Edit Profile (opens in new tab) Bermejo, Rodolfo Compute Distance To: Compute Author ID: bermejo.rodolfo Published as: Bermejo, Rodolfo; Bermejo, R.; Bermejo, Roldolfo more...less External Links: MGP Documents Indexed: 47 Publications since 1989 Co-Authors: 23 Co-Authors with 39 Joint Publications 393 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Carpio, Jaime 10 Saavedra, Laura 6 Galán del Sastre, Pedro 5 Prieto, Juan Luis 3 Colera, Manuel 3 Laso, Manuel 2 Allievi, Alejandro 2 Del Sastre, P. Galán 2 Díaz Díaz, Jesús Ildefonso 2 Ilg, Patrick 1 Alonso, Antonio A. 1 Cantón, Rafael 1 Conde, Justo 1 El-Amrani, Mofdi 1 González Gutiérrez, Leo Miguel 1 Infante, Juan-Antonio 1 Leguillon, Dominique 1 Martin, Eric 1 Pájaro, Manuel 1 Seaïd, Mohammed 1 Ševeçek, O. 1 Tello, Lourdes 1 Vázquez Cendón, Carlos all top 5 Serials 5 Numerische Mathematik 5 SIAM Journal on Scientific Computing 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Journal of Non-Newtonian Fluid Mechanics 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Applied Mathematics and Computation 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Mechanics. A. Solids 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Communications in Applied and Industrial Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA all top 5 Fields 37 Numerical analysis (65-XX) 22 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 7 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 303 times in 193 Documents Cited by ▼ Year ▼ Finite element modified method of characteristics for the Navier-Stokes equations. Zbl 0955.76048Allievi, Alejandro; Bermejo, Rodolfo 35 2000 A generalized particle search-locate algorithm for arbitrary grids. Zbl 0891.65125Allievi, Alejandro; Bermejo, Rodolfo 31 1997 A second order in time modified Lagrange–Galerkin finite element method for the incompressible Navier-Stokes equations. Zbl 1263.76040Bermejo, R.; Galán Del Sastre, P.; Saavedra, L. 31 2012 A Galerkin-characteristic algorithm for transport-diffusion equations. Zbl 0854.65083Bermejo, Rodolfo 20 1995 Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems. Zbl 1259.65146Bermejo, Rodolfo; Saavedra, Laura 18 2012 A multigrid algorithm for the \(p\)-Laplacian. Zbl 0958.65132Bermejo, Rodolfo; Infante, Juan-Antonio 15 2000 Anisotropic “goal-oriented” mesh adaptivity for elliptic problems. Zbl 1266.65189Carpio, Jaime; Prieto, Juan Luis; Bermejo, Rodolfo 12 2013 Analysis of an algorithm for the Galerkin-characteristic method. Zbl 0723.65073Bermejo, Rodolfo 11 1991 A semi-Lagrangian-Galerkin projection scheme for convection equations. Zbl 1198.65190Bermejo, R.; Carpio, J. 11 2010 Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model. Zbl 1165.86303Bermejo, R.; Carpio, J.; Diaz, J. I.; Tello, L. 10 2009 An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. Zbl 1128.65073Bermejo, R.; Carpio, J. 10 2007 A finite element semi-Lagrangian explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. Zbl 1029.65114Bermejo, Rodolfo; El Amrani, Mofdi 9 2003 Modified Lagrange-Galerkin methods to integrate time dependent incompressible Navier-Stokes equations. Zbl 1327.65169Bermejo, R.; Saavedra, L. 8 2015 Error estimates of proper orthogonal decomposition eigenvectors and Galerkin projection for a general dynamical system arising in fluid models. Zbl 1141.76036Galán del Sastre, Pedro; Bermejo, Rodolfo 8 2008 Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems. Zbl 1242.65184Galán del Sastre, Pedro; Bermejo, Rodolfo 8 2011 A space-time adaptive finite element algorithm based on dual weighted residual methodology for parabolic equations. Zbl 1200.65079Bermejo, R.; Carpio, J. 8 2009 Lagrange-Galerkin methods for the incompressible Navier-Stokes equations: a review. Zbl 1398.76095Bermejo, Rodolfo; Saavedra, Laura 7 2016 A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers. Zbl 1404.65159Bermejo, R.; Saavedra, L. 7 2016 A semi-Lagrangian level set method for incompressible Navier-Stokes equations with free surface. Zbl 1177.76286González Gutiérrez, Leo Miguel; Bermejo, Rodolfo 6 2005 A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws. Zbl 1506.76068Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo 5 2021 Analysis of a class of quasi-monotone and conservative semi-Lagrangian advection schemes. Zbl 0988.65087Bermejo, Rodolfo 4 2001 Local projection stabilized Lagrange-Galerkin methods for Navier-Stokes equations at high Reynolds numbers. Zbl 1435.76035Bermejo, R.; Saavedra, L. 3 2018 A comparison of semi-Lagrangian and Lagrange-Galerkin hp-FEM methods in convection-diffusion problems. Zbl 1364.76084Del Sastre, Pedro Galán; Bermejo, Rodolfo 3 2011 A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields. Zbl 1506.65150Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo 3 2020 A semi-Lagrangian particle level set finite element method for interface problems. Zbl 1362.65102Bermejo, Rodolfo; Prieto, Juan Luis 3 2013 A subgrid viscosity Lagrange-Galerkin method for convection-diffusion problems. Zbl 1310.65121Bermejo, Rodolfo; Galán del Sastre, Pedro; Saavedra, Laura 3 2014 A finite element algorithm of a nonlinear diffusive climate energy balance model. Reprint of Pure and Applied Geophysics 165, No. 6 (2008). Zbl 1191.86012Bermejo, R.; Carpio, J.; Díaz, J. I.; Del Sastre, P. Galán 3 2008 An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations. Zbl 1428.78029Bermejo, R.; del Sastre, P. Galán 2 2019 Numerical analysis of a method for a partial integro-differential equation model in regulatory gene networks. Zbl 1411.65123Alonso, Antonio A.; Bermejo, Rodolfo; Pájaro, Manuel; Vázquez, Carlos 2 2018 A semi-Lagrangian micro-macro method for viscoelastic flow calculations. Zbl 1274.76257Prieto, Juan Luis; Bermejo, Rodolfo; Laso, Manuel 2 2010 Numerical studies of the long-term dynamics of the 2D Navier-Stokes equations applied to ocean circulation. Zbl 1065.86001Bermejo, Rodolfo; del Sastre, Pedro Galán 1 2001 Application of the coupled stress-energy criterion to predict the fracture behaviour of layered ceramics designed with internal compressive stresses. Zbl 1406.74594Leguillon, Dominique; Martin, E.; Ševeček, O.; Bermejo, R. 1 2015 Stochastic semi-Lagrangian micro-macro calculations of liquid crystalline solutions in complex flows. Zbl 1274.76151Prieto, Juan Luis; Ilg, Patrick; Bermejo, Rodolfo; Laso, Manuel 1 2010 A stochastic semi-Lagrangian micro-macro model for liquid crystalline solutions. Zbl 1183.82098Bermejo, Rodolfo; Prieto, Juan Luis; Ilg, Patrick; Laso, Manuel 1 2009 A finite-element model of two-layer ocean circulation. Zbl 0711.76062Bermejo, R. 1 1990 A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws. Zbl 1506.76068Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo 5 2021 A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields. Zbl 1506.65150Colera, Manuel; Carpio, Jaime; Bermejo, Rodolfo 3 2020 An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations. Zbl 1428.78029Bermejo, R.; del Sastre, P. Galán 2 2019 Local projection stabilized Lagrange-Galerkin methods for Navier-Stokes equations at high Reynolds numbers. Zbl 1435.76035Bermejo, R.; Saavedra, L. 3 2018 Numerical analysis of a method for a partial integro-differential equation model in regulatory gene networks. Zbl 1411.65123Alonso, Antonio A.; Bermejo, Rodolfo; Pájaro, Manuel; Vázquez, Carlos 2 2018 Lagrange-Galerkin methods for the incompressible Navier-Stokes equations: a review. Zbl 1398.76095Bermejo, Rodolfo; Saavedra, Laura 7 2016 A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers. Zbl 1404.65159Bermejo, R.; Saavedra, L. 7 2016 Modified Lagrange-Galerkin methods to integrate time dependent incompressible Navier-Stokes equations. Zbl 1327.65169Bermejo, R.; Saavedra, L. 8 2015 Application of the coupled stress-energy criterion to predict the fracture behaviour of layered ceramics designed with internal compressive stresses. Zbl 1406.74594Leguillon, Dominique; Martin, E.; Ševeček, O.; Bermejo, R. 1 2015 A subgrid viscosity Lagrange-Galerkin method for convection-diffusion problems. Zbl 1310.65121Bermejo, Rodolfo; Galán del Sastre, Pedro; Saavedra, Laura 3 2014 Anisotropic “goal-oriented” mesh adaptivity for elliptic problems. Zbl 1266.65189Carpio, Jaime; Prieto, Juan Luis; Bermejo, Rodolfo 12 2013 A semi-Lagrangian particle level set finite element method for interface problems. Zbl 1362.65102Bermejo, Rodolfo; Prieto, Juan Luis 3 2013 A second order in time modified Lagrange–Galerkin finite element method for the incompressible Navier-Stokes equations. Zbl 1263.76040Bermejo, R.; Galán Del Sastre, P.; Saavedra, L. 31 2012 Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems. Zbl 1259.65146Bermejo, Rodolfo; Saavedra, Laura 18 2012 Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems. Zbl 1242.65184Galán del Sastre, Pedro; Bermejo, Rodolfo 8 2011 A comparison of semi-Lagrangian and Lagrange-Galerkin hp-FEM methods in convection-diffusion problems. Zbl 1364.76084Del Sastre, Pedro Galán; Bermejo, Rodolfo 3 2011 A semi-Lagrangian-Galerkin projection scheme for convection equations. Zbl 1198.65190Bermejo, R.; Carpio, J. 11 2010 A semi-Lagrangian micro-macro method for viscoelastic flow calculations. Zbl 1274.76257Prieto, Juan Luis; Bermejo, Rodolfo; Laso, Manuel 2 2010 Stochastic semi-Lagrangian micro-macro calculations of liquid crystalline solutions in complex flows. Zbl 1274.76151Prieto, Juan Luis; Ilg, Patrick; Bermejo, Rodolfo; Laso, Manuel 1 2010 Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model. Zbl 1165.86303Bermejo, R.; Carpio, J.; Diaz, J. I.; Tello, L. 10 2009 A space-time adaptive finite element algorithm based on dual weighted residual methodology for parabolic equations. Zbl 1200.65079Bermejo, R.; Carpio, J. 8 2009 A stochastic semi-Lagrangian micro-macro model for liquid crystalline solutions. Zbl 1183.82098Bermejo, Rodolfo; Prieto, Juan Luis; Ilg, Patrick; Laso, Manuel 1 2009 Error estimates of proper orthogonal decomposition eigenvectors and Galerkin projection for a general dynamical system arising in fluid models. Zbl 1141.76036Galán del Sastre, Pedro; Bermejo, Rodolfo 8 2008 A finite element algorithm of a nonlinear diffusive climate energy balance model. Reprint of Pure and Applied Geophysics 165, No. 6 (2008). Zbl 1191.86012Bermejo, R.; Carpio, J.; Díaz, J. I.; Del Sastre, P. Galán 3 2008 An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. Zbl 1128.65073Bermejo, R.; Carpio, J. 10 2007 A semi-Lagrangian level set method for incompressible Navier-Stokes equations with free surface. Zbl 1177.76286González Gutiérrez, Leo Miguel; Bermejo, Rodolfo 6 2005 A finite element semi-Lagrangian explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. Zbl 1029.65114Bermejo, Rodolfo; El Amrani, Mofdi 9 2003 Analysis of a class of quasi-monotone and conservative semi-Lagrangian advection schemes. Zbl 0988.65087Bermejo, Rodolfo 4 2001 Numerical studies of the long-term dynamics of the 2D Navier-Stokes equations applied to ocean circulation. Zbl 1065.86001Bermejo, Rodolfo; del Sastre, Pedro Galán 1 2001 Finite element modified method of characteristics for the Navier-Stokes equations. Zbl 0955.76048Allievi, Alejandro; Bermejo, Rodolfo 35 2000 A multigrid algorithm for the \(p\)-Laplacian. Zbl 0958.65132Bermejo, Rodolfo; Infante, Juan-Antonio 15 2000 A generalized particle search-locate algorithm for arbitrary grids. Zbl 0891.65125Allievi, Alejandro; Bermejo, Rodolfo 31 1997 A Galerkin-characteristic algorithm for transport-diffusion equations. Zbl 0854.65083Bermejo, Rodolfo 20 1995 Analysis of an algorithm for the Galerkin-characteristic method. Zbl 0723.65073Bermejo, Rodolfo 11 1991 A finite-element model of two-layer ocean circulation. Zbl 0711.76062Bermejo, R. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 307 Authors 18 Bermejo, Rodolfo 18 Seaïd, Mohammed 17 El-Amrani, Mofdi 13 Si, Zhiyong 9 Carpio, Jaime 9 Saavedra, Laura 7 He, Yinnian 7 Prieto, Juan Luis 6 Kim, Philsu 5 Iliescu, Traian 5 Khouya, Bassou 5 Wang, Yunxia 4 Bak, Soyoon 4 Díaz Díaz, Jesús Ildefonso 4 Feng, Xinlong 4 Fu, Kai 4 Liang, Dong 4 Piao, Xiangfan 4 Sonnendrücker, Eric 3 Bertrand, Pierre 3 Ching, Eric J. 3 Colera, Manuel 3 Dolejší, Vít 3 Ghizzo, Alain 3 Ihme, Matthias 3 Kacur, Jozef 3 Kim, Dojin 3 Li, Buyang 3 Notsu, Hirofumi 3 Ouardghi, Abdelouahed 3 Singler, John R. 3 Tabata, Masahisa 3 Uchiumi, Shinya 3 Van Keer, Roger 3 Zhou, Zhongguo 2 Bu, Sunyoung 2 Busto, Saray 2 Cao, Luling 2 Crouseilles, Nicolas 2 de Frutos, Javier 2 Ferretti, Roberto Giorgio 2 Ferrín, Jose Luis 2 Foster, Erich L. 2 Galán del Sastre, Pedro 2 García-Archilla, Bosco 2 Gimenez, Juan Marcelo 2 Giraldo, Francis X. 2 González Andrade, Sergio 2 Guo, Daniel X. 2 Hidalgo, Arturo 2 Huot, F. 2 Karniadakis, George Em 2 Laso, Manuel 2 Latu, Guillaume 2 Lei, Yanfang 2 Li, Jian 2 Li, Kaitai 2 Liu, Cui 2 Liu, Steve Wenbin 2 Ma, Shu 2 May, Georg 2 Novo, Julia 2 Pan, Hao 2 Qian, Lingzhi 2 Quarteroni, Alfio M. 2 Rangarajan, Ajay Mandyam 2 Roskovec, Filip 2 Shuker Mahmood, Mohammed 2 Tello, Lourdes 2 Toro, Eleuterio Francisco 2 van der Zee, Kristoffer George 2 Vázquez-Cendón, María Elena 2 Wang, Yan 2 Wells, David R. 2 Xiu, Dongbin 2 Yang, Yang 2 Zhang, Tong 1 Afshari, Faraz 1 Aguerre, Horacio J. 1 Ahmed, Manzoor 1 Allmaras, Steven R. 1 Alvarez, Felipe 1 Arora, Rakesh 1 Asmouh, Ilham 1 Barnhardt, Michael 1 Bartoš, Ondřej 1 Benkhaldoun, Fayssal 1 Bermúdez, Alfredo 1 Besse, Nicolas 1 Bi, Chunjia 1 Biezuner, Rodney Josué 1 Blasco, Jordi 1 Bokes, Pavol 1 Bonaventura, Luca 1 Boscheri, Walter 1 Braack, Malte 1 Brill, Steven R. 1 Brown, Jed 1 Caliari, Marco 1 Canon, Éric ...and 207 more Authors all top 5 Cited in 68 Serials 31 Journal of Computational Physics 13 Journal of Scientific Computing 12 Computer Methods in Applied Mechanics and Engineering 11 Journal of Computational and Applied Mathematics 8 Numerische Mathematik 8 SIAM Journal on Scientific Computing 7 Computers & Mathematics with Applications 7 Applied Numerical Mathematics 5 Applied Mathematics and Computation 4 SIAM Journal on Numerical Analysis 4 International Journal of Computer Mathematics 4 Advances in Applied Mathematics and Mechanics 3 Mathematics and Computers in Simulation 3 Advances in Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Journal of Non-Newtonian Fluid Mechanics 2 Electronic Journal of Differential Equations (EJDE) 2 International Journal of Computational Fluid Dynamics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Applied and Industrial Mathematics 2 S\(\vec{\text{e}}\)MA Journal 1 Modern Physics Letters B 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Computational Fluid Dynamics 1 Calcolo 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Physica D 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Applied Mathematical Finance 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Journal of Inequalities and Applications 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Advances in Nonlinear Analysis 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics all top 5 Cited in 26 Fields 152 Numerical analysis (65-XX) 117 Fluid mechanics (76-XX) 72 Partial differential equations (35-XX) 13 Geophysics (86-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year