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Cortez, Ricardo

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Author ID: cortez.ricardo Recent zbMATH articles by "Cortez, Ricardo"
Published as: Cortez, Ricardo; Cortez, R.
Documents Indexed: 39 Publications since 1996

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 703 times in 483 Documents Cited by Year
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
246
2001
The method of regularized stokeslets. Zbl 1064.76080
Cortez, Ricardo
91
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
65
2005
The blob projection method for immersed boundary problems. Zbl 0962.74078
Cortez, R.; Minion, M.
40
2000
Boundary integral solutions of coupled Stokes and Darcy flows. Zbl 1188.76232
Tlupova, Svetlana; Cortez, Ricardo
33
2009
The method of images for regularized Stokeslets. Zbl 1388.76060
Ainley, Josephine; Durkin, Sandra; Embid, Rafael; Boindala, Priya; Cortez, Ricardo
29
2008
A study of bacterial flagellar bundling. Zbl 1334.92029
Flores, Heather; Lobaton, Edgar; Méndez-Diez, Stefan; Tlupova, Svetlana; Cortez, Ricardo
27
2005
Modeling physiological resistance in bacterial biofilms. Zbl 1334.92255
Cogan, N. G.; Cortez, Ricardo; Fauci, Lisa
19
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
14
2013
An impulse-based approximation of fluid motion due to boundary forces. Zbl 0847.76064
Cortez, Ricardo
12
1996
Parametric resonance in immersed elastic boundaries. Zbl 1074.74024
Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas
12
2004
Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055
Cortez, Ricardo; Nicholas, Michael
10
2012
A general system of images for regularized stokeslets and other elements near a plane wall. Zbl 1351.76022
Cortez, Ricardo; Varela, Douglas
9
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
8
2014
A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D. Zbl 1349.76596
Cortez, Ricardo; Hoffmann, Franz
8
2014
Computation of three-dimensional Brinkman flows using regularized methods. Zbl 1425.76238
Cortez, Ricardo; Cummins, Bree; Leiderman, Karin; Varela, Douglas
8
2010
Swimming performance, resonance and shape evolution in heaving flexible panels. Zbl 1404.76311
Hoover, Alexander P.; Cortez, Ricardo; Tytell, Eric D.; Fauci, Lisa J.
8
2018
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
Investigation of bend and shear waves in a geometrically exact elastic rod model. Zbl 1109.74336
Bishop, T. C.; Cortez, R.; Zhmudsky, O. O.
6
2004
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
6
2016
The action of waving cylindrical rings in a viscous fluid. Zbl 1225.76323
Nguyen, Hoa; Ortiz, Ricardo; Cortez, Ricardo; Fauci, Lisa
6
2011
Convergence of high-order deterministic particle methods for the convection-diffusion equation. Zbl 0904.65140
Cortez, Ricardo
5
1997
Modeling viscoelastic networks in Stokes flow. Zbl 1323.76132
Wróbel, Jacek K.; Cortez, Ricardo; Fauci, Lisa
5
2014
The dynamics of an elastic membrane using the impulse method. Zbl 0910.73035
Cortez, R.; Varela, D. A.
4
1997
On the accuracy of impulse methods for fluid flow. Zbl 0956.76067
Cortez, Ricardo
4
1998
Regularized Stokeslet segments. Zbl 1416.76208
Cortez, Ricardo
4
2018
Boundary integral formulation for flows containing an interface between two porous media. Zbl 1383.76360
Ahmadi, E.; Cortez, R.; Fujioka, H.
4
2017
Shape oscillations of a droplet in an Oldroyd-B fluid. Zbl 1375.76018
Chrispell, J. C.; Cortez, R.; Khismatullin, D. B.; Fauci, L. J.
3
2011
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
3
2014
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
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
Swimming performance, resonance and shape evolution in heaving flexible panels. Zbl 1404.76311
Hoover, Alexander P.; Cortez, Ricardo; Tytell, Eric D.; Fauci, Lisa J.
8
2018
Regularized Stokeslet segments. Zbl 1416.76208
Cortez, Ricardo
4
2018
Boundary integral formulation for flows containing an interface between two porous media. Zbl 1383.76360
Ahmadi, E.; Cortez, R.; Fujioka, H.
4
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
6
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
9
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
8
2014
A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D. Zbl 1349.76596
Cortez, Ricardo; Hoffmann, Franz
8
2014
Modeling viscoelastic networks in Stokes flow. Zbl 1323.76132
Wróbel, Jacek K.; Cortez, Ricardo; Fauci, Lisa
5
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
3
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
14
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
10
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.
3
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
33
2009
The method of images for regularized Stokeslets. Zbl 1388.76060
Ainley, Josephine; Durkin, Sandra; Embid, Rafael; Boindala, Priya; Cortez, Ricardo
29
2008
The method of regularized stokeslets in three dimensions: analysis, validation, and application to helical swimming. Zbl 1187.76105
Cortez, Ricardo; Fauci, Lisa; Medovikov, Alexei
65
2005
A study of bacterial flagellar bundling. Zbl 1334.92029
Flores, Heather; Lobaton, Edgar; Méndez-Diez, Stefan; Tlupova, Svetlana; Cortez, Ricardo
27
2005
Modeling physiological resistance in bacterial biofilms. Zbl 1334.92255
Cogan, N. G.; Cortez, Ricardo; Fauci, Lisa
19
2005
Parametric resonance in immersed elastic boundaries. Zbl 1074.74024
Cortez, Ricardo; Peskin, Charles S.; Stockie, John M.; Varela, Douglas
12
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.
6
2004
Accurate projection methods for the incompressible Navier-Stokes equations. Zbl 1153.76339
Brown, David L.; Cortez, Ricardo; Minion, Michael L.
246
2001
The method of regularized stokeslets. Zbl 1064.76080
Cortez, Ricardo
91
2001
The blob projection method for immersed boundary problems. Zbl 0962.74078
Cortez, R.; Minion, M.
40
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
4
1998
Convergence of high-order deterministic particle methods for the convection-diffusion equation. Zbl 0904.65140
Cortez, Ricardo
5
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
12
1996
all top 5

Cited by 838 Authors

18 Cortez, Ricardo
15 Fauci, Lisa J.
13 Lai, Mingchih
10 He, Xiaoming
10 Khoo, Boo Cheong
9 Griffith, Boyce E.
9 Li, Zhilin
9 Smith, David J.
8 Le, Duc-Vinh
8 Leiderman, Karin M.
8 Olson, Sarah D.
8 Peskin, Charles S.
7 Gaffney, Eamonn A.
7 Guy, Robert D.
7 Li, Jian
7 Minion, Michael L.
6 Beale, J. Thomas
6 Chen, Zhangxin
6 Guermond, Jean-Luc
6 Shelley, Michael J.
6 Tan, Zhijun
6 Yeo, Khoon Seng
5 Fogelson, Aaron L.
5 Ishimoto, Kenta
5 Layton, Anita T.
5 Lim, Kian-Meng
5 Min, Chohong
5 Prosperetti, Andrea
5 Shen, Jie
5 Stockie, John M.
5 Summers, David M.
4 Bouzarth, Elizabeth L.
4 Gao, Yali
4 Greengard, Leslie F.
4 Kim, Yongsam
4 Lowengrub, John Samuel
4 Miller, Laura A.
4 Povitsky, Alex
4 Zhu, Luoding
3 Ang, S. J.
3 Bhalla, Amneet Pal Singh
3 Blake, John Robert
3 Bortz, David M.
3 Colella, Phillip
3 Colonius, Tim
3 Cuminato, José Alberto
3 Eberl, Hermann J.
3 Fernandez-Feria, Ramon
3 Gibou, Frédéric
3 Glazunov, Andrey V.
3 Gunzburger, Max D.
3 Keaveny, Eric E.
3 Klein, Rupert
3 Lauga, Eric
3 Lee, Byungjoon
3 Liu, Jianguo
3 Maitre, Emmanuel
3 Mikhaylenko, Maxim A.
3 Mortikov, Evgeny V.
3 Nguyen, Hoang-Ngan
3 Nithiarasu, Perumal
3 Oishi, Cassio M.
3 Perezhogin, Pavel Aleksandrovich
3 Rebholz, Leo G.
3 Rosales, Rodolfo Ruben
3 San, Omer
3 Saye, Robert I.
3 Shu, Chang
3 Sotiropoulos, Fotis
3 Stotsky, Jay Alexander
3 Tlupova, Svetlana
3 Varela, Douglas
3 Vengadesan, S. N.
3 Walker, Benjamin J.
3 Wang, Z. Jane
3 Wendland, Holger
3 Wróbel, Jacek K.
3 Xu, Sheng
3 Yang, Xiaofeng
2 Abdelsamie, Abouelmagd
2 Angot, Philippe
2 Bao, Yan
2 Belliard, Michel
2 Blanchette, Francois
2 Bussmann, Markus
2 Cao, Yanzhao
2 Chen, Tingyao
2 Choi, Jung-Il
2 Chrispell, J. C.
2 Curtis, M. P.
2 Demirer, Ersan
2 Dong, Suchuan
2 Ferrante, Antonino
2 Fishelov, Dalia
2 Gadêlha, Hermes
2 Gao, Hui
2 Goodman, Jonathan B.
2 Grabski, Jakub Krzysztof
2 Hoover, Alexander P.
2 Hou, Jiangyong
...and 738 more Authors
all top 5

Cited in 70 Serials

144 Journal of Computational Physics
48 Journal of Fluid Mechanics
43 Computers and Fluids
24 Computer Methods in Applied Mechanics and Engineering
17 Physics of Fluids
15 Computers & Mathematics with Applications
13 Engineering Analysis with Boundary Elements
12 Journal of Scientific Computing
11 Bulletin of Mathematical Biology
8 International Journal for Numerical Methods in Fluids
8 SIAM Journal on Scientific Computing
8 Journal of Theoretical Biology
7 Mathematics of Computation
7 International Journal for Numerical Methods in Engineering
7 Applied Numerical Mathematics
7 International Journal of Numerical Methods for Heat & Fluid Flow
5 Mathematical Biosciences
5 Applied Mathematics and Computation
5 Journal of Computational and Applied Mathematics
5 Journal of Turbulence
4 International Journal of Heat and Mass Transfer
4 SIAM Journal on Numerical Analysis
4 Physica D
4 Russian Journal of Numerical Analysis and Mathematical Modelling
4 European Journal of Mechanics. B. Fluids
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Numerical Algorithms
3 Advances in Computational Mathematics
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
1 Acta Mechanica
1 Applicable Analysis
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Physics
1 Theoretical and Computational Fluid Dynamics
1 BIT
1 Calcolo
1 Mathematics and Computers in Simulation
1 Meccanica
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 Applied Mathematical Modelling
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 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Regular and Chaotic Dynamics
1 Computational Geosciences
1 Engineering Computations
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 Science China. Technological Sciences
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Applied Mathematics and Nonlinear Sciences
1 Computational and Mathematical Biophysics

Citations by Year