Edit Profile (opens in new tab) Cortez, Ricardo Co-Author Distance Author ID: cortez.ricardo Published as: Cortez, Ricardo; Cortez, R. Documents Indexed: 45 Publications since 1996, including 2 Additional arXiv Preprints Co-Authors: 46 Co-Authors with 32 Joint Publications 594 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Fauci, Lisa J. 4 Varela, Douglas 3 Wróbel, Jacek K. 2 Cummins, Bree 2 Hoffmann, Franz 2 Leiderman, Karin M. 2 Minion, Michael L. 2 Olson, Sarah D. 2 Tlupova, Svetlana 1 Ahmadi, Ehsan 1 Ainley, Josephine 1 Aranda, Vivian 1 Ardila, Federico 1 Barrett, Aaron 1 Bishop, T. C. 1 Boindala, Priya 1 Bouzarth, Elizabeth L. 1 Brown, David Leslie 1 Carvalho, Camille 1 Chrispell, J. C. 1 Dillon, Robert H. 1 Durkin, Sandra 1 Embid, Rafael 1 Ferranti, Dana 1 Flores, Heather 1 Gaver, Donald Paul III 1 Gedeon, Tomáš 1 Hamlington, K. L. 1 Hoover, Alexander P. 1 Khatri, Shilpa 1 Khismatullin, Damir B. 1 Kim, Arnold D. 1 Klapper, Isaac 1 Kwan, Yuen-Yick 1 LaGrone, John 1 Layton, Anita T. 1 Lim, Sookkyung 1 Lobaton, Edgar J. 1 Lynch, Sabrina R. 1 Mannan, Forest O. 1 Medovikov, Alexei A. 1 Mendez-Diez, Stefan 1 Nguyen, Hoang-Ngan 1 Nicholas, Michael J. 1 Ortiz, Ricardo 1 Peskin, Charles S. 1 Simons, Julie E. 1 Stockie, John M. 1 Tytell, Eric D. 1 Varela, D. A. 1 Yan, Wen 1 Zhmudsky, O. O. 1 Zhuo, Jingxuan all top 5 Serials 16 Journal of Computational Physics 4 Journal of Fluid Mechanics 4 Communications in Computational Physics 3 SIAM Journal on Scientific Computing 3 Physics of Fluids 2 Bulletin of Mathematical Biology 2 Notices of the American Mathematical Society 2 Journal of Theoretical Biology 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Physica D 1 SIAM Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications in Applied Mathematics and Computational Science all top 5 Fields 31 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 7 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 878 times in 605 Documents Cited by ▼ Year ▼ Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339 Brown, David L.; Cortez, Ricardo; Minion, Michael L. 304 2001 The method of regularized stokeslets. Zbl 1064.76080 Cortez, Ricardo 120 2001 The method of regularized stokeslets in three dimensions: analysis, validation, and application to helical swimming. Zbl 1187.76105 Cortez, Ricardo; Fauci, Lisa; Medovikov, Alexei 88 2005 Boundary integral solutions of coupled Stokes and Darcy flows. Zbl 1188.76232 Tlupova, Svetlana; Cortez, Ricardo 43 2009 The blob projection method for immersed boundary problems. Zbl 0962.74078 Cortez, R.; Minion, M. 41 2000 The method of images for regularized Stokeslets. Zbl 1388.76060 Ainley, Josephine; Durkin, Sandra; Embid, Rafael; Boindala, Priya; Cortez, Ricardo 36 2008 A study of bacterial flagellar bundling. Zbl 1334.92029 Flores, Heather; Lobaton, Edgar; Méndez-Diez, Stefan; Tlupova, Svetlana; Cortez, Ricardo 30 2005 Modeling physiological resistance in bacterial biofilms. Zbl 1334.92255 Cogan, N. G.; Cortez, Ricardo; Fauci, Lisa 24 2005 Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a regularized Stokes formulation. Zbl 1286.74122 Olson, Sarah D.; Lim, Sookkyung; Cortez, Ricardo 20 2013 Parametric resonance in immersed elastic boundaries. Zbl 1074.74024 Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas 14 2004 Swimming performance, resonance and shape evolution in heaving flexible panels. Zbl 1404.76311 Hoover, Alexander P.; Cortez, Ricardo; Tytell, Eric D.; Fauci, Lisa J. 13 2018 An impulse-based approximation of fluid motion due to boundary forces. Zbl 0847.76064 Cortez, Ricardo 13 1996 A general system of images for regularized stokeslets and other elements near a plane wall. Zbl 1351.76022 Cortez, Ricardo; Varela, Douglas 13 2015 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055 Cortez, Ricardo; Nicholas, Michael 13 2012 Reduction of the regularization error of the method of regularized stokeslets for a rigid object immersed in a three-dimensional Stokes flow. Zbl 1373.76152 Nguyen, Hoang-Ngan; Cortez, Ricardo 11 2014 A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D. Zbl 1349.76596 Cortez, Ricardo; Hoffmann, Franz 10 2014 The dynamics of sperm detachment from epithelium in a coupled fluid-biochemical model of hyperactivated motility. Zbl 1412.92012 Simons, Julie; Olson, Sarah; Cortez, Ricardo; Fauci, Lisa 9 2014 Regularized Stokeslet segments. Zbl 1416.76208 Cortez, Ricardo 9 2018 Investigation of bend and shear waves in a geometrically exact elastic rod model. Zbl 1109.74336 Bishop, T. C.; Cortez, R.; Zhmudsky, O. O. 8 2004 Computation of three-dimensional Brinkman flows using regularized methods. Zbl 1425.76238 Cortez, Ricardo; Cummins, Bree; Leiderman, Karin; Varela, Douglas 8 2010 Enhanced flagellar swimming through a compliant viscoelastic network in Stokes flow. Zbl 1381.76438 Wróbel, Jacek K.; Lynch, Sabrina; Barrett, Aaron; Fauci, Lisa; Cortez, Ricardo 7 2016 A regularization method for the numerical solution of periodic Stokes flow. Zbl 1286.76043 Leiderman, Karin; Bouzarth, Elizabeth L.; Cortez, Ricardo; Layton, Anita T. 7 2013 Convergence of high-order deterministic particle methods for the convection-diffusion equation. Zbl 0904.65140 Cortez, Ricardo 6 1997 Modeling viscoelastic networks in Stokes flow. Zbl 1323.76132 Wróbel, Jacek K.; Cortez, Ricardo; Fauci, Lisa 6 2014 The action of waving cylindrical rings in a viscous fluid. Zbl 1225.76323 Nguyen, Hoa; Ortiz, Ricardo; Cortez, Ricardo; Fauci, Lisa 6 2011 On the accuracy of impulse methods for fluid flow. Zbl 0956.76067 Cortez, Ricardo 5 1998 Shape oscillations of a droplet in an Oldroyd-B fluid. Zbl 1375.76018 Chrispell, J. C.; Cortez, R.; Khismatullin, D. B.; Fauci, L. J. 5 2011 The dynamics of an elastic membrane using the impulse method. Zbl 0910.73035 Cortez, R.; Varela, D. A. 4 1997 Boundary integral formulation for flows containing an interface between two porous media. Zbl 1383.76360 Ahmadi, E.; Cortez, R.; Fujioka, H. 4 2017 Interaction between arthropod filiform hairs in a fluid environment. Zbl 1455.92012 Cummins, Bree; Gedeon, Tomáš; Klapper, Isaac; Cortez, Ricardo 3 2007 Close evaluation of layer potentials in three dimensions. Zbl 07508414 Khatri, Shilpa; Kim, Arnold D.; Cortez, Ricardo; Carvalho, Camille 3 2020 Numerical computation of doubly-periodic Stokes flow bounded by a plane with applications to nodal cilia. Zbl 1488.76033 Hoffmann, Franz; Cortez, Ricardo 3 2017 Stokesian peristaltic pumping in a three-dimensional tube with a phase-shifted asymmetry. Zbl 1308.76343 Aranda, Vivian; Cortez, Ricardo; Fauci, Lisa 2 2011 Computing flows around microorganisms: slender-body theory and beyond. Zbl 1327.92011 Nguyen, Hoa; Cortez, Ricardo; Fauci, Lisa 2 2014 An explicit formula for two-dimensional singly-periodic regularized stokeslets flow bounded by a plane wall. Zbl 1488.76035 Mannan, Forest O.; Cortez, Ricardo 2 2018 A vortex/impulse method for immersed boundary motion in high Reynolds number flows. Zbl 0964.76067 Cortez, Ricardo 1 2000 Regularized image system for Stokes flow outside a solid sphere. Zbl 1349.76948 Wróbel, Jacek K.; Cortez, Ricardo; Varela, Douglas; Fauci, Lisa 1 2016 Evaluation of grid-based and grid-free methods to model microchannel transport-reaction. Zbl 1362.65113 Hamlington, K. L.; Kwan, Y.-Y.; Fujioka, H.; Cortez, R.; Gaver, D. P. III 1 2013 Close evaluation of layer potentials in three dimensions. Zbl 07508414 Khatri, Shilpa; Kim, Arnold D.; Cortez, Ricardo; Carvalho, Camille 3 2020 Swimming performance, resonance and shape evolution in heaving flexible panels. Zbl 1404.76311 Hoover, Alexander P.; Cortez, Ricardo; Tytell, Eric D.; Fauci, Lisa J. 13 2018 Regularized Stokeslet segments. Zbl 1416.76208 Cortez, Ricardo 9 2018 An explicit formula for two-dimensional singly-periodic regularized stokeslets flow bounded by a plane wall. Zbl 1488.76035 Mannan, Forest O.; Cortez, Ricardo 2 2018 Boundary integral formulation for flows containing an interface between two porous media. Zbl 1383.76360 Ahmadi, E.; Cortez, R.; Fujioka, H. 4 2017 Numerical computation of doubly-periodic Stokes flow bounded by a plane with applications to nodal cilia. Zbl 1488.76033 Hoffmann, Franz; Cortez, Ricardo 3 2017 Enhanced flagellar swimming through a compliant viscoelastic network in Stokes flow. Zbl 1381.76438 Wróbel, Jacek K.; Lynch, Sabrina; Barrett, Aaron; Fauci, Lisa; Cortez, Ricardo 7 2016 Regularized image system for Stokes flow outside a solid sphere. Zbl 1349.76948 Wróbel, Jacek K.; Cortez, Ricardo; Varela, Douglas; Fauci, Lisa 1 2016 A general system of images for regularized stokeslets and other elements near a plane wall. Zbl 1351.76022 Cortez, Ricardo; Varela, Douglas 13 2015 Reduction of the regularization error of the method of regularized stokeslets for a rigid object immersed in a three-dimensional Stokes flow. Zbl 1373.76152 Nguyen, Hoang-Ngan; Cortez, Ricardo 11 2014 A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D. Zbl 1349.76596 Cortez, Ricardo; Hoffmann, Franz 10 2014 The dynamics of sperm detachment from epithelium in a coupled fluid-biochemical model of hyperactivated motility. Zbl 1412.92012 Simons, Julie; Olson, Sarah; Cortez, Ricardo; Fauci, Lisa 9 2014 Modeling viscoelastic networks in Stokes flow. Zbl 1323.76132 Wróbel, Jacek K.; Cortez, Ricardo; Fauci, Lisa 6 2014 Computing flows around microorganisms: slender-body theory and beyond. Zbl 1327.92011 Nguyen, Hoa; Cortez, Ricardo; Fauci, Lisa 2 2014 Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a regularized Stokes formulation. Zbl 1286.74122 Olson, Sarah D.; Lim, Sookkyung; Cortez, Ricardo 20 2013 A regularization method for the numerical solution of periodic Stokes flow. Zbl 1286.76043 Leiderman, Karin; Bouzarth, Elizabeth L.; Cortez, Ricardo; Layton, Anita T. 7 2013 Evaluation of grid-based and grid-free methods to model microchannel transport-reaction. Zbl 1362.65113 Hamlington, K. L.; Kwan, Y.-Y.; Fujioka, H.; Cortez, R.; Gaver, D. P. III 1 2013 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055 Cortez, Ricardo; Nicholas, Michael 13 2012 The action of waving cylindrical rings in a viscous fluid. Zbl 1225.76323 Nguyen, Hoa; Ortiz, Ricardo; Cortez, Ricardo; Fauci, Lisa 6 2011 Shape oscillations of a droplet in an Oldroyd-B fluid. Zbl 1375.76018 Chrispell, J. C.; Cortez, R.; Khismatullin, D. B.; Fauci, L. J. 5 2011 Stokesian peristaltic pumping in a three-dimensional tube with a phase-shifted asymmetry. Zbl 1308.76343 Aranda, Vivian; Cortez, Ricardo; Fauci, Lisa 2 2011 Computation of three-dimensional Brinkman flows using regularized methods. Zbl 1425.76238 Cortez, Ricardo; Cummins, Bree; Leiderman, Karin; Varela, Douglas 8 2010 Boundary integral solutions of coupled Stokes and Darcy flows. Zbl 1188.76232 Tlupova, Svetlana; Cortez, Ricardo 43 2009 The method of images for regularized Stokeslets. Zbl 1388.76060 Ainley, Josephine; Durkin, Sandra; Embid, Rafael; Boindala, Priya; Cortez, Ricardo 36 2008 Interaction between arthropod filiform hairs in a fluid environment. Zbl 1455.92012 Cummins, Bree; Gedeon, Tomáš; Klapper, Isaac; Cortez, Ricardo 3 2007 The method of regularized stokeslets in three dimensions: analysis, validation, and application to helical swimming. Zbl 1187.76105 Cortez, Ricardo; Fauci, Lisa; Medovikov, Alexei 88 2005 A study of bacterial flagellar bundling. Zbl 1334.92029 Flores, Heather; Lobaton, Edgar; Méndez-Diez, Stefan; Tlupova, Svetlana; Cortez, Ricardo 30 2005 Modeling physiological resistance in bacterial biofilms. Zbl 1334.92255 Cogan, N. G.; Cortez, Ricardo; Fauci, Lisa 24 2005 Parametric resonance in immersed elastic boundaries. Zbl 1074.74024 Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas 14 2004 Investigation of bend and shear waves in a geometrically exact elastic rod model. Zbl 1109.74336 Bishop, T. C.; Cortez, R.; Zhmudsky, O. O. 8 2004 Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339 Brown, David L.; Cortez, Ricardo; Minion, Michael L. 304 2001 The method of regularized stokeslets. Zbl 1064.76080 Cortez, Ricardo 120 2001 The blob projection method for immersed boundary problems. Zbl 0962.74078 Cortez, R.; Minion, M. 41 2000 A vortex/impulse method for immersed boundary motion in high Reynolds number flows. Zbl 0964.76067 Cortez, Ricardo 1 2000 On the accuracy of impulse methods for fluid flow. Zbl 0956.76067 Cortez, Ricardo 5 1998 Convergence of high-order deterministic particle methods for the convection-diffusion equation. Zbl 0904.65140 Cortez, Ricardo 6 1997 The dynamics of an elastic membrane using the impulse method. Zbl 0910.73035 Cortez, R.; Varela, D. A. 4 1997 An impulse-based approximation of fluid motion due to boundary forces. Zbl 0847.76064 Cortez, Ricardo 13 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,085 Authors 22 Cortez, Ricardo 15 Fauci, Lisa J. 14 Lai, Mingchih 12 Smith, David J. 11 Khoo, Boo Cheong 10 Griffith, Boyce E. 10 He, Xiaoming 9 Le, Duc-Vinh 9 Li, Zhilin 8 Gaffney, Eamonn A. 8 Leiderman, Karin M. 8 Li, Jian 8 Li, Rui 8 Olson, Sarah D. 8 Peskin, Charles S. 7 Chen, Zhangxin 7 Guy, Robert D. 7 Minion, Michael L. 7 Tlupova, Svetlana 6 Beale, J. Thomas 6 Bhalla, Amneet Pal Singh 6 Fogelson, Aaron L. 6 Guermond, Jean-Luc 6 Ishimoto, Kenta 6 Shelley, Michael J. 6 Tan, Zhijun 6 Yeo, Khoon Seng 5 Gao, Yali 5 Gibou, Frédéric 5 Layton, Anita T. 5 Lim, Kian-Meng 5 Min, Chohong 5 Prosperetti, Andrea 5 San, Omer 5 Shen, Jie 5 Stockie, John M. 5 Summers, David M. 4 Belliard, Michel 4 Bouzarth, Elizabeth L. 4 Dong, Suchuan 4 Eberl, Hermann J. 4 Greengard, Leslie F. 4 Keaveny, Eric E. 4 Kim, Yongsam 4 Lowengrub, John Samuel 4 Miller, Laura A. 4 Povitsky, Alex 4 Rebholz, Leo G. 4 Stotsky, Jay Alexander 4 Vengadesan, S. N. 4 Ying, Wenjun 4 Zhu, Luoding 3 Ang, S. J. 3 Angot, Philippe 3 Blake, John Robert 3 Bortz, David M. 3 Chew, Choon Seng 3 Chrispell, J. C. 3 Colella, Phillip 3 Colonius, Tim 3 Cuminato, José Alberto 3 Fernandez-Feria, Ramon 3 Ferrante, Antonino 3 Glazunov, Andrey V. 3 Gunzburger, Max D. 3 Klein, Rupert 3 Krasny, Robert 3 Lauga, Eric 3 Lee, Byungjoon 3 Lin, Lianlei 3 Liu, Jianguo 3 Maitre, Emmanuel 3 Mikhaylenko, Maxim A. 3 Mori, Yoichiro 3 Mortikov, Evgeny V. 3 Nguyen, Hoang-Ngan 3 Nithiarasu, Perumal 3 Oishi, Cassio M. 3 Park, Yesom 3 Perezhogin, Pavel Aleksandrovich 3 Rosales, Rodolfo Ruben 3 Rostami, Minghao W. 3 Rycroft, Chris H. 3 Saye, Robert I. 3 Shu, Chang 3 Sierakowski, Adam J. 3 Sotiropoulos, Fotis 3 Tseng, Yu-Hau 3 Varela, Douglas 3 Walker, Benjamin J. 3 Wang, Lei 3 Wang, Z. Jane 3 Wendland, Holger 3 Wróbel, Jacek K. 3 Xu, Sheng 3 Yang, Xiaofeng 3 Zhu, Zuojin 2 Abdelsamie, Abouelmagd 2 Al Mahbub, Md. Abdullah 2 Alizard, Frédéric ...and 985 more Authors all top 5 Cited in 83 Serials 182 Journal of Computational Physics 61 Journal of Fluid Mechanics 47 Computers and Fluids 29 Computer Methods in Applied Mechanics and Engineering 18 Computers & Mathematics with Applications 17 Physics of Fluids 13 Engineering Analysis with Boundary Elements 13 Journal of Theoretical Biology 12 Journal of Scientific Computing 11 Bulletin of Mathematical Biology 10 Applied Numerical Mathematics 10 SIAM Journal on Scientific Computing 8 International Journal for Numerical Methods in Fluids 8 Communications in Computational Physics 7 Mathematics of Computation 7 Applied Mathematics and Computation 7 International Journal for Numerical Methods in Engineering 7 Journal of Computational and Applied Mathematics 7 International Journal of Numerical Methods for Heat & Fluid Flow 6 International Journal of Computational Fluid Dynamics 5 Journal of Mathematical Biology 5 Mathematical Biosciences 5 Advances in Computational Mathematics 5 European Journal of Mechanics. B. Fluids 5 Journal of Turbulence 4 International Journal of Heat and Mass Transfer 4 Journal of Engineering Mathematics 4 Mathematics and Computers in Simulation 4 SIAM Journal on Numerical Analysis 4 Physica D 4 Numerical Algorithms 4 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Computer Physics Communications 3 Applied Mathematical Modelling 2 Acta Mechanica 2 Communications on Pure and Applied Mathematics 2 Meccanica 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 The ANZIAM Journal 2 Mathematical Biosciences and Engineering 2 Acta Mechanica Sinica 2 International Journal for Numerical Methods in Biomedical Engineering 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational Physics: X 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Theoretical and Computational Fluid Dynamics 1 BIT 1 Calcolo 1 Numerische Mathematik 1 Chinese Annals of Mathematics. Series B 1 Mathematical and Computer Modelling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Science in China. Series E 1 Abstract and Applied Analysis 1 Regular and Chaotic Dynamics 1 Computational Geosciences 1 Engineering Computations 1 Combustion Theory and Modelling 1 Lobachevskii Journal of Mathematics 1 Matematicheskoe Modelirovanie 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Communications in Applied Mathematics and Computational Science 1 Computational & Mathematical Methods in Medicine 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 Communications in Mathematical Research 1 Science China. Technological Sciences 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 International Journal of Applied and Computational Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences 1 Computational and Mathematical Biophysics 1 Mathematics in Applied Sciences and Engineering 1 Graduate Journal of Mathematics 1 International Journal on Finite Volumes all top 5 Cited in 26 Fields 524 Fluid mechanics (76-XX) 269 Numerical analysis (65-XX) 120 Biology and other natural sciences (92-XX) 97 Mechanics of deformable solids (74-XX) 88 Partial differential equations (35-XX) 13 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of particles and systems (70-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Optics, electromagnetic theory (78-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year