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Fogelson, Aaron L.

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Author ID: fogelson.aaron-l Recent zbMATH articles by "Fogelson, Aaron L."
Published as: Fogelson, Aaron L.; Fogelson, Aaron; Fogelson, A. L.
Documents Indexed: 54 Publications since 1984

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 541 times in 374 Documents Cited by Year
Unconditionally stable discretizations of the immersed boundary equations. Zbl 1158.74350
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M.
45
2007
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
42
2015
A fast numerical method for solving the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0652.76025
Fogelson, Aaron; Peskin, Charles S.
42
1988
A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. Zbl 0558.92009
Fogelson, Aaron L.
42
1984
Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112
Fogelson, Aaron L.; Keener, James P.
40
2000
Modeling biofilm processes using the immersed boundary method. Zbl 0867.76100
Dillon, Robert; Fauci, Lisa; Fogelson, Aaron; Gaver, Donald III
33
1996
Continuum models of platelet aggregation: Formulation and mechanical properties. Zbl 0756.92013
Fogelson, Aaron L.
27
1992
Truncated Newton methods and the modeling of complex immersed elastic structures. Zbl 0741.76103
Fauci, Lisa J.; Fogelson, Aaron L.
27
1992
Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030
Leiderman, Karin; Fogelson, Aaron L.
21
2011
Computational methods for continuum models of platelet aggregation. Zbl 0981.92005
Wang, Nien-Tzu; Fogelson, Aaron L.
20
1999
Immersed-boundary-type models of intravascular platelet aggregation. Zbl 1158.76401
Fogelson, Aaron L.; Guy, Robert D.
19
2008
A comparison of implicit solvers for the immersed boundary equations. Zbl 1158.76409
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M.
15
2008
Fibrin gel formation in a shear flow. Zbl 1115.92017
Guy, Robert D.; Fogelson, Aaron L.; Keener, James P.
15
2007
Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015
Fogelson, Aaron L.; Guy, Robert D.
14
2004
Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. Zbl 1183.92022
Crowl, Lindsay M.; Fogelson, Aaron L.
14
2010
TNPACK—a truncated Newton minimization package for large-scale problems. I: Algorithm and usage. Zbl 0892.65030
Schlick, Tamar; Fogelson, Aaron
13
1992
Robust node generation for mesh-free discretizations on irregular domains and surfaces. Zbl 1393.68177
Shankar, Varun; Kirby, Robert M.; Fogelson, Aaron L.
10
2018
Stability of approximate projection methods on cell-centered grids. Zbl 1143.76558
Guy, Robert D.; Fogelson, Aaron L.
9
2005
An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037
Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L.
9
2008
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. Zbl 1415.65199
Shankar, Varun; Fogelson, Aaron L.
9
2018
Kinetics of swelling gels. Zbl 1452.76261
Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L.
8
2011
A study of different modeling choices for simulating platelets within the immersed boundary method. Zbl 1426.76568
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
7
2013
Fourth-order interface tracking in two dimensions via an improved polygonal area mapping method. Zbl 1426.76584
Zhang, Qinghai; Fogelson, Aaron
6
2014
MARS: an analytic framework of interface tracking via mapping and adjusting regular semialgebraic sets. Zbl 1332.76066
Zhang, Qinghai; Fogelson, Aaron
6
2016
Analysis of mechanisms for platelet near-wall excess under arterial blood flow conditions. Zbl 1241.76466
Crowl, L.; Fogelson, A. L.
6
2011
The influence of hindered transport on the development of platelet thrombi under flow. Zbl 1272.92029
Leiderman, Karin; Fogelson, Aaron L.
5
2013
Continuum models of platelet aggregation: Mechanical properties and chemically-induced phase transitions. Zbl 0785.92011
Fogelson, Aaron L.
5
1993
TNPACK—a truncated Newton minimization package for large-scale problems. II: Implementation examples. Zbl 0892.65031
Schlick, Tamar; Fogelson, Aaron
5
1992
Optimal smoothing in function-transport particle methods for diffusion problems. Zbl 0793.65093
Fogelson, Aaron L.; Dillon, Robert H.
4
1993
The effects of spatial inhomogeneities on flow through the endothelial surface layer. Zbl 1398.92057
Leiderman, Karin M.; Miller, Laura A.; Fogelson, Aaron L.
4
2008
A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143
Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L.
3
2011
Particle-method solution of two-dimensional convection-diffusion equations. Zbl 0758.76039
Fogelson, Aaron L.
3
1992
Simulations of chemical transport and reaction in a suspension of cells. I: An augmented forcing point method for the stationary case. Zbl 1253.76143
Yao, Lingxing; Fogelson, Aaron L.
3
2012
An immersed boundary method for two-fluid mixtures. Zbl 1349.76873
Du, Jian; Guy, Robert D.; Fogelson, Aaron L.
2
2014
A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties. Zbl 1158.76366
Guy, Robert D.; Fogelson, Aaron L.
2
2008
Multi-bond models for platelet adhesion and cohesion. Zbl 1329.92037
Skorczewski, Tyler; Griffith, Boyce E.; Fogelson, Aaron L.
1
2014
Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116
Camacho, Victor; Fogelson, Aaron; Keener, James
1
2016
A Cartesian grid method for two-phase gel dynamics on an irregular domain. Zbl 1426.76467
Du, Jian; Fogelson, Aaron L.
1
2011
A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Zbl 1163.76031
Du, Jian; Fogelson, Aaron L.; Wright, Grady B.
1
2009
Activation waves in a model of platelet aggregation: Existence of solutions and stability of travelling fronts. Zbl 0796.92011
Moll, Victor H.; Fogelson, Aaron L.
1
1993
Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035
Fogelson, Aaron L.; Peskin, Charles S.
1
1986
Robust node generation for mesh-free discretizations on irregular domains and surfaces. Zbl 1393.68177
Shankar, Varun; Kirby, Robert M.; Fogelson, Aaron L.
10
2018
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations. Zbl 1415.65199
Shankar, Varun; Fogelson, Aaron L.
9
2018
MARS: an analytic framework of interface tracking via mapping and adjusting regular semialgebraic sets. Zbl 1332.76066
Zhang, Qinghai; Fogelson, Aaron
6
2016
Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116
Camacho, Victor; Fogelson, Aaron; Keener, James
1
2016
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
42
2015
Fourth-order interface tracking in two dimensions via an improved polygonal area mapping method. Zbl 1426.76584
Zhang, Qinghai; Fogelson, Aaron
6
2014
An immersed boundary method for two-fluid mixtures. Zbl 1349.76873
Du, Jian; Guy, Robert D.; Fogelson, Aaron L.
2
2014
Multi-bond models for platelet adhesion and cohesion. Zbl 1329.92037
Skorczewski, Tyler; Griffith, Boyce E.; Fogelson, Aaron L.
1
2014
A study of different modeling choices for simulating platelets within the immersed boundary method. Zbl 1426.76568
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
7
2013
The influence of hindered transport on the development of platelet thrombi under flow. Zbl 1272.92029
Leiderman, Karin; Fogelson, Aaron L.
5
2013
Simulations of chemical transport and reaction in a suspension of cells. I: An augmented forcing point method for the stationary case. Zbl 1253.76143
Yao, Lingxing; Fogelson, Aaron L.
3
2012
Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030
Leiderman, Karin; Fogelson, Aaron L.
21
2011
Kinetics of swelling gels. Zbl 1452.76261
Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L.
8
2011
Analysis of mechanisms for platelet near-wall excess under arterial blood flow conditions. Zbl 1241.76466
Crowl, L.; Fogelson, A. L.
6
2011
A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143
Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L.
3
2011
A Cartesian grid method for two-phase gel dynamics on an irregular domain. Zbl 1426.76467
Du, Jian; Fogelson, Aaron L.
1
2011
Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. Zbl 1183.92022
Crowl, Lindsay M.; Fogelson, Aaron L.
14
2010
A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Zbl 1163.76031
Du, Jian; Fogelson, Aaron L.; Wright, Grady B.
1
2009
Immersed-boundary-type models of intravascular platelet aggregation. Zbl 1158.76401
Fogelson, Aaron L.; Guy, Robert D.
19
2008
A comparison of implicit solvers for the immersed boundary equations. Zbl 1158.76409
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M.
15
2008
An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037
Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L.
9
2008
The effects of spatial inhomogeneities on flow through the endothelial surface layer. Zbl 1398.92057
Leiderman, Karin M.; Miller, Laura A.; Fogelson, Aaron L.
4
2008
A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties. Zbl 1158.76366
Guy, Robert D.; Fogelson, Aaron L.
2
2008
Unconditionally stable discretizations of the immersed boundary equations. Zbl 1158.74350
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M.
45
2007
Fibrin gel formation in a shear flow. Zbl 1115.92017
Guy, Robert D.; Fogelson, Aaron L.; Keener, James P.
15
2007
Stability of approximate projection methods on cell-centered grids. Zbl 1143.76558
Guy, Robert D.; Fogelson, Aaron L.
9
2005
Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015
Fogelson, Aaron L.; Guy, Robert D.
14
2004
Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112
Fogelson, Aaron L.; Keener, James P.
40
2000
Computational methods for continuum models of platelet aggregation. Zbl 0981.92005
Wang, Nien-Tzu; Fogelson, Aaron L.
20
1999
Modeling biofilm processes using the immersed boundary method. Zbl 0867.76100
Dillon, Robert; Fauci, Lisa; Fogelson, Aaron; Gaver, Donald III
33
1996
Continuum models of platelet aggregation: Mechanical properties and chemically-induced phase transitions. Zbl 0785.92011
Fogelson, Aaron L.
5
1993
Optimal smoothing in function-transport particle methods for diffusion problems. Zbl 0793.65093
Fogelson, Aaron L.; Dillon, Robert H.
4
1993
Activation waves in a model of platelet aggregation: Existence of solutions and stability of travelling fronts. Zbl 0796.92011
Moll, Victor H.; Fogelson, Aaron L.
1
1993
Continuum models of platelet aggregation: Formulation and mechanical properties. Zbl 0756.92013
Fogelson, Aaron L.
27
1992
Truncated Newton methods and the modeling of complex immersed elastic structures. Zbl 0741.76103
Fauci, Lisa J.; Fogelson, Aaron L.
27
1992
TNPACK—a truncated Newton minimization package for large-scale problems. I: Algorithm and usage. Zbl 0892.65030
Schlick, Tamar; Fogelson, Aaron
13
1992
TNPACK—a truncated Newton minimization package for large-scale problems. II: Implementation examples. Zbl 0892.65031
Schlick, Tamar; Fogelson, Aaron
5
1992
Particle-method solution of two-dimensional convection-diffusion equations. Zbl 0758.76039
Fogelson, Aaron L.
3
1992
A fast numerical method for solving the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0652.76025
Fogelson, Aaron; Peskin, Charles S.
42
1988
Numerical solution of the three-dimensional Stokes’ equations in the presence of suspended particles. Zbl 0675.76035
Fogelson, Aaron L.; Peskin, Charles S.
1
1986
A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. Zbl 0558.92009
Fogelson, Aaron L.
42
1984
all top 5

Cited by 711 Authors

20 Fogelson, Aaron L.
11 Peskin, Charles S.
10 Shankar, Varun
9 Volpert, Vitaly A.
9 Wright, Grady B.
8 Guy, Robert D.
8 Wei, Guowei
7 Griffith, Boyce E.
7 Khoo, Boo Cheong
7 Lai, Mingchih
7 Zhang, Lucy T.
7 Zhang, Qinghai
7 Zhu, Luoding
6 Dehghan Takht Fooladi, Mehdi
6 Fauci, Lisa J.
6 Lim, Kian-Meng
6 Miller, Laura A.
5 Li, Zhilin
5 Tan, Zhijun
5 Zhao, Jianping
4 Beale, J. Thomas
4 Čanić, Sunčica
4 Fornberg, Bengt
4 Glowinski, Roland
4 Hou, Yanren
4 Le, Duc-Vinh
4 Leiderman, Karin M.
4 Navon, Ionel Michael
4 Xia, Kelin
4 Xie, Dexuan
3 Abbaszadeh, Mostafa
3 Antaki, James F.
3 Bhalla, Amneet Pal Singh
3 Borazjani, Iman
3 Bouchnita, Anass
3 Cortez, Ricardo
3 Cuminato, José Alberto
3 Du, Jian
3 Eberl, Hermann J.
3 Feng, Zhigang
3 Fuselier, Edward J.
3 Keener, James P.
3 Kim, Yongsam
3 Kuzmin, Dmitri
3 Layton, Anita T.
3 Ling, Leevan
3 Liu, Wing Kam
3 Massoudi, Mehrdad
3 McKee, Sean
3 Michaelides, Efstathios E.
3 Mirzaei, Davoud
3 Mori, Yoichiro
3 Olson, Sarah D.
3 Pan, Tsorng-Whay
3 Patankar, Neelesh A.
3 Roma, Alexandre Megiorin
3 Schlick, Tamar
3 Sequeira, Adélia
3 Stockie, John M.
3 Tomé, Murilo F.
3 Tosenberger, Alen
3 Wang, Xiaodong
3 Wang, Xingshi
3 Xu, Sheng
2 Álvarez, Diego
2 Anand, Mohan
2 Ataullakhanov, Fazoil I.
2 Atzberger, Paul J.
2 Aubry, Nadine
2 Bagchi, Prosenjit
2 Balogh, Peter
2 Belliard, Michel
2 Berry, Joseph D.
2 Boffi, Daniele
2 Bona-Casas, Carles
2 Bukač, Martina
2 Calhoun, Donna A.
2 Casquero, Hugo
2 Cavallini, Nicola
2 Ceniceros, Hector D.
2 Cheng, Yongguang
2 Choi, Jung-Il
2 Copos, Calina A.
2 Crowl, Lindsay M.
2 de la Cruz Cancino, H.
2 Dillon, Robert H.
2 Ekanayake, Nilanka I. K.
2 Fasano, Antonio
2 Fernández, Miguel Ángel
2 Ferreira, Valdemir G.
2 Fisher, Jordan E.
2 Flyer, Natasha
2 Galochkina, Tatiana
2 Gastaldi, Lucia
2 Ge, Liang
2 Ghasemi, Maryam
2 González-Rodríguez, Pedro
2 Gorb, Yuliya
2 Graziani, Carlo
2 Guria, Georgy Th.
...and 611 more Authors
all top 5

Cited in 81 Serials

107 Journal of Computational Physics
24 Computers and Fluids
23 Computer Methods in Applied Mechanics and Engineering
17 Computers & Mathematics with Applications
16 Journal of Scientific Computing
13 Journal of Fluid Mechanics
13 Journal of Theoretical Biology
10 Journal of Mathematical Biology
10 Bulletin of Mathematical Biology
10 SIAM Journal on Scientific Computing
7 International Journal for Numerical Methods in Fluids
7 Journal of Computational and Applied Mathematics
7 Engineering Analysis with Boundary Elements
5 SIAM Journal on Numerical Analysis
4 Applied Numerical Mathematics
4 Computational Mechanics
4 Computational Optimization and Applications
4 International Journal for Numerical Methods in Biomedical Engineering
3 Journal of Engineering Mathematics
3 Mathematical Biosciences
3 SIAM Journal on Applied Mathematics
3 Advances in Computational Mathematics
3 Mathematical Modelling of Natural Phenomena
2 International Journal of Engineering Science
2 Mathematics of Computation
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Applied Mathematics and Mechanics. (English Edition)
2 Chinese Annals of Mathematics. Series B
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematical Modelling
2 Physics of Fluids
2 Communications in Nonlinear Science and Numerical Simulation
2 The ANZIAM Journal
2 Sādhanā
2 Multiscale Modeling & Simulation
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theoretical and Computational Fluid Dynamics
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Operations Research Letters
1 Physica D
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 Stochastics and Stochastics Reports
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Monte Carlo Methods and Applications
1 ACM Transactions on Modeling and Computer Simulation
1 Mathematical Problems in Engineering
1 International Journal of Computational Fluid Dynamics
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Journal of Theoretical Medicine
1 Chaos
1 Fractional Calculus & Applied Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Interfaces and Free Boundaries
1 International Journal of Modern Physics C
1 Archives of Computational Methods in Engineering
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Numerical Mathematics
1 International Journal of Computational Methods
1 Advances in Difference Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Acta Mechanica Sinica
1 Communications in Applied Mathematics and Computational Science
1 East Asian Journal on Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Results in Applied Mathematics

Citations by Year