-
1
-
-
33751544551
-
The immersed boundary method
-
C.S. Peskin. The immersed boundary method. Acta Numer., 11:479-517, 2002.
-
(2002)
Acta Numer.
, vol.11
, pp. 479-517
-
-
Peskin, C.S.1
-
2
-
-
0004246361
-
Flow patterns around heart valves: a digital computer method for solving the equations of motion
-
Albert Einstein College of Medicine
-
C.S. Peskin. Flow patterns around heart valves: a digital computer method for solving the equations of motion. PhD thesis, Albert Einstein College of Medicine, 1972.
-
(1972)
PhD thesis
-
-
Peskin, C.S.1
-
3
-
-
0017424014
-
Numerical analysis of blood flow in the heart
-
C.S. Peskin. Numerical analysis of blood flow in the heart. J. Comput. Phys., 25(3):220-252, 1977.
-
(1977)
J. Comput. Phys.
, vol.25
, Issue.3
, pp. 220-252
-
-
Peskin, C.S.1
-
4
-
-
0034176173
-
Three-dimensional computational model of left heart diastolic function with fluid-structure interaction
-
J.D. Lemmon and A.P. Yoganathan. Three-dimensional computational model of left heart diastolic function with fluid-structure interaction. J. Biomech. Eng., 122(2):109-117, 2000.
-
(2000)
J. Biomech. Eng.
, vol.122
, Issue.2
, pp. 109-117
-
-
Lemmon, J.D.1
Yoganathan, A.P.2
-
5
-
-
0033804590
-
Computational modeling of left heart diastolic function: examination of ventricular dysfunction
-
J.D. Lemmon and A.P. Yoganathan. Computational modeling of left heart diastolic function: examination of ventricular dysfunction. J. Biomech. Eng., 122(4):297-303, 2000.
-
(2000)
J. Biomech. Eng.
, vol.122
, Issue.4
, pp. 297-303
-
-
Lemmon, J.D.1
Yoganathan, A.P.2
-
6
-
-
0002680335
-
Fluid dynamics of the heart and its valves
-
In H.G. Othmer, F.R. Adler, M.A. Lewis, and J.C. Dallon, editors, Prentice-Hall, Englewood Cliffs, NJ
-
C.S. Peskin and D.M. McQueen. Fluid dynamics of the heart and its valves. In H.G. Othmer, F.R. Adler, M.A. Lewis, and J.C. Dallon, editors, Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology, Prentice-Hall, Englewood Cliffs, NJ, 1996, pp. 309-337.
-
(1996)
Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology
, pp. 309-337
-
-
Peskin, C.S.1
McQueen, D.M.2
-
7
-
-
0002329803
-
Athree-dimensional computer model of the human heart for studying cardiac fluid dynamics
-
D.M. McQueen and C.S. Peskin. Athree-dimensional computer model of the human heart for studying cardiac fluid dynamics. Comput. Graph., 34(1):56-60, 2000.
-
(2000)
Comput. Graph.
, vol.34
, Issue.1
, pp. 56-60
-
-
McQueen, D.M.1
Peskin, C.S.2
-
8
-
-
0026908030
-
Continuum models of platelet aggregation: formulation and mechanical properties
-
A.L. Fogelson. Continuum models of platelet aggregation: formulation and mechanical properties. SIAM J. Appl. Math., 52(4):1089-1110, 1992.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, Issue.4
, pp. 1089-1110
-
-
Fogelson, A.L.1
-
9
-
-
0006006596
-
Computational methods for continuum models of platelet aggregation
-
N.T.Wang and A.L. Fogelson. Computational methods for continuum models of platelet aggregation. J. Comput. Phy., 151(2):649-675, 1999.
-
(1999)
J. Comput. Phy.
, vol.151
, Issue.2
, pp. 649-675
-
-
Wang, N.T.1
Fogelson, A.L.2
-
10
-
-
11044238141
-
Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution
-
A.L. Fogelson and R.D. Guy. Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Math. Med. Biol., 21(4):293-334, 2004.
-
(2004)
Math. Med. Biol.
, vol.21
, Issue.4
, pp. 293-334
-
-
Fogelson, A.L.1
Guy, R.D.2
-
11
-
-
0000266020
-
Large deformation of red blood cell ghosts in a simple shear flow
-
C.D. Eggleton and A.S. Popel. Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluids, 10(8):1834-1845, 1998.
-
(1998)
Phys. Fluids
, vol.10
, Issue.8
, pp. 1834-1845
-
-
Eggleton, C.D.1
Popel, A.S.2
-
12
-
-
30344471057
-
Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow
-
P. Bagchi, P.C. Johnson, and A.S. Popel. Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. J. Biomech. Eng., 127(7):1070-1080, 2005.
-
(2005)
J. Biomech. Eng.
, vol.127
, Issue.7
, pp. 1070-1080
-
-
Bagchi, P.1
Johnson, P.C.2
Popel, A.S.3
-
13
-
-
0342417213
-
A computer method for simulation of cardiovascular flow-fields: validation of approach
-
C.C. Vesier and A.P. Yoganathan. A computer method for simulation of cardiovascular flow-fields: validation of approach. J. Comput. Phys., 99(2):271-287, 1992.
-
(1992)
J. Comput. Phys.
, vol.99
, Issue.2
, pp. 271-287
-
-
Vesier, C.C.1
Yoganathan, A.P.2
-
14
-
-
0001570059
-
Modeling arteriolar flow and mass transport using the immersed boundary method
-
K.M. Arthurs, L.C. Moore, C.S. Peskin, E.B. Pitman, and H.E. Layton. Modeling arteriolar flow and mass transport using the immersed boundary method. J. Comput. Phys., 147(2):402-440, 1998.
-
(1998)
J. Comput. Phys.
, vol.147
, Issue.2
, pp. 402-440
-
-
Arthurs, K.M.1
Moore, L.C.2
Peskin, C.S.3
Pitman, E.B.4
Layton, H.E.5
-
15
-
-
0012666265
-
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model
-
M.E. Rosar and C.S. Peskin. Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. New York J. Math., 7:281-302, 2001.
-
(2001)
New York J. Math.
, vol.7
, pp. 281-302
-
-
Rosar, M.E.1
Peskin, C.S.2
-
16
-
-
0345700718
-
Advective transport of nitric oxide in a mathematical model of the afferent arteriole
-
K.M. Smith, L.C. Moore, and H.E. Layton. Advective transport of nitric oxide in a mathematical model of the afferent arteriole. Am. J. Physiol. Renal Physiol., 284(5):F1080-F1096, 2003.
-
(2003)
Am. J. Physiol. Renal Physiol.
, vol.284
, Issue.5
-
-
Smith, K.M.1
Moore, L.C.2
Layton, H.E.3
-
17
-
-
77952428254
-
Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method
-
Courant Institute of Mathematical Sciences, New York University
-
B.E. Griffith. Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method. PhD thesis, Courant Institute of Mathematical Sciences, New York University, 4.
-
PhD thesis
-
-
Griffith, B.E.1
-
18
-
-
33947217364
-
An adaptive, formally second order accurate version of the immersed boundary method
-
B.E. Griffith, R.D. Hornung, D.M. McQueen, and C.S. Peskin. An adaptive, formally second order accurate version of the immersed boundary method. J. Comput. Phys., 223(1):10-49, 2007.
-
(2007)
J. Comput. Phys.
, vol.223
, Issue.1
, pp. 10-49
-
-
Griffith, B.E.1
Hornung, R.D.2
McQueen, D.M.3
Peskin, C.S.4
-
19
-
-
19044361846
-
On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
-
B.E. Griffith and C.S. Peskin. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. J. Comput. Phys., 208(1):75-105, 2005.
-
(2005)
J. Comput. Phys.
, vol.208
, Issue.1
, pp. 75-105
-
-
Griffith, B.E.1
Peskin, C.S.2
-
20
-
-
0343617730
-
Amultilevel self adaptive version of the immersed boundary method
-
Courant Institute of Mathematical Sciences, New York University
-
A.M. Roma. Amultilevel self adaptive version of the immersed boundary method. PhD thesis, Courant Institute of Mathematical Sciences, New York University, 1996.
-
(1996)
PhD thesis
-
-
Roma, A.M.1
-
21
-
-
0000810173
-
An adaptive version of the immersed boundary method
-
A.M. Roma, C.S. Peskin, and M.J. Berger. An adaptive version of the immersed boundary method. J. Comput. Phys., 153(2):509-534, 1999.
-
(1999)
J. Comput. Phys.
, vol.153
, Issue.2
, pp. 509-534
-
-
Roma, A.M.1
Peskin, C.S.2
Berger, M.J.3
-
22
-
-
0035273564
-
Strong stability-preserving high-order time discretization methods
-
S. Gottlieb, C.-W. Shu, and E. Tadmor. Strong stability-preserving high-order time discretization methods. SIAM Rev., 43(1):89-112, 2001.
-
(2001)
SIAM Rev.
, vol.43
, Issue.1
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
23
-
-
84968510911
-
Numerical solution of the Navier-Stokes equations
-
A.J. Chorin. Numerical solution of the Navier-Stokes equations. Math. Comput., 22(104):745-762, 1968.
-
(1968)
Math. Comput.
, vol.22
, Issue.104
, pp. 745-762
-
-
Chorin, A.J.1
-
24
-
-
84968483581
-
On the convergence of discrete approximations to the Navier-Stokes equations
-
A.J. Chorin. On the convergence of discrete approximations to the Navier-Stokes equations. Math. Comput., 23(106):341-353, 1969.
-
(1969)
Math. Comput.
, vol.23
, Issue.106
, pp. 341-353
-
-
Chorin, A.J.1
-
25
-
-
0001608079
-
Asecond-order projection method for the incompressible Navier-Stokes equations
-
J.B. Bell, P. Colella, and H.M. Glaz. Asecond-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys., 85(2):257-283, 1989.
-
(1989)
J. Comput. Phys.
, vol.85
, Issue.2
, pp. 257-283
-
-
Bell, J.B.1
Colella, P.2
Glaz, H.M.3
-
26
-
-
0035505590
-
A Cartesian grid embedded boundary method for the heat equation on irregular domains
-
P. McCorquodale, P. Colella, and H. Johansen. A Cartesian grid embedded boundary method for the heat equation on irregular domains. J. Comput. Phys., 173(2):620-635, 2001.
-
(2001)
J. Comput. Phys.
, vol.173
, Issue.2
, pp. 620-635
-
-
McCorquodale, P.1
Colella, P.2
Johansen, H.3
-
27
-
-
0030078729
-
On the stability of Godunov-projection methods for incompressible flow
-
M.L. Minion. On the stability of Godunov-projection methods for incompressible flow. J. Comput. Phys., 123(2):435-449, 1996.
-
(1996)
J. Comput. Phys.
, vol.123
, Issue.2
, pp. 435-449
-
-
Minion, M.L.1
-
28
-
-
0030210485
-
A projection method for locally refined grids
-
M.L. Minion. A projection method for locally refined grids. J. Comput. Phys., 127(1):158-178, 1996.
-
(1996)
J. Comput. Phys.
, vol.127
, Issue.1
, pp. 158-178
-
-
Minion, M.L.1
-
29
-
-
0000037930
-
A cell-centered adaptive projection method for the incompressible Euler equations
-
D.F. Martin and P. Colella. A cell-centered adaptive projection method for the incompressible Euler equations. J. Comput. Phys., 163(2):271-312, 2000.
-
(2000)
J. Comput. Phys.
, vol.163
, Issue.2
, pp. 271-312
-
-
Martin, D.F.1
Colella, P.2
-
30
-
-
0008688174
-
A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
-
A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, and M.L. Welcome. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys., 142(1):1-46, 1998.
-
(1998)
J. Comput. Phys.
, vol.142
, Issue.1
, pp. 1-46
-
-
Almgren, A.S.1
Bell, J.B.2
Colella, P.3
Howell, L.H.4
Welcome, M.L.5
-
31
-
-
0034883943
-
Approximate projection methods: Part I
-
A.S. Almgren, J.B. Bell, and W.Y. Crutchfield. Approximate projection methods: Part I. Inviscid analysis. SIAM J. Sci. Comput., 22(4):1139-1159, 2000.
-
(2000)
Inviscid analysis. SIAM J. Sci. Comput.
, vol.22
, Issue.4
, pp. 1139-1159
-
-
Almgren, A.S.1
Bell, J.B.2
Crutchfield, W.Y.3
-
32
-
-
0036646919
-
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
-
L. Zhu and C.S. Peskin. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys., 179(2):452-468, 2002.
-
(2002)
J. Comput. Phys.
, vol.179
, Issue.2
, pp. 452-468
-
-
Zhu, L.1
Peskin, C.S.2
-
33
-
-
84941628909
-
On various techniques for computer simulation of boundaries with mass
-
In K.J. Bathe, editor, Elsevier
-
Y. Kim, L. Zhu, X. Wang, and C.S. Peskin. On various techniques for computer simulation of boundaries with mass. In K.J. Bathe, editor, Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics. Elsevier, 2003, pp. 1746-1750.
-
(2003)
Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics
, pp. 1746-1750
-
-
Kim, Y.1
Zhu, L.2
Wang, X.3
Peskin, C.S.4
-
34
-
-
45149143078
-
A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid
-
C.S. Peskin and D.M. McQueen. A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid. J. Comput. Phys., 81(2):372-405, 1989.
-
(1989)
J. Comput. Phys.
, vol.81
, Issue.2
, pp. 372-405
-
-
Peskin, C.S.1
McQueen, D.M.2
-
35
-
-
84966249747
-
Local refinement techniques for elliptic problems on cell-centered grids
-
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski. Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis. Math. Comput., 56(194):437-461, 1991.
-
(1991)
I. Error analysis. Math. Comput.
, vol.56
, Issue.194
, pp. 437-461
-
-
Ewing, R.E.1
Lazarov, R.D.2
Vassilevski, P.S.3
-
36
-
-
0000310338
-
A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
-
A.S. Almgren, J.B. Bell, and W.G. Szymczak. A numerical method for the incompressible Navier-Stokes equations based on an approximate projection. SIAM J. Sci. Comput., 17(2):358-369, 1996.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.2
, pp. 358-369
-
-
Almgren, A.S.1
Bell, J.B.2
Szymczak, W.G.3
-
37
-
-
0004091941
-
A projection method for reacting flow in the zero mach number limit
-
University of California at Berkeley
-
M.F. Lai. A projection method for reacting flow in the zero mach number limit. PhD thesis, University of California at Berkeley, 1993.
-
(1993)
PhD thesis
-
-
Lai, M.F.1
-
38
-
-
33749190078
-
Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
-
F.H. Harlow and J.E. Welch. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids, 8(12):2182-2189, 1965.
-
(1965)
Phys. Fluids
, vol.8
, Issue.12
, pp. 2182-2189
-
-
Harlow, F.H.1
Welch, J.E.2
-
40
-
-
0026226856
-
An algorithm for point clustering and grid generation
-
M.J. Berger and I. Rigoutsos. An algorithm for point clustering and grid generation. IEEE Trans. Syst. Man Cybern., 21(5):1278-1286, 1991.
-
(1991)
IEEE Trans. Syst. Man Cybern.
, vol.21
, Issue.5
, pp. 1278-1286
-
-
Berger, M.J.1
Rigoutsos, I.2
-
41
-
-
41849088118
-
Implicit second-order immersed boundary methods with boundary mass
-
Y. Mori and C.S. Peskin. Implicit second-order immersed boundary methods with boundary mass. Comput. Methods Appl. Mech. Engrg., 197(25-28):2049-2067, 2008.
-
(2008)
Comput. Methods Appl. Mech. Engrg.
, vol.197
, Issue.25-28
, pp. 2049-2067
-
-
Mori, Y.1
Peskin, C.S.2
-
42
-
-
34447541682
-
Distributed immersed boundary simulation in Titanium
-
E. Givelberg and K. Yelick. Distributed immersed boundary simulation in Titanium. SIAM J. Sci. Comput., 28(4):1361-1378, 2006.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, Issue.4
, pp. 1361-1378
-
-
Givelberg, E.1
Yelick, K.2
-
43
-
-
0037171879
-
Managing application complexity in the SAMRAI object-oriented framework
-
R.D. Hornung and S.R. Kohn. Managing application complexity in the SAMRAI object-oriented framework. Concurrency Comput. Pract. Exper., 14(5):347-368, 2002.
-
(2002)
Concurrency Comput. Pract. Exper.
, vol.14
, Issue.5
, pp. 347-368
-
-
Hornung, R.D.1
Kohn, S.R.2
-
44
-
-
34249930796
-
Managing complex data and geometry in parallel structured AMR applications
-
R.D. Hornung, A.M. Wissink, and S.R. Kohn. Managing complex data and geometry in parallel structured AMR applications. Eng. Comput., 22(3-4):181-195, (2006).
-
(2006)
Eng. Comput.
, vol.22
, Issue.3-4
, pp. 181-195
-
-
Hornung, R.D.1
Wissink, A.M.2
Kohn, S.R.3
-
45
-
-
84857040838
-
PETSc Users Manual. Technical Report ANL-95/11 - Revision 2.1.5
-
Argonne National Laboratory
-
S. Balay, K. Buschelman, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, B.F. Smith, and H. Zhang. PETSc Users Manual. Technical Report ANL-95/11 - Revision 2.1.5, Argonne National Laboratory, 4.
-
-
-
Balay, S.1
Buschelman, K.2
Eijkhout, V.3
Gropp, W.D.4
Kaushik, D.5
Knepley, M.G.6
McInnes, L.C.7
Smith, B.F.8
Zhang, H.9
-
46
-
-
0002515487
-
Efficient management of parallelism in object oriented numerical software libraries
-
In E. Arge, A.M. Bruaset, and H.P. Langtangen, editors, Birkhäuser Press
-
S. Balay, V. Eijkhout, W.D. Gropp, L.C. McInnes, and B.F. Smith. Efficient management of parallelism in object oriented numerical software libraries. In E. Arge, A.M. Bruaset, and H.P. Langtangen, editors, Modern Software Tools in Scientific Computing. Birkhäuser Press, 1997, pp. 163-202.
-
(1997)
Modern Software Tools in Scientific Computing
, pp. 163-202
-
-
Balay, S.1
Eijkhout, V.2
Gropp, W.D.3
McInnes, L.C.4
Smith, B.F.5
-
47
-
-
26244468102
-
Newton-Krylov-FAC methods for problems discretized on locallyrefined grids
-
M. Pernice and R.D. Hornung. Newton-Krylov-FAC methods for problems discretized on locallyrefined grids. Comput. Vis. Sci., 8(2):107-118, 2005.
-
(2005)
Comput. Vis. Sci.
, vol.8
, Issue.2
, pp. 107-118
-
-
Pernice, M.1
Hornung, R.D.2
-
48
-
-
33646131626
-
A quantitative analysis of cardiac myocyte relaxation: a simulation study
-
S.A. Niederer, P.J. Hunter, and N.P. Smith. A quantitative analysis of cardiac myocyte relaxation: a simulation study. Biophys. J., 90(5):1697-1722, 2006.
-
(2006)
Biophys. J.
, vol.90
, Issue.5
, pp. 1697-1722
-
-
Niederer, S.A.1
Hunter, P.J.2
Smith, N.P.3
-
49
-
-
0028144286
-
Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets
-
C.S. Peskin and D.M. McQueen. Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets. Am. J. Physiol. Heart Circ. Physiol., 266(1):H319-H328, 1994.
-
(1994)
Am. J. Physiol. Heart Circ. Physiol.
, vol.266
, Issue.1
-
-
Peskin, C.S.1
McQueen, D.M.2
-
50
-
-
46549085282
-
Fractal dimension of an aortic heart valve leaflet
-
J.V. Stern and C.S. Peskin. Fractal dimension of an aortic heart valve leaflet. Fractals, 2(3):461-464, 1994.
-
(1994)
Fractals
, vol.2
, Issue.3
, pp. 461-464
-
-
Stern, J.V.1
Peskin, C.S.2
|