-
1
-
-
85190571834
-
-
A.M. Roma, A multilevel self adaptive version of the immersed boundary method, Ph.D. Thesis, Courant Institute of Mathematical Sciences, New York University, 1996.
-
-
-
-
2
-
-
0000810173
-
An adaptive version of the immersed boundary method
-
Roma A.M., Peskin C.S., and Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 153 2 (1999) 509-534
-
(1999)
J. Comput. Phys.
, vol.153
, Issue.2
, pp. 509-534
-
-
Roma, A.M.1
Peskin, C.S.2
Berger, M.J.3
-
3
-
-
19044361846
-
On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
-
Griffith B.E., and Peskin C.S. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. J. Comput. Phys. 208 1 (2005) 75-105
-
(2005)
J. Comput. Phys.
, vol.208
, Issue.1
, pp. 75-105
-
-
Griffith, B.E.1
Peskin, C.S.2
-
4
-
-
45149143078
-
A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid
-
Peskin C.S., and McQueen D.M. 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 (1989) 372-405
-
(1989)
J. Comput. Phys.
, vol.81
, Issue.2
, pp. 372-405
-
-
Peskin, C.S.1
McQueen, D.M.2
-
5
-
-
45149145362
-
A three-dimensional computational method for blood flow in the heart. II. Contractile fibers
-
McQueen D.M., and Peskin C.S. A three-dimensional computational method for blood flow in the heart. II. Contractile fibers. J. Comput. Phys. 82 2 (1989) 289-297
-
(1989)
J. Comput. Phys.
, vol.82
, Issue.2
, pp. 289-297
-
-
McQueen, D.M.1
Peskin, C.S.2
-
6
-
-
0028144286
-
Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets
-
Peskin C.S., and McQueen D.M. Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets. Am. J. Physiol. Heart Circ. Physiol. 266 1 (1994) H319-H328
-
(1994)
Am. J. Physiol. Heart Circ. Physiol.
, vol.266
, Issue.1
-
-
Peskin, C.S.1
McQueen, D.M.2
-
7
-
-
0002680335
-
Fluid dynamics of the heart and its valves
-
Othmer H.G., Adler F.R., Lewis M.A., and Dallon J.C. (Eds), Prentice-Hall, Englewood Cliffs, NJ, USA
-
Peskin C.S., and McQueen D.M. Fluid dynamics of the heart and its valves. In: Othmer H.G., Adler F.R., Lewis M.A., and Dallon J.C. (Eds). Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology (1996), Prentice-Hall, Englewood Cliffs, NJ, USA 309-337
-
(1996)
Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology
, pp. 309-337
-
-
Peskin, C.S.1
McQueen, D.M.2
-
8
-
-
0002329803
-
A three-dimensional computer model of the human heart for studying cardiac fluid dynamics
-
McQueen D.M., and Peskin C.S. A three-dimensional computer model of the human heart for studying cardiac fluid dynamics. Comput. Graphics 34 1 (2000) 56-60
-
(2000)
Comput. Graphics
, vol.34
, Issue.1
, pp. 56-60
-
-
McQueen, D.M.1
Peskin, C.S.2
-
9
-
-
0242643315
-
Heart simulation by an immersed boundary method with formal second-order accuracy and reduced numerical viscosity
-
Aref H., and Phillips J.W. (Eds), Kluwer Academic Publishers, Dordrecht
-
McQueen D.M., and Peskin C.S. Heart simulation by an immersed boundary method with formal second-order accuracy and reduced numerical viscosity. In: Aref H., and Phillips J.W. (Eds). Mechanics for a New Millennium, Proceedings of the 20th International Conference on Theoretical and Applied Mechanics (ICTAM 2000) (2001), Kluwer Academic Publishers, Dordrecht
-
(2001)
Mechanics for a New Millennium, Proceedings of the 20th International Conference on Theoretical and Applied Mechanics (ICTAM 2000)
-
-
McQueen, D.M.1
Peskin, C.S.2
-
10
-
-
85190567326
-
-
C.S. Peskin, Flow patterns around heart valves: a digital computer method for solving the equations of motion, Ph.D. Thesis, Albert Einstein College of Medicine, 1972.
-
-
-
-
11
-
-
0017424014
-
Numerical analysis of blood flow in the heart
-
Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 3 (1977) 220-252
-
(1977)
J. Comput. Phys.
, vol.25
, Issue.3
, pp. 220-252
-
-
Peskin, C.S.1
-
12
-
-
48749141209
-
Adaptive mesh refinement for hyperbolic partial-differential equations
-
Berger M.J., and Oliger J. Adaptive mesh refinement for hyperbolic partial-differential equations. J. Comput. Phys. 53 3 (1984) 484-512
-
(1984)
J. Comput. Phys.
, vol.53
, Issue.3
, pp. 484-512
-
-
Berger, M.J.1
Oliger, J.2
-
13
-
-
11744289966
-
Local adaptive mesh refinement for shock hydrodynamics
-
Berger M.J., and Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82 1 (1989) 64-84
-
(1989)
J. Comput. Phys.
, vol.82
, Issue.1
, pp. 64-84
-
-
Berger, M.J.1
Colella, P.2
-
14
-
-
0035273564
-
Strong stability-preserving high-order time discretization methods
-
Gottlieb S., Shu C.-W., and Tadmor E. Strong stability-preserving high-order time discretization methods. SIAM Rev. 43 1 (2001) 89-112
-
(2001)
SIAM Rev.
, vol.43
, Issue.1
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
15
-
-
21444442511
-
0-stable methods for the heat equation with time-dependent boundary conditions
-
0-stable methods for the heat equation with time-dependent boundary conditions. Adv. Comput. Math. 6 3-4 (1996) 333-352
-
(1996)
Adv. Comput. Math.
, vol.6
, Issue.3-4
, pp. 333-352
-
-
Twizell, E.H.1
Gumel, A.B.2
Arigu, M.A.3
-
16
-
-
0035505590
-
A Cartesian grid embedded boundary method for the heat equation on irregular domains
-
McCorquodale P., Colella P., and Johansen H. A Cartesian grid embedded boundary method for the heat equation on irregular domains. J. Comput. Phys. 173 2 (2001) 620-635
-
(2001)
J. Comput. Phys.
, vol.173
, Issue.2
, pp. 620-635
-
-
McCorquodale, P.1
Colella, P.2
Johansen, H.3
-
17
-
-
26844455510
-
Multidimensional upwind methods for hyperbolic conservation laws
-
Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 87 1 (1989) 171-200
-
(1989)
J. Comput. Phys.
, vol.87
, Issue.1
, pp. 171-200
-
-
Colella, P.1
-
18
-
-
0030078729
-
On the stability of Godunov-projection methods for incompressible flow
-
Minion M.L. On the stability of Godunov-projection methods for incompressible flow. J. Comput. Phys. 123 2 (1996) 435-449
-
(1996)
J. Comput. Phys.
, vol.123
, Issue.2
, pp. 435-449
-
-
Minion, M.L.1
-
19
-
-
0030210485
-
A projection method for locally refined grids
-
Minion M.L. A projection method for locally refined grids. J. Comput. Phys. 127 1 (1996) 158-178
-
(1996)
J. Comput. Phys.
, vol.127
, Issue.1
, pp. 158-178
-
-
Minion, M.L.1
-
20
-
-
0000037930
-
A cell-centered adaptive projection method for the incompressible Euler equations
-
Martin D.F., and Colella P. A cell-centered adaptive projection method for the incompressible Euler equations. J. Comput. Phys. 163 2 (2000) 271-312
-
(2000)
J. Comput. Phys.
, vol.163
, Issue.2
, pp. 271-312
-
-
Martin, D.F.1
Colella, P.2
-
21
-
-
84968510911
-
Numerical solution of the Navier-Stokes equations
-
Chorin A.J. Numerical solution of the Navier-Stokes equations. Math. Comput. 22 104 (1968) 745-762
-
(1968)
Math. Comput.
, vol.22
, Issue.104
, pp. 745-762
-
-
Chorin, A.J.1
-
22
-
-
84968483581
-
On the convergence of discrete approximations to the Navier-Stokes equations
-
Chorin A.J. On the convergence of discrete approximations to the Navier-Stokes equations. Math. Comput. 23 106 (1969) 341-353
-
(1969)
Math. Comput.
, vol.23
, Issue.106
, pp. 341-353
-
-
Chorin, A.J.1
-
23
-
-
0001608079
-
A second-order projection method for the incompressible Navier-Stokes equations
-
Bell J.B., Colella P., and Glaz H.M. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85 2 (1989) 257-283
-
(1989)
J. Comput. Phys.
, vol.85
, Issue.2
, pp. 257-283
-
-
Bell, J.B.1
Colella, P.2
Glaz, H.M.3
-
24
-
-
0008688174
-
A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
-
Almgren A.S., Bell J.B., Colella P., Howell L.H., and Welcome M.L. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys. 142 1 (1998) 1-46
-
(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
-
25
-
-
0034883943
-
Approximate projection methods: Part I. Inviscid analysis
-
Almgren A.S., Bell J.B., and Crutchfield W.Y. Approximate projection methods: Part I. Inviscid analysis. SIAM J. Sci. Comput. 22 4 (2000) 1139-1159
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.4
, pp. 1139-1159
-
-
Almgren, A.S.1
Bell, J.B.2
Crutchfield, W.Y.3
-
26
-
-
84966249747
-
Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis
-
Ewing R.E., Lazarov R.D., and Vassilevski P.S. Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis. Math. Comput. 56 194 (1991) 437-461
-
(1991)
Math. Comput.
, vol.56
, Issue.194
, pp. 437-461
-
-
Ewing, R.E.1
Lazarov, R.D.2
Vassilevski, P.S.3
-
27
-
-
85190567452
-
-
B.E. Griffith, Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method, Ph.D. Thesis, Courant Institute of Mathematical Sciences, New York University, 2005 also available from .
-
-
-
-
28
-
-
85190569639
-
-
M.-C. Lai, Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method, Ph.D. Thesis, Courant Institute of Mathematical Sciences, New York University, 1998.
-
-
-
-
29
-
-
0000868581
-
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
-
Lai M.-C., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 2 (2000) 705-719
-
(2000)
J. Comput. Phys.
, vol.160
, Issue.2
, pp. 705-719
-
-
Lai, M.-C.1
Peskin, C.S.2
-
30
-
-
33751544551
-
The immersed boundary method
-
Peskin C.S. The immersed boundary method. Acta Numer. 11 (2002) 479-517
-
(2002)
Acta Numer.
, vol.11
, pp. 479-517
-
-
Peskin, C.S.1
-
31
-
-
0036646919
-
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
-
Zhu L., and Peskin C.S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179 2 (2002) 452-468
-
(2002)
J. Comput. Phys.
, vol.179
, Issue.2
, pp. 452-468
-
-
Zhu, L.1
Peskin, C.S.2
-
32
-
-
0041324691
-
Interaction of two flapping filaments in a flowing soap film
-
Zhu L., and Peskin C.S. Interaction of two flapping filaments in a flowing soap film. Phys. Fluids 15 7 (2003) 1954-1960
-
(2003)
Phys. Fluids
, vol.15
, Issue.7
, pp. 1954-1960
-
-
Zhu, L.1
Peskin, C.S.2
-
33
-
-
0026226856
-
An algorithm for point clustering and grid generation
-
Berger M.J., and Rigoutsos I. An algorithm for point clustering and grid generation. IEEE Trans. Syst. Man Cybernet. 21 5 (1991) 1278-1286
-
(1991)
IEEE Trans. Syst. Man Cybernet.
, vol.21
, Issue.5
, pp. 1278-1286
-
-
Berger, M.J.1
Rigoutsos, I.2
-
34
-
-
33749190078
-
Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
-
Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 12 (1965) 2182-2189
-
(1965)
Phys. Fluids
, vol.8
, Issue.12
, pp. 2182-2189
-
-
Harlow, F.H.1
Welch, J.E.2
-
35
-
-
0000310338
-
A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
-
Almgren A.S., Bell J.B., and Szymczak W.G. A numerical method for the incompressible Navier-Stokes equations based on an approximate projection. SIAM J. Sci. Comput. 17 2 (1996) 358-369
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.2
, pp. 358-369
-
-
Almgren, A.S.1
Bell, J.B.2
Szymczak, W.G.3
-
36
-
-
85190570663
-
-
M.F. Lai, A projection method for reacting flow in the zero mach number limit, Ph.D. Thesis, University of California at Berkeley, 1993.
-
-
-
-
37
-
-
7244250225
-
Numerical approximations of singular source terms in differential equations
-
Tornberg A.-K., and Engquist B. Numerical approximations of singular source terms in differential equations. J. Comput. Phys. 200 2 (2004) 462-488
-
(2004)
J. Comput. Phys.
, vol.200
, Issue.2
, pp. 462-488
-
-
Tornberg, A.-K.1
Engquist, B.2
-
38
-
-
0031173537
-
An adaptive mesh projection method for viscous incompressible flow
-
Howell L.H., and Bell J.B. An adaptive mesh projection method for viscous incompressible flow. SIAM J. Sci. Comput. 18 4 (1997) 996-1013
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, Issue.4
, pp. 996-1013
-
-
Howell, L.H.1
Bell, J.B.2
-
39
-
-
0002531306
-
An unsplit 3D upwind method for hyperbolic conservation laws
-
Saltzman J. An unsplit 3D upwind method for hyperbolic conservation laws. J. Comput. Phys. 115 1 (1994) 153-168
-
(1994)
J. Comput. Phys.
, vol.115
, Issue.1
, pp. 153-168
-
-
Saltzman, J.1
-
40
-
-
0000135764
-
Accurate projection methods for the incompressible Navier-Stokes equations
-
Brown D.L., Cortez R., and Minion M.L. Accurate projection methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 168 2 (2001) 464-499
-
(2001)
J. Comput. Phys.
, vol.168
, Issue.2
, pp. 464-499
-
-
Brown, D.L.1
Cortez, R.2
Minion, M.L.3
-
42
-
-
0000714458
-
Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods
-
Tu C., and Peskin C.S. Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods. SIAM J. Sci. Stat. Comput. 13 6 (1992) 1361-1376
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, Issue.6
, pp. 1361-1376
-
-
Tu, C.1
Peskin, C.S.2
-
43
-
-
0001417748
-
An implicit numerical method for fluid dynamics problems with immersed elastic boundaries
-
Fluid Dynamics in Biology: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference. Cheer A.Y., and van Dam C.P. (Eds), American Mathematical Society, Providence, RI, USA
-
Mayo A.A., and Peskin C.S. An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. In: Cheer A.Y., and van Dam C.P. (Eds). Fluid Dynamics in Biology: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference. Contemporary Mathematics vol. 140 (1993), American Mathematical Society, Providence, RI, USA 261-277
-
(1993)
Contemporary Mathematics
, vol.140
, pp. 261-277
-
-
Mayo, A.A.1
Peskin, C.S.2
-
44
-
-
0031129202
-
Immersed interface methods for Stokes flow with elastic boundaries or surface tension
-
LeVeque R.J., and Li Z. Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput. 18 3 (1997) 709-735
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, Issue.3
, pp. 709-735
-
-
LeVeque, R.J.1
Li, Z.2
-
45
-
-
2942543066
-
An immersed interface method for incompressible Navier-Stokes equations
-
Lee L., and LeVeque R.J. An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 25 3 (2003) 832-856
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, Issue.3
, pp. 832-856
-
-
Lee, L.1
LeVeque, R.J.2
-
46
-
-
0003950237
-
-
Saunders, Philadelphia, PA, USA
-
Guyton A.C., and Hall J.E. Textbook of Medical Physiology. tenth ed. (2000), Saunders, Philadelphia, PA, USA
-
(2000)
Textbook of Medical Physiology. tenth ed.
-
-
Guyton, A.C.1
Hall, J.E.2
-
47
-
-
85190570830
-
-
SAMRAI: structured adaptive mesh refinement application infrastructure. Available from: .
-
-
-
-
48
-
-
85190567927
-
-
A.M. Wissink, R.D. Hornung, S.R. Kohn, S.G.S.N. Elliott, Large scale parallel structured AMR calculations using the SAMRAI framework, in: Proceedings of the SC01 Conference on High Performance Networking and Computing, Denver, CO, USA, 2001, also available as LLNL Technical Report UCRL-JC-144755.
-
-
-
-
49
-
-
0037171879
-
Managing application complexity in the SAMRAI object-oriented framework
-
Hornung R.D., and Kohn S.R. Managing application complexity in the SAMRAI object-oriented framework. Concurr. Comp.: Pract. E. 14 5 (2002) 347-368
-
(2002)
Concurr. Comp.: Pract. E.
, vol.14
, Issue.5
, pp. 347-368
-
-
Hornung, R.D.1
Kohn, S.R.2
-
50
-
-
1142305194
-
Enhancing scalability of parallel structured AMR calculations
-
ACM Press, New York, NY, USA also available as LLNL Technical Report UCRL-JC-151791
-
Wissink A.M., Hysom D., and Hornung R.D. Enhancing scalability of parallel structured AMR calculations. Proceedings of the 17th ACM International Conference on Supercomputing (ICS03) (2003), ACM Press, New York, NY, USA 336-347 also available as LLNL Technical Report UCRL-JC-151791
-
(2003)
Proceedings of the 17th ACM International Conference on Supercomputing (ICS03)
, pp. 336-347
-
-
Wissink, A.M.1
Hysom, D.2
Hornung, R.D.3
-
51
-
-
85190572717
-
-
S. Balay, K. Buschelman, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, B.F. Smith, H. Zhang, PETSc Web page, http://www.mcs.anl.gov/petsc.
-
-
-
-
52
-
-
85190570170
-
-
S. Balay, K. Buschelman, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, B.F. Smith, H. Zhang, PETSc users manual, Technical Report ANL-95/11 - Revision 2.1.5, Argonne National Laboratory, 2004.
-
-
-
-
53
-
-
0002515487
-
Efficient management of parallelism in object oriented numerical software libraries
-
Arge E., Bruaset A.M., and Langtangen H.P. (Eds), Birkhäuser, Basel
-
Balay S., Eijkhout V., Gropp W.D., McInnes L.C., and Smith B.F. Efficient management of parallelism in object oriented numerical software libraries. In: Arge E., Bruaset A.M., and Langtangen H.P. (Eds). Modern Software Tools in Scientific Computing (1997), Birkhäuser, Basel 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
-
54
-
-
85190569266
-
-
hypre: High performance preconditioners. Available from: .
-
-
-
-
55
-
-
84886852494
-
hypre: a library of high performance preconditioners
-
Computational Science - ICCS 2002 Part III. Sloot P.M.A., Tan C.J.K., Dongarra J.J., and Hoekstra A.G. (Eds), Springer, Berlin also available as LLNL Technical Report UCRL-JC-146175
-
Falgout R.D., and Yang U.M. hypre: a library of high performance preconditioners. In: Sloot P.M.A., Tan C.J.K., Dongarra J.J., and Hoekstra A.G. (Eds). Computational Science - ICCS 2002 Part III. Lecture Notes in Computer Science vol. 2331 (2002), Springer, Berlin 632-641 also available as LLNL Technical Report UCRL-JC-146175
-
(2002)
Lecture Notes in Computer Science
, vol.2331
, pp. 632-641
-
-
Falgout, R.D.1
Yang, U.M.2
|