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Author ID: cortez.ricardo Recent zbMATH articles by "Cortez, Ricardo"
Published as: Cortez, Ricardo; Cortez, R.

Publications by Year

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 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

Citations by Year