-
1
-
-
0031699678
-
Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues
-
Almeida E.S., and Spilker R.L. Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues. Comput. Meth. Appl. Mech. Eng. 151 (1998) 513-538
-
(1998)
Comput. Meth. Appl. Mech. Eng.
, vol.151
, pp. 513-538
-
-
Almeida, E.S.1
Spilker, R.L.2
-
2
-
-
34547123000
-
-
S. Balay, K. Buschelman, W.D. Gropp, D. Kaushik, G.M. Knepley, L.C. McInnes, F.B. Smith, H. Zhang, PETSc: Portable Extensible toolkit for Scientific computation 〈http://www.mcs.anl.gov/pets〉.
-
-
-
-
3
-
-
0003473816
-
-
SIAM, Philadelphia, PA
-
Barrett R., Berry M., Chan T.F., Demmel J., Donato J., Dongarra J., Eijkhout V., Pozo R., Romine C., and Van der Vorst H. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. second ed. (1994), SIAM, Philadelphia, PA
-
(1994)
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. second ed.
-
-
Barrett, R.1
Berry, M.2
Chan, T.F.3
Demmel, J.4
Donato, J.5
Dongarra, J.6
Eijkhout, V.7
Pozo, R.8
Romine, C.9
Van der Vorst, H.10
-
4
-
-
34547097118
-
-
R. Bramley, X. Wang, SPLIB: A Library of Iterative Methods for Sparse Linear Systems, Department of Computer Science, Indiana University, Bloomington, IN, 1997 〈http://www.cs.indiana.edu/ftp/bramley/splib.tar.gz〉.
-
-
-
-
5
-
-
0030298120
-
A three-dimensional finite element method for large elastic deformations of ventricular myocardum: I-Cylindrical and spherical polar coordinates
-
Costa K.D., Hunter P.J., Rogers J.M., Guccione J.M., Waldman L.K., and McCulloch A.D. A three-dimensional finite element method for large elastic deformations of ventricular myocardum: I-Cylindrical and spherical polar coordinates. Trans. ASME J. Biomech. Eng. 118 4 (1996) 452-463
-
(1996)
Trans. ASME J. Biomech. Eng.
, vol.118
, Issue.4
, pp. 452-463
-
-
Costa, K.D.1
Hunter, P.J.2
Rogers, J.M.3
Guccione, J.M.4
Waldman, L.K.5
McCulloch, A.D.6
-
6
-
-
0030298566
-
A three-dimensional finite element method for large elastic deformations of ventricular myocardum: II-Prolate spheroidal coordinates
-
Costa K.D., Hunter P.J., Wayne J.S., Waldman L.K., Guccione J.M., and McCulloch A.D. A three-dimensional finite element method for large elastic deformations of ventricular myocardum: II-Prolate spheroidal coordinates. Trans. ASME J. Biomech. Eng. 118 4 (1996) 464-472
-
(1996)
Trans. ASME J. Biomech. Eng.
, vol.118
, Issue.4
, pp. 464-472
-
-
Costa, K.D.1
Hunter, P.J.2
Wayne, J.S.3
Waldman, L.K.4
Guccione, J.M.5
McCulloch, A.D.6
-
7
-
-
0025247026
-
Diffusion of fluids through transversely isotropic solids
-
Dai F., and Rajagopal K.R. Diffusion of fluids through transversely isotropic solids. Acta Mech. 82 (1990) 61-98
-
(1990)
Acta Mech.
, vol.82
, pp. 61-98
-
-
Dai, F.1
Rajagopal, K.R.2
-
8
-
-
0026866206
-
Automated adaptive analysis of the biphasic equations for soft tissue mechanics using a posteriori error indicators
-
Donzelli P.S., Spilker R.L., Baehmann P.L., Niu Q., and Shephard M.S. Automated adaptive analysis of the biphasic equations for soft tissue mechanics using a posteriori error indicators. Int. J. Numer. Methods Eng. 34 3 (1992) 1015-1033
-
(1992)
Int. J. Numer. Methods Eng.
, vol.34
, Issue.3
, pp. 1015-1033
-
-
Donzelli, P.S.1
Spilker, R.L.2
Baehmann, P.L.3
Niu, Q.4
Shephard, M.S.5
-
9
-
-
0029138959
-
Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution
-
Finite Element Methods in Large-scale Computational Fluid Dynamics, Tokyo, 1994
-
Farhat C., Lesoinne M., and Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution. Int. J. Numer. Methods Fluids 21 10 (1995) 807-835 Finite Element Methods in Large-scale Computational Fluid Dynamics, Tokyo, 1994
-
(1995)
Int. J. Numer. Methods Fluids
, vol.21
, Issue.10
, pp. 807-835
-
-
Farhat, C.1
Lesoinne, M.2
Maman, N.3
-
11
-
-
33646757535
-
Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows
-
Geller S., Krafczyk M., Tölke J., Turek S., and Hron J. Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Comput. & Fluids 35 (2006) 888-897
-
(2006)
Comput. & Fluids
, vol.35
, pp. 888-897
-
-
Geller, S.1
Krafczyk, M.2
Tölke, J.3
Turek, S.4
Hron, J.5
-
13
-
-
0031381116
-
Stokes flow in collapsible tubes: computation and experiment
-
Heil M. Stokes flow in collapsible tubes: computation and experiment. J. Fluid Mech. 353 (1997) 285-312
-
(1997)
J. Fluid Mech.
, vol.353
, pp. 285-312
-
-
Heil, M.1
-
14
-
-
0032529171
-
Stokes flow in an elastic tube-a large-displacement fluid-structure interaction problem
-
Heil M. Stokes flow in an elastic tube-a large-displacement fluid-structure interaction problem. Int. J. Numer. Methods Fluids 28 2 (1998) 243-265
-
(1998)
Int. J. Numer. Methods Fluids
, vol.28
, Issue.2
, pp. 243-265
-
-
Heil, M.1
-
15
-
-
33745440308
-
Material identification of nonlinear solids infused with a fluid
-
Hron J., Humphrey J.D., and Rajagopal K.R. Material identification of nonlinear solids infused with a fluid. Math. Mech. Solids 7 6 (2002) 629-646
-
(2002)
Math. Mech. Solids
, vol.7
, Issue.6
, pp. 629-646
-
-
Hron, J.1
Humphrey, J.D.2
Rajagopal, K.R.3
-
16
-
-
0025469241
-
Determination of a constitutive relation for passive myocardium: I. A new functional form
-
Humphrey J.D., Strumpf R.K., and Yin F.C.P. Determination of a constitutive relation for passive myocardium: I. A new functional form. J. Biomech. Eng. 112 3 (1990) 333-339
-
(1990)
J. Biomech. Eng.
, vol.112
, Issue.3
, pp. 333-339
-
-
Humphrey, J.D.1
Strumpf, R.K.2
Yin, F.C.P.3
-
17
-
-
0025472075
-
Determination of a constitutive relation for passive myocardium: II. Parameter estimation
-
Humphrey J.D., Strumpf R.K., and Yin F.C.P. Determination of a constitutive relation for passive myocardium: II. Parameter estimation. J. Biomech. Eng. 112 3 (1990) 340-346
-
(1990)
J. Biomech. Eng.
, vol.112
, Issue.3
, pp. 340-346
-
-
Humphrey, J.D.1
Strumpf, R.K.2
Yin, F.C.P.3
-
18
-
-
0033076316
-
Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes
-
Koobus B., and Farhat C. Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Comput. Methods Appl. Mech. Eng. 170 1-2 (1999) 103-129
-
(1999)
Comput. Methods Appl. Mech. Eng.
, vol.170
, Issue.1-2
, pp. 103-129
-
-
Koobus, B.1
Farhat, C.2
-
19
-
-
0025260670
-
A finite deformation theory for cartilage and other soft hydrated connective tissues-I, Equilibrium results
-
Kwan M.K., Lai M.W., and Mow V.C. A finite deformation theory for cartilage and other soft hydrated connective tissues-I, Equilibrium results. J. Biomech. 23 2 (1990) 145-155
-
(1990)
J. Biomech.
, vol.23
, Issue.2
, pp. 145-155
-
-
Kwan, M.K.1
Lai, M.W.2
Mow, V.C.3
-
20
-
-
0034555195
-
Numerical analysis of a linearised fluid-structure interaction problem
-
Le Tallec P., and Mani S. Numerical analysis of a linearised fluid-structure interaction problem. Numer. Math. 87 2 (2000) 317-354
-
(2000)
Numer. Math.
, vol.87
, Issue.2
, pp. 317-354
-
-
Le Tallec, P.1
Mani, S.2
-
21
-
-
0001245692
-
Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues
-
Levenston M.E., Frank E.H., and Grodzinsky A.J. Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues. Comput. Meth. Appl. Mech. Eng. 156 (1998) 231-246
-
(1998)
Comput. Meth. Appl. Mech. Eng.
, vol.156
, pp. 231-246
-
-
Levenston, M.E.1
Frank, E.H.2
Grodzinsky, A.J.3
-
22
-
-
0003692407
-
-
Springer, Berlin
-
Maurel W., Wu Y., Thalmann N.M., and Thalmann D. Biomechanical models for soft tissue simulation, ESPRIT Basic Research Series (1998), Springer, Berlin
-
(1998)
Biomechanical models for soft tissue simulation, ESPRIT Basic Research Series
-
-
Maurel, W.1
Wu, Y.2
Thalmann, N.M.3
Thalmann, D.4
-
23
-
-
0032223911
-
Modeling surgical loads to account for subsurface tissue deformation during stereotactic neurosurgery
-
Miga M.I., Paulsen K.D., Kennedy F.E., Hoopes P.J., Hartov D.W., and Roberts A. Modeling surgical loads to account for subsurface tissue deformation during stereotactic neurosurgery. IEEE SPIE Proceedings of Laser-Tissue Interaction IX, Part B: Soft-tissue Modeling vol. 3254 (1998) 501-511
-
(1998)
IEEE SPIE Proceedings of Laser-Tissue Interaction IX, Part B: Soft-tissue Modeling
, vol.3254
, pp. 501-511
-
-
Miga, M.I.1
Paulsen, K.D.2
Kennedy, F.E.3
Hoopes, P.J.4
Hartov, D.W.5
Roberts, A.6
-
24
-
-
0023525895
-
A mixture approach to the mechanics of skin
-
Oomens C.W.J., and van Campen D.H. A mixture approach to the mechanics of skin. J. Biomech. 20 9 (1987) 877-885
-
(1987)
J. Biomech.
, vol.20
, Issue.9
, pp. 877-885
-
-
Oomens, C.W.J.1
van Campen, D.H.2
-
25
-
-
0032934424
-
A computational model for tracking subsurface tissue deformation during stereotactic neurosurgery
-
Paulsen K.D., Miga M.I., Kennedy F.E., Hoopes P.J., Hartov A., and Roberts D.W. A computational model for tracking subsurface tissue deformation during stereotactic neurosurgery. IEEE Trans. Biomed. Eng. 46 2 (1999) 213-225
-
(1999)
IEEE Trans. Biomed. Eng.
, vol.46
, Issue.2
, pp. 213-225
-
-
Paulsen, K.D.1
Miga, M.I.2
Kennedy, F.E.3
Hoopes, P.J.4
Hartov, A.5
Roberts, D.W.6
-
26
-
-
0037201145
-
Implicit fluid-structure coupling for simulation of cardiovascular problems
-
Penrose J.M.T., and Staples C.J. Implicit fluid-structure coupling for simulation of cardiovascular problems. Int. J. Numer. Methods Fluids 40 (2002) 467-478
-
(2002)
Int. J. Numer. Methods Fluids
, vol.40
, pp. 467-478
-
-
Penrose, J.M.T.1
Staples, C.J.2
-
27
-
-
0017424014
-
Numerical analysis of blood flow in the heart
-
Peskin C.S. Numerical analysis of blood flow in the heart. J. Computat. Phys. 25 3 (1977) 220-252
-
(1977)
J. Computat. Phys.
, vol.25
, Issue.3
, pp. 220-252
-
-
Peskin, C.S.1
-
28
-
-
0019931907
-
-
C.S. Peskin, The fluid dynamics of heart valves: experimental, theoretical, and computational methods, in: Annual Review of Fluid Mechanics, vol. 14, Annual Reviews, Palo Alto, CA, 1982, pp. 235-259.
-
-
-
-
29
-
-
85025757493
-
Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
-
Peskin C.S., and McQueen D.M. Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. J. Comput. Phys. 37 1 (1980) 113-132
-
(1980)
J. Comput. Phys.
, vol.37
, Issue.1
, pp. 113-132
-
-
Peskin, C.S.1
McQueen, D.M.2
-
30
-
-
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
-
31
-
-
0012719761
-
Modeling the cardiovascular system: a mathematical challenge
-
Engquist B., and Schmid W. (Eds), Springer, Berlin
-
Quarteroni A. Modeling the cardiovascular system: a mathematical challenge. In: Engquist B., and Schmid W. (Eds). Mathematics Unlimited-2001 and Beyond (2001), Springer, Berlin 961-972
-
(2001)
Mathematics Unlimited-2001 and Beyond
, pp. 961-972
-
-
Quarteroni, A.1
-
32
-
-
84902343352
-
Computational vascular fluid dynamics: problems, models and methods
-
Quarteroni A., Tuveri M., and Veneziani A. Computational vascular fluid dynamics: problems, models and methods. Comput. Visual. Sci. 2 4 (2000) 163-197
-
(2000)
Comput. Visual. Sci.
, vol.2
, Issue.4
, pp. 163-197
-
-
Quarteroni, A.1
Tuveri, M.2
Veneziani, A.3
-
33
-
-
0004254143
-
-
World Scientific Publishing Co. Inc., River Edge, NJ
-
Rajagopal K.R., and Tao L. Mechanics of Mixtures (1995), World Scientific Publishing Co. Inc., River Edge, NJ
-
(1995)
Mechanics of Mixtures
-
-
Rajagopal, K.R.1
Tao, L.2
-
34
-
-
0032098779
-
Steady diffusion within a finitely extended mixture slab
-
Reynolds R.A., and Humphrey J.D. Steady diffusion within a finitely extended mixture slab. Math. Mech. Solids 3 2 (1998) 127-147
-
(1998)
Math. Mech. Solids
, vol.3
, Issue.2
, pp. 127-147
-
-
Reynolds, R.A.1
Humphrey, J.D.2
-
35
-
-
0038734699
-
On equilibria in the interaction of fluids and elastic solids
-
World Scientific Publishing, River Edge, NJ
-
Rumpf M. On equilibria in the interaction of fluids and elastic solids. Theory of the Navier-Stokes Equations (1998), World Scientific Publishing, River Edge, NJ 136-158
-
(1998)
Theory of the Navier-Stokes Equations
, pp. 136-158
-
-
Rumpf, M.1
-
36
-
-
0030118725
-
A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems: a finite element implementation
-
Sackinger P.A., Schunk P.R., and Rao R.R. A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems: a finite element implementation. J. Comput. Phys. 125 1 (1996) 83-103
-
(1996)
J. Comput. Phys.
, vol.125
, Issue.1
, pp. 83-103
-
-
Sackinger, P.A.1
Schunk, P.R.2
Rao, R.R.3
-
37
-
-
34547135812
-
-
J.J. Shi, Application of theory of a Newtonian fluid and an isotropic non-linear elastic solid to diffusion problems, Ph.D. Thesis, University of Michigan, Ann Arbor, 1973.
-
-
-
-
38
-
-
0025659891
-
Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues
-
Spilker R.L., and Suh J.K. Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues. Comput. Struct., Front. Comput. Mech. 35 4 (1990) 425-439
-
(1990)
Comput. Struct., Front. Comput. Mech.
, vol.35
, Issue.4
, pp. 425-439
-
-
Spilker, R.L.1
Suh, J.K.2
-
39
-
-
0024181026
-
Finite element formulation of the nonlinear biphasic model for articular cartilage and hydrated soft tissues including strain-dependent permeability
-
Spilker R.L., Suh J.K., and Mow V.C. Finite element formulation of the nonlinear biphasic model for articular cartilage and hydrated soft tissues including strain-dependent permeability. Comput. Meth. Bioeng. 9 (1988) 81-92
-
(1988)
Comput. Meth. Bioeng.
, vol.9
, pp. 81-92
-
-
Spilker, R.L.1
Suh, J.K.2
Mow, V.C.3
-
40
-
-
0026261127
-
Penalty finite element analysis for non-linear mechanics of biphasic hydrated soft tissue under large deformation
-
Suh J.K., Spilker R.L., and Holmes M.H. Penalty finite element analysis for non-linear mechanics of biphasic hydrated soft tissue under large deformation. Int. J. Numer. Methods Eng. 32 7 (1991) 1411-1439
-
(1991)
Int. J. Numer. Methods Eng.
, vol.32
, Issue.7
, pp. 1411-1439
-
-
Suh, J.K.1
Spilker, R.L.2
Holmes, M.H.3
-
41
-
-
34547117991
-
-
C. Truesdell, A First Course in Rational Continuum Mechanics, vol. 1, second ed., Academic Press, Boston, MA, 1991.
-
-
-
-
42
-
-
0005255163
-
Poroelasticity of saturated solids with an application to blood perfusion
-
Vankan W.J., Huyghe J.M., Janssen J.D., and Huson A. Poroelasticity of saturated solids with an application to blood perfusion. Int. J. Eng. Sci. 34 9 (1996) 1019-1031
-
(1996)
Int. J. Eng. Sci.
, vol.34
, Issue.9
, pp. 1019-1031
-
-
Vankan, W.J.1
Huyghe, J.M.2
Janssen, J.D.3
Huson, A.4
-
43
-
-
0005252533
-
Finite element analysis of blood flow through biological tissue
-
Vankan W.J., Huyghe J.M., Janssen J.D., and Huson A. Finite element analysis of blood flow through biological tissue. Int. J. Eng. Sci. 35 4 (1997) 375-385
-
(1997)
Int. J. Eng. Sci.
, vol.35
, Issue.4
, pp. 375-385
-
-
Vankan, W.J.1
Huyghe, J.M.2
Janssen, J.D.3
Huson, A.4
-
44
-
-
0027795115
-
Hybrid and mixed-penalty finite elements for 3-d analysis of soft hydrated tissue
-
Vermilyea M.E., and Spilker R.L. Hybrid and mixed-penalty finite elements for 3-d analysis of soft hydrated tissue. Int. J. Numer. Meth. Eng. 36 24 (1993) 4223-4243
-
(1993)
Int. J. Numer. Meth. Eng.
, vol.36
, Issue.24
, pp. 4223-4243
-
-
Vermilyea, M.E.1
Spilker, R.L.2
-
45
-
-
0031224961
-
Dynamics of human milk extraction: a comparative study of breast-feeding and breast pumping
-
Zoppou C., Barry S.I., and Mercer G.N. Dynamics of human milk extraction: a comparative study of breast-feeding and breast pumping. Bull. Math. Biol. 59 5 (1997) 953-973
-
(1997)
Bull. Math. Biol.
, vol.59
, Issue.5
, pp. 953-973
-
-
Zoppou, C.1
Barry, S.I.2
Mercer, G.N.3
|