-
1
-
-
0036924061
-
An introduction to multipoint flux approximations for quadrilateral grids
-
I. Aavatsmark, An introduction to multipoint flux approximations for quadrilateral grids, Comput. Geosci., 6 (2002), pp. 405-432.
-
(2002)
Comput. Geosci.
, vol.6
, pp. 405-432
-
-
Aavatsmark, I.1
-
2
-
-
0003796630
-
-
Academic Press, New York
-
R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
3
-
-
0032170064
-
Continuous and discrete mathematical models of tumor-induced angiogenesis
-
A. R. A. Anderson and M. A. J. Chaplain, Continuous and discrete mathematical models of tumor-induced angiogenesis, Bull. Math. Biol., 60 (1998), pp. 857-900.
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 857-900
-
-
Anderson, A.R.A.1
Chaplain, M.A.J.2
-
4
-
-
11744378418
-
Enhanced cell-centered finite differences for elliptic equations on general geometry
-
T. Arbogast, C. N. Dawson, P. T. Keenan, M. F. Wheeler, and I. Yotov, Enhanced cell-centered finite differences for elliptic equations on general geometry, SIAM J. Sci. Comput., 19 (1998), pp. 404-425.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 404-425
-
-
Arbogast, T.1
Dawson, C.N.2
Keenan, P.T.3
Wheeler, M.F.4
Yotov, I.5
-
5
-
-
0000439432
-
A characteristics-mixed finite element method for advection-dominated transport problems
-
T. Arbogast and M. F. Wheeler, A characteristics-mixed finite element method for advection-dominated transport problems, SIAM J. Numer. Anal., 32 (1995), pp. 404-424.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 404-424
-
-
Arbogast, T.1
Wheeler, M.F.2
-
6
-
-
0042675341
-
Logically rectangular mixed methods for groundwater flow and transport on general geometry
-
in A. Peters, G. Wittum, B. Herrling, U. Meissner, C. Brebbia, W. Gray, and G. Pinder, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands
-
T. Arbogast, M. F. Wheeler, and I. Yotov, Logically rectangular mixed methods for groundwater flow and transport on general geometry, in Computational Methods in Water Resources X, A. Peters, G. Wittum, B. Herrling, U. Meissner, C. Brebbia, W. Gray, and G. Pinder, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994, pp. 149-156.
-
(1994)
Computational Methods in Water Resources X
, pp. 149-156
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
7
-
-
0029727329
-
Logically rectangular mixed methods for flow in irregular, heterogeneous domains
-
in A. A. Aldama, J. Aparicio, C. Brebbia, W. Gray, I. Herrera, and G. Pinder, eds., Computational Mechanics Publications, Southampton, UK
-
T. Arbogast, M. F. Wheeler, and I. Yotov, Logically rectangular mixed methods for flow in irregular, heterogeneous domains, in Computational Methods in Water Resources XI, A. A. Aldama, J. Aparicio, C. Brebbia, W. Gray, I. Herrera, and G. Pinder, eds., Computational Mechanics Publications, Southampton, UK, 1996, pp. 621-628.
-
(1996)
Computational Methods in Water Resources XI
, pp. 621-628
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
8
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
-
T. Arbogast, M. F. Wheeler, and I. Yotov, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. Numer. Anal., 34 (1997), pp. 828-852.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 828-852
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
9
-
-
0026388078
-
Angiogenesis in wound healing
-
F. Arnold and D. C. West, Angiogenesis in wound healing, Pharmac. Ther., 52 (1991), pp. 407-422.
-
(1991)
Pharmac. Ther.
, vol.52
, pp. 407-422
-
-
Arnold, F.1
West, D.C.2
-
10
-
-
0022253881
-
A mathematical model of tumour-induced capillary growth
-
D. Balding and D. L. S. McElwain, A mathematical model of tumour-induced capillary growth, J. Theoret. Biol., 114 (1985), pp. 53-73.
-
(1985)
J. Theoret. Biol.
, vol.114
, pp. 53-73
-
-
Balding, D.1
McElwain, D.L.S.2
-
12
-
-
0029294735
-
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
-
H. M. Byrne and M. A. J. Chaplain, Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions, Bull. Math. Biol., 57 (1995), pp. 461-486.
-
(1995)
Bull. Math. Biol.
, vol.57
, pp. 461-486
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
13
-
-
0029422302
-
The mathematical modelling of tumour angiogenesis and invasion
-
M. A. J. Chaplain, The mathematical modelling of tumour angiogenesis and invasion, Acta Biotheor., 43 (1995), pp. 387-402.
-
(1995)
Acta Biotheor.
, vol.43
, pp. 387-402
-
-
Chaplain, M.A.J.1
-
14
-
-
77957176863
-
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor
-
M. A. J. Chaplain and A. M. Stuart, A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor, IMA J. Math. Appl. Med. Biol., 10 (1993), pp. 149-168.
-
(1993)
IMA J. Math. Appl. Med. Biol.
, vol.10
, pp. 149-168
-
-
Chaplain, M.A.J.1
Stuart, A.M.2
-
15
-
-
0002343241
-
Time-splitting methods for advection-diffusion-reaction equations arising in contaminant transport
-
in R. E. O'Malley, Jr., ed., SIAM, Philadelphia
-
C. N. Dawson and M. F. Wheeler, Time-splitting methods for advection-diffusion-reaction equations arising in contaminant transport, in Proceedings of the Second International Conference on Industrial and Applied Mathematics, ICIAM'91, R. E. O'Malley, Jr., ed., SIAM, Philadelphia, 1992, pp. 71-82.
-
(1992)
Proceedings of the Second International Conference on Industrial and Applied Mathematics, ICIAM'91
, pp. 71-82
-
-
Dawson, C.N.1
Wheeler, M.F.2
-
17
-
-
0026203036
-
Superconvergence of the velocity along the Gauss lines in mixed finite element methods
-
R. E. Ewing, R. D. Lazarov, and J. Wang, Superconvergence of the velocity along the Gauss lines in mixed finite element methods, SIAM J. Numer. Anal., 28 (1991), pp. 1015-1029.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1015-1029
-
-
Ewing, R.E.1
Lazarov, R.D.2
Wang, J.3
-
18
-
-
0028929803
-
Angiogenesis in cancer, vascular, rheumatoid and other disease
-
J. Folkman, Angiogenesis in cancer, vascular, rheumatoid and other disease, Nat. Med., 1 (1995), pp. 21-23.
-
(1995)
Nat. Med.
, vol.1
, pp. 21-23
-
-
Folkman, J.1
-
19
-
-
0026935907
-
Mechanisms of placental invasion of the uterus and their control
-
C. H. Graham and P. K. Lala, Mechanisms of placental invasion of the uterus and their control, Biochem. Cell Biol., 70 (1992), pp. 867-874.
-
(1992)
Biochem. Cell Biol.
, vol.70
, pp. 867-874
-
-
Graham, C.H.1
Lala, P.K.2
-
20
-
-
0037370841
-
Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems
-
J. F. Kanney, C. T. Miller, and C. T. Kelley, Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems, Adv. in Water Res., 26 (2003), pp. 247-261.
-
(2003)
Adv. in Water Res.
, vol.26
, pp. 247-261
-
-
Kanney, J.F.1
Miller, C.T.2
Kelley, C.T.3
-
21
-
-
0017369334
-
Diffusion model of tumor vascularization
-
L. A. Liotta, G. M. Saidel, and J. Kleinerman, Diffusion model of tumor vascularization, Bull. Math. Biol., 39 (1977), pp. 117-128.
-
(1977)
Bull. Math. Biol.
, vol.39
, pp. 117-128
-
-
Liotta, L.A.1
Saidel, G.M.2
Kleinerman, J.3
-
22
-
-
0030268207
-
A mathematical model of growth factor induced capillary growth in the retina
-
S. A. Maggelakis and A. E. Savakis, A mathematical model of growth factor induced capillary growth in the retina, Math. Comput. Modelling, 24 (1996), pp. 33-41.
-
(1996)
Math. Comput. Modelling
, vol.24
, pp. 33-41
-
-
Maggelakis, S.A.1
Savakis, A.E.2
-
23
-
-
0033064931
-
A mathematical model of retinal neovascularization
-
S. A. Maggelakis and A. E. Savakis, A mathematical model of retinal neovascularization, Math. Comput. Modelling, 29 (1999), pp. 91-97.
-
(1999)
Math. Comput. Modelling
, vol.29
, pp. 91-97
-
-
Maggelakis, S.A.1
Savakis, A.E.2
-
24
-
-
0036664608
-
Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies
-
S. R. McDougall, A. R. A. Anderson, M. A. J. Chaplain, and J. A. Sherratt, Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies, Bull. Math. Biol., 64 (2002), pp. 673-702.
-
(2002)
Bull. Math. Biol.
, vol.64
, pp. 673-702
-
-
McDougall, S.R.1
Anderson, A.R.A.2
Chaplain, M.A.J.3
Sherratt, J.A.4
-
25
-
-
0022335138
-
Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains
-
in J. R. Whiteman, ed., Academic Press, London
-
M. Nakata, A. Weiser, and M. F. Wheeler, Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains, in The Mathematics of Finite Elements and Applications V, J. R. Whiteman, ed., Academic Press, London, 1985, pp. 367-389.
-
(1985)
The Mathematics of Finite Elements and Applications V
, pp. 367-389
-
-
Nakata, M.1
Weiser, A.2
Wheeler, M.F.3
-
26
-
-
0030161443
-
A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching
-
M. E. Orme and M. A. J. Chaplain, A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching, IMA J. Math. Appl. Med. Biol., 13 (1996), pp. 73-98.
-
(1996)
IMA J. Math. Appl. Med. Biol.
, vol.13
, pp. 73-98
-
-
Orme, M.E.1
Chaplain, M.A.J.2
-
27
-
-
0031230846
-
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies
-
M. E. Orme and M. A. J. Chaplain, Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies, IMA J. Math. Appl. Med. Biol., 14 (1997), pp. 189-205.
-
(1997)
IMA J. Math. Appl. Med. Biol.
, vol.14
, pp. 189-205
-
-
Orme, M.E.1
Chaplain, M.A.J.2
-
28
-
-
34547393188
-
On the role of angiogenesis in wound healing
-
G. Petter, M. A. J. Chaplain, D. L. S. McElwain, and H. M. Byrne, On the role of angiogenesis in wound healing, Proc. Roy. Soc. London Ser. B, 263 (1996), pp. 1487-1493.
-
(1996)
Proc. Roy. Soc. London Ser. B
, vol.263
, pp. 1487-1493
-
-
Petter, G.1
Chaplain, M.A.J.2
McElwain, D.L.S.3
Byrne, H.M.4
-
29
-
-
0001175293
-
A mixed finite element method for 2nd order elliptic problems
-
in Mathematical Aspects of the Finite Element Method, Springer-Verlag, New York
-
R. A. Raviart and J. M. Thomas, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of the Finite Element Method, Lecture Notes in Math. 606, Springer-Verlag, New York, 1977, pp. 292-315.
-
(1977)
Lecture Notes in Math.
, vol.606
, pp. 292-315
-
-
Raviart, R.A.1
Thomas, J.M.2
-
30
-
-
0025991093
-
Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis
-
C. L. Stokes and D. A. Lauffenburger, Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis, J. Theoret. Biol., 152 (1991), pp. 377-403.
-
(1991)
J. Theoret. Biol.
, vol.152
, pp. 377-403
-
-
Stokes, C.L.1
Lauffenburger, D.A.2
-
31
-
-
0025882274
-
Migration of individual microvessel endothelial cells: Stochastic model and parameter measurement
-
C. L. Stokes, D. A. Lauffenburger, and S. K. Williams, Migration of individual microvessel endothelial cells: Stochastic model and parameter measurement, J. Cell Sci., 99 (1991), pp. 419-430.
-
(1991)
J. Cell Sci.
, vol.99
, pp. 419-430
-
-
Stokes, C.L.1
Lauffenburger, D.A.2
Williams, S.K.3
-
32
-
-
10444240125
-
-
Ph.D. thesis, The University of Texas at Austin, Austin, TX
-
S. Sun, Discontinuous Galerkin Methods for Reactive Transport in Porous Media, Ph.D. thesis, The University of Texas at Austin, Austin, TX, 2003.
-
(2003)
Discontinuous Galerkin Methods for Reactive Transport in Porous Media
-
-
Sun, S.1
-
33
-
-
22244491585
-
A combined mixed finite element and discontinuous Galerkin method for miscible displacement problems in porous media
-
in Kluwer, Plenum, New York
-
S. Sun, B. Rivière, and M. F. Wheeler, A combined mixed finite element and discontinuous Galerkin method for miscible displacement problems in porous media, in Recent Progress in Computational and Applied PDEs, Kluwer, Plenum, New York, 2002, pp. 323-351.
-
(2002)
Recent Progress in Computational and Applied PDEs
, pp. 323-351
-
-
Sun, S.1
Rivière, B.2
Wheeler, M.F.3
-
34
-
-
10444249692
-
Discontinuous Galerkin methods for coupled flow and reactive transport problems
-
S. Sun and M. F. Wheeler, Discontinuous Galerkin methods for coupled flow and reactive transport problems, Appl. Numer. Math., 52 (2005), pp. 273-298.
-
(2005)
Appl. Numer. Math.
, vol.52
, pp. 273-298
-
-
Sun, S.1
Wheeler, M.F.2
-
35
-
-
17444368045
-
1) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems
-
1) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems, J. Sci. Comput., 22 (2005), pp. 501-530.
-
(2005)
J. Sci. Comput.
, vol.22
, pp. 501-530
-
-
Sun, S.1
Wheeler, M.F.2
-
36
-
-
33644499155
-
Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media
-
S. Sun and M. F. Wheeler, Symmetric and nonsymmetric discontinuous Galerkin methods for reactive transport in porous media, SIAM J. Numer. Anal., 43 (2005), pp. 195-219.
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, pp. 195-219
-
-
Sun, S.1
Wheeler, M.F.2
-
37
-
-
13744260837
-
A deterministic model of growth factor-induced angiogenesis
-
S. Sun, M. F. Wheeler, M. Obeyesekere, and C. W. Patrick, Jr., A deterministic model of growth factor-induced angiogenesis, Bull. Math. Biol., 67 (2005), pp. 313-337.
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 313-337
-
-
Sun, S.1
Wheeler, M.F.2
Obeyesekere, M.3
Patrick Jr., C.W.4
-
38
-
-
22544482336
-
Deterministic simulation of growth factor-induced angiogenesis
-
in Austin, TX
-
S. Sun, M. F. Wheeler, M. Obeyesekere, and C. W. Patrick, Jr., Deterministic simulation of growth factor-induced angiogenesis, in Proceedings of the American Institute of Chemical Engineers 2004 Annual Meeting, Austin, TX, 2004.
-
(2004)
Proceedings of the American Institute of Chemical Engineers 2004 Annual Meeting
-
-
Sun, S.1
Wheeler, M.F.2
Obeyesekere, M.3
Patrick Jr., C.W.4
-
39
-
-
25144447206
-
Nonlinear behavior of capillary formation in a deterministic angiogenesis model
-
in Orlando, FL
-
S. Sun, M. F. Wheeler, M. Obeyesekere, and C. W. Patrick, Jr., Nonlinear behavior of capillary formation in a deterministic angiogenesis model, in Proceedings of the Fourth World Congress of Nonlinear Analysts, Orlando, FL, 2004.
-
(2004)
Proceedings of the Fourth World Congress of Nonlinear Analysts
-
-
Sun, S.1
Wheeler, M.F.2
Obeyesekere, M.3
Patrick Jr., C.W.4
-
40
-
-
0027042913
-
Accuracy of operator splitting for advection-dispersion-reaction problems
-
A. J. Valocchi and M. Malmstead, Accuracy of operator splitting for advection-dispersion-reaction problems, Water Resources Research, 28 (1992), pp. 1471-1476.
-
(1992)
Water Resources Research
, vol.28
, pp. 1471-1476
-
-
Valocchi, A.J.1
Malmstead, M.2
-
41
-
-
0001669414
-
On convergence of block-centered finite differences for elliptic problems
-
A. Weiser and M. F. Wheeler, On convergence of block-centered finite differences for elliptic problems, SIAM J. Numer. Anal., 25 (1988), pp. 351-375.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 351-375
-
-
Weiser, A.1
Wheeler, M.F.2
-
42
-
-
0036932039
-
Enhanced velocity mixed finite element methods for flow in multiblock domains
-
J. Wheeler, M. F. Wheeler, and I. Yotov, Enhanced velocity mixed finite element methods for flow in multiblock domains, Comput. Geosci., 6 (2002), pp. 315-322.
-
(2002)
Comput. Geosci.
, vol.6
, pp. 315-322
-
-
Wheeler, J.1
Wheeler, M.F.2
Yotov, I.3
-
43
-
-
0001479662
-
An operator-splitting method for advection-diffusion-reaction problems
-
in J. R. Whiteman, ed., Academic Press, London
-
M. F. Wheeler and C. N. Dawson, An operator-splitting method for advection-diffusion-reaction problems, in The Mathematics of Finite Elements and Applications VI, J. R. Whiteman, ed., Academic Press, London, 1987, pp. 463-482.
-
(1987)
The Mathematics of Finite Elements and Applications VI
, pp. 463-482
-
-
Wheeler, M.F.1
Dawson, C.N.2
-
44
-
-
0012087576
-
Mortar mixed finite element approximations for elliptic and parabolic equations
-
in C. K. Chui and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
-
M. F. Wheeler and I. Yotov, Mortar mixed finite element approximations for elliptic and parabolic equations, in Approximation Theory IX, C. K. Chui and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 1998, pp. 377-392.
-
(1998)
Approximation Theory IX
, pp. 377-392
-
-
Wheeler, M.F.1
Yotov, I.2
-
45
-
-
33845568003
-
Mixed finite element methods for modeling flow and transport in porous media
-
in A. P. Bourgeat, C. Carasso, S. Luckhaus, and A. Mikelić, eds., World Scientific, Singapore
-
M. F. Wheeler and I. Yotov, Mixed finite element methods for modeling flow and transport in porous media, in Mathematical Modeling of Flow through Porous Media, A. P. Bourgeat, C. Carasso, S. Luckhaus, and A. Mikelić, eds., World Scientific, Singapore, 1995, pp. 337-357.
-
(1995)
Mathematical Modeling of Flow Through Porous Media
, pp. 337-357
-
-
Wheeler, M.F.1
Yotov, I.2
-
46
-
-
0003435740
-
-
Ph.D. thesis, Rice University, Houston, TX, TR96-09, Dept. Comp. Appl. Math., Rice University, and TICAM report 96-23, University of Texas at Austin
-
I. Yotov, Mixed Finite Element Methods for Flow in Porous Media, Ph.D. thesis, Rice University, Houston, TX, 1996; TR96-09, Dept. Comp. Appl. Math., Rice University, and TICAM report 96-23, University of Texas at Austin.
-
(1996)
Mixed Finite Element Methods for Flow in Porous Media
-
-
Yotov, I.1
-
47
-
-
0019523557
-
Dynamics of neovascularization in normal tissue
-
D. F. Zawicki, R. K. Jain, G. W. Schmid-Schoenbein, and S. Chien, Dynamics of neovascularization in normal tissue, Microvasc. Res., 21 (1981), pp. 27-47.
-
(1981)
Microvasc. Res.
, vol.21
, pp. 27-47
-
-
Zawicki, D.F.1
Jain, R.K.2
Schmid-Schoenbein, G.W.3
Chien, S.4
|