrarás, Andres; Gaspar, F. J.; Portero, Laura; Rodrigo, Carmen 1 2019 Geometric multigrid methods on structured triangular grids for incompressible Navier-Stokes equations at low Reynolds numbers. Zbl 1310.65156Gaspar, F. J.; Rodrigo, C.; Heidenreich, E. 1 2014 An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids. Zbl 1416.65411Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 1 2013 New stabilized discretizations for poroelasticity equations. Zbl 1422.65256Gaspar, Francisco J.; Rodrigo, Carmen; Hu, Xiaozhe; Ohm, Peter; Adler, James; Zikatanov, Ludmil 1 2019 A parametric acceleration of multilevel Monte Carlo convergence for nonlinear variably saturated flow. Zbl 1434.76126Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 1 2020 Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T. 12 2020 On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. Zbl 1446.65193de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. 2 2020 Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. Zbl 1437.65131Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J. 2 2020 A parametric acceleration of multilevel Monte Carlo convergence for nonlinear variably saturated flow. Zbl 1434.76126Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 1 2020 A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers. Zbl 07124595De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J. 11 2019 On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients. Zbl 1435.65053Kumar, Prashant; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 7 2019 On the validity of the local Fourier analysis. Zbl 1449.65374Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T. 4 2019 A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Zbl 1442.65250Borregales, Manuel; Kumar, Kundan; Radu, Florin Adrian; Rodrigo, Carmen; Gaspar, Francisco José 4 2019 Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media. Zbl 1423.76327Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen 2 2019 Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media. Zbl 1443.76209Arrarás, Andres; Gaspar, F. J.; Portero, Laura; Rodrigo, Carmen 1 2019 New stabilized discretizations for poroelasticity equations. Zbl 1422.65256Gaspar, Francisco J.; Rodrigo, Carmen; Hu, Xiaozhe; Ohm, Peter; Adler, James; Zikatanov, Ludmil 1 2019 New stabilized discretizations for poroelasticity and the Stokes’ equations. Zbl 1440.76027Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T. 23 2018 Robust block preconditioners for Biot’s model. Zbl 1442.65342Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T. 9 2018 Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system. Zbl 1380.76142Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. 6 2018 A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system. Zbl 1415.76603Kumar, Prashant; Luo, Peiyao; Gaspar, Francisco J.; Oosterlee, Cornelis W. 4 2018 Multigrid method based on a space-time approach with standard coarsening for parabolic problems. Zbl 1427.65161Franco, Sebastião Romero; Gaspar, Francisco José; Villela Pinto, Marcio Augusto; Rodrigo, Carmen 2 2018 A multigrid waveform relaxation method for solving the poroelasticity equations. Zbl 1402.65177Franco, S. R.; Rodrigo, C.; Gaspar, F. J.; Pinto, M. A. V. 1 2018 A nonconforming finite element method for the Biot’s consolidation model in poroelasticity. Zbl 1381.76175Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T. 38 2017 Multigrid waveform relaxation for the time-fractional heat equation. Zbl 1371.65103Gaspar, Francisco J.; Rodrigo, Carmen 13 2017 On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics. Zbl 1439.74413Gaspar, Francisco J.; Rodrigo, Carmen 13 2017 On an Uzawa smoother in multigrid for poroelasticity equations. Zbl 1424.76041Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. 12 2017 Uzawa smoother in multigrid for the coupled porous medium and Stokes flow system. Zbl 1422.65438Luo, Peiyao; Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W. 6 2017 Stability and monotonicity for some discretizations of the Biot’s consolidation model. Zbl 1425.74164Rodrigo, C.; Gaspar, F. J.; Hu, X.; Zikatanov, L. T. 36 2016 On a local Fourier analysis for overlapping block smoothers on triangular grids. Zbl 1382.65419Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 11 2016 Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim 1 2016 Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen 1 2016 Multigrid method for nonlinear poroelasticity equations. Zbl 1388.74013Luo, P.; Rodrigo, Carmen; Gaspar, F. J.; Oosterlee, C. W. 7 2015 Local Fourier analysis for edge-based discretization on triangular grids. Zbl 1340.65303Rodrigo, Carmen; Sanz, Francisco; Gaspar, Francisco J.; Lisbona, Francisco J. 4 2015 Domain decomposition multigrid methods for nonlinear reaction-diffusion problems. Zbl 1304.65217Arrarás, A.; Gaspar, F. J.; Portero, L.; Rodrigo, C. 3 2015 A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L. 2 2015 A simple and efficient segregated smoother for the discrete Stokes equations. Zbl 1299.76171Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen 12 2014 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 8 2014 Local Fourier analysis for cell-centered multigrid methods on triangular grids. Zbl 1291.65323Rodrigo, C.; Salinas, P.; Gaspar, F. J.; Lisbona, F. J. 6 2014 Comparison of solvers for 2D Schrödinger problems. Zbl 1312.65133Gaspar, F. J.; Rodrigo, C.; Čiegis, R.; Mirinavičius, A. 4 2014 Explicit-implicit splitting schemes for some systems of evolutionary equations. Zbl 1310.65092Gaspar, Francisco; Grigoriev, Alexander; Vabishchevich, Petr 4 2014 Geometric multigrid methods on structured triangular grids for incompressible Navier-Stokes equations at low Reynolds numbers. Zbl 1310.65156Gaspar, F. J.; Rodrigo, C.; Heidenreich, E. 1 2014 Optimization of the multigrid-convergence rate on semi-structured meshes by local Fourier analysis. Zbl 1319.65118Gmeiner, B.; Gradl, T.; Gaspar, F.; Rüde, U. 9 2013 Box relaxation schemes in staggered discretizations for the dual formulation of total variation minimization. Zbl 1373.94133Garamendi, Juan Francisco; Gaspar, Francisco José; Malpica, Norberto; Schiavi, Emanuele 3 2013 Multigrid methods for cell-centered discretizations on triangular meshes. Zbl 1313.65322Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 3 2013 An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids. Zbl 1416.65411Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 1 2013 Multigrid methods on semi-structured grids. Zbl 1354.65264Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J. 6 2012 Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations. Zbl 1280.65139Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. 4 2012 Finite difference analysis of a double-porosity consolidation model. Zbl 1373.76157Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 3 2012 Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods. Zbl 1238.74012Boal, Natalia; Gaspar, Francisco José; Lisbona, Francisco; Vabishchevich, Petr 3 2012 Finite-difference analysis of fully dynamic problems for saturated porous media. Zbl 1375.76106Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 3 2011 Multigrid finite element methods on semi-structured triangular grids for planar elasticity. Zbl 1240.74018Gaspar, F. J.; Lisbona, F. J.; Gracia, J. L.; Rodrigo, C. 7 2010 Accuracy measures and Fourier analysis for the full multigrid algorithm. Zbl 1217.65230Rodrigo, Carmen; Gaspar, Francisco J.; Oosterlee, Cornelis W.; Yavneh, Irad 7 2010 Multigrid Fourier analysis on semi-structured anisotropic meshes for vector problems. Zbl 1193.65208Gaspar, F. J.; Lisbona, F. J.; Rodrigo, C. 6 2010 Efficient geometric multigrid implementation for triangular grids. Zbl 1189.65294Gaspar, Francisco; Gracia, J. L.; Lisbona, F. J.; Rodrigo, C. 3 2010 Multigrid finite element method on semi-structured grids for the poroelasticity problem. Zbl 1311.74122Gaspar, F. J.; Lisbona, F. J.; Rodrigo, C. 2 2010 Fourier analysis for multigrid methods on triangular grids. Zbl 1190.65181Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J. 21 2009 On geometric multigrid methods for triangular grids using three-coarsening strategy. Zbl 1171.65448Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Rodrigo, C. 8 2009 Numerical stabilization of Biot’s consolidation model by a perturbation on the flow equation. Zbl 1158.74473Aguilar, G.; Gaspar, F.; Lisbona, F.; Rodrigo, C. 20 2008 Multigrid relaxation methods for systems of saddle point type. Zbl 1148.76040Oosterlee, C. W.; Gaspar, F. J. 16 2008 Distributive smoothers in multigrid for problems with dominating \(\mathrm{grad}\)-\(\mathrm{div}\) operators. Zbl 1212.65484Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Oosterlee, C. W. 9 2008 A stabilized method for a secondary consolidation Biot’s model. Zbl 1128.76043Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Vabishchevich, P. N. 6 2008 Fourth-order compact schemes with adaptive time step for monodomain reaction-diffusion equations. Zbl 1138.65071Heidenreich, E. A.; Rodríguez, J. F.; Gaspar, F. J.; Doblaré, M. 3 2008 An efficient multigrid solver for a reformulated version of the poroelasticity system. Zbl 1173.74460Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Vabishchevich, P. N. 11 2007 Staggered grid discretizations for the quasi-static Biot’s consolidation problem. Zbl 1091.76047Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 16 2006 On numerical solution of 1D poroelasticity equations in a multilayered domain. Zbl 1083.74051Naumovich, A.; Iliev, O.; Gaspar, F.; Lisbona, F.; Vabishchevich, P. 2 2005 A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system. Zbl 1164.65344Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Wienands, R. 18 2004 An efficient multigrid solver based on distributive smoothing for poroelasticity equations. Zbl 1089.74051Wienands, R.; Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W. 10 2004 TVD, WENO and blended BDF discretizations for Asian options. Zbl 1079.91039Oosterlee, C. W.; Frisch, J. C.; Gaspar, F. J. 7 2004 A numerical model for the radial flow through porous and deformable shells. Zbl 1179.74169Gaspar, Francisco J.; Lisabon, Francisco J. 2 2004 A finite difference analysis of Biot’s consolidation model. Zbl 1023.76032Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 33 2003 Some numerical experiments with multigrid methods on Shishkin meshes. Zbl 0994.65134Gaspar, F. J.; Clavero, C.; Lisbona, F. 7 2002 Finite difference schemes for poro-elastic problems. Zbl 1075.76600Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. 6 2002 Multigrid methods and finite difference schemes for 2D singularly perturbed problems. Zbl 0978.65117Gaspar, F.; Lisbona, F.; Clavero, C. 3 2001 Multigrid line smoothers for higher order upwind discretizations of convection- dominated problems. Zbl 0908.65111Oosterlee, C. W.; Gaspar, F. J.; Washio, T.; Wienands, R. 19 1998 all cited Publications top 5 cited Publications all top 5 Cited by 448 Authors 45 Gaspar, Francisco José 37 Rodrigo, Carmen 16 Lisbona Cortés, Francisco Javier 14 Oosterlee, Cornelis Willebrordus 13 Hu, Xiaozhe 10 MacLachlan, Scott P. 9 Castelletto, Nicola 9 Vabishchevich, Pëtr Nikolaevich 8 Kumar, Kundan 8 Matus, Pëtr Paŭlavich 7 Arrarás, Andres 7 Ferronato, Massimiliano 7 Portero, Laura 7 Wheeler, Mary Fanett 7 Zikatanov, Ludmil T. 6 Adler, James H. 6 He, Yunhui 6 Hieu, Le Minh 6 Nordbotten, Jan Martin 6 Radu, Florin Adrian 6 White, Joshua A. 5 Gracia, José Luis 5 Kolesov, Aleksandr Egorovich 5 Luo, Peiyao 5 Rüde, Ulrich 5 Ruiz-Baier, Ricardo 4 Almani, Tameem 4 Both, Jakub Wiktor 4 Frigo, Matteo 4 Hong, Qingguo 4 Kraus, Johannes K. 4 Mardal, Kent-Andre 4 Notay, Yvan 4 Yotov, Ivan 3 Ai, Zhiyong 3 Chen, Luoping 3 De La Riva, Alvaro Pe 3 He, Xiaoming 3 Kumar, Prashant 3 Lymbery, Maria 3 Madden, Niall 3 Möller, Matthias 3 Nhan, Thái Anh 3 Pinto, Marcio Augusto Villela 3 Rognes, Marie E. 3 Rui, Hongxing 3 Salinas, Pablo 3 Terekhov, Kirill M. 3 Thompson, Travis B. 3 Tielen, Roel 3 Vuik, Cornelis 3 Wohlmuth, Barbara I. 3 Zhou, Zhi 2 Ager, C. 2 Benson, Thomas R. 2 Boal, Natalia 2 Boon, Wietse M. 2 Borregales, Manuel 2 Botti, Michele 2 Brown, Jed 2 Budiša, Ana 2 Chen, Gang 2 Chen, Long 2 Cyr, Eric C. 2 Di Pietro, Daniele Antonio 2 Feng, Minfu 2 Gmeiner, Björn 2 Hajibeygi, Hadi 2 Hamon, François P. 2 Jin, Bangti 2 Kahl, Karsten 2 Kardos, Peter 2 Khattatov, Eldar 2 Kintscher, Nils 2 Klevtsov, Sergey 2 Kumar, Sarvesh 2 Lee, Jeonghun J. 2 Llorente, Ignacio Martín 2 Manea, Abdulrahman 2 Manteuffel, Thomas A. 2 Montero, Ruben S. 2 Niu, Chunyan 2 Ohm, Peter 2 Oyarzúa, Ricardo 2 Palágyi, Kálmán 2 Pan, Kejia 2 Piersanti, Eleonora 2 Płociniczak, Łukasz 2 Quarteroni, Alfio M. 2 Rahrah, Menel 2 Ruge, John W. 2 Saib, Aslam Aly El Faidal 2 Salas, Manuel D. 2 Shu, Shi 2 Sochala, Pierre 2 Southworth, Ben S. 2 Takacs, Stefan 2 Tchelepi, Hamdi A. 2 Thanh, Dang Ngoc Hoang 2 Tikhovskaya, Svetlana Valer’evna ...and 348 more Authors all top 5 Cited in 69 Serials 25 Computers & Mathematics with Applications 25 SIAM Journal on Scientific Computing 18 Computer Methods in Applied Mechanics and Engineering 18 Computational Geosciences 16 Journal of Computational Physics 16 Journal of Computational and Applied Mathematics 10 Applied Numerical Mathematics 8 Applied Mathematics and Computation 8 Numerical Linear Algebra with Applications 5 Mathematical Problems in Engineering 4 Computers and Fluids 4 International Journal for Numerical Methods in Engineering 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Matrix Analysis and Applications 4 Journal of Scientific Computing 4 Numerical Algorithms 4 Advances in Applied Mathematics and Mechanics 3 Mathematics of Computation 3 BIT 3 Numerische Mathematik 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Advances in Computational Mathematics 2 Computational Methods in Applied Mathematics 2 GEM - International Journal on Geomathematics 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 Vestnik St. Petersburg University. Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Mathematics and Artificial Intelligence 1 Engineering Analysis with Boundary Elements 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Lobachevskii Journal of Mathematics 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Geosciences 1 Journal of Mathematics in Industry 1 S\(\vec{\text{e}}\)MA Journal 1 East Asian Journal on Applied Mathematics 1 Computational Methods for Differential Equations 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 25 Fields 228 Numerical analysis (65-XX) 118 Fluid mechanics (76-XX) 74 Mechanics of deformable solids (74-XX) 64 Partial differential equations (35-XX) 13 Geophysics (86-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Computer science (68-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year