-
1
-
-
0000836987
-
Quasilinear elliptic-parabolic differential equations
-
H. ALT AND S. LUCKHAUS, Quasilinear elliptic-parabolic differential equations, Math. Z., 183 (1983), pp. 311-341.
-
(1983)
Math. Z.
, vol.183
, pp. 311-341
-
-
Alt, H.1
Luckhaus, S.2
-
2
-
-
0003091145
-
On a numerical approach to Stefan-like problems
-
G. AMIEZ AND P. GREMAUD, On a numerical approach to Stefan-like problems, Numer. Math., 59 (1991), pp. 71-89.
-
(1991)
Numer. Math.
, vol.59
, pp. 71-89
-
-
Amiez, G.1
Gremaud, P.2
-
3
-
-
0000325197
-
A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media
-
T. ARBOGAST, M.-F. WHEELER, AND N.-Y. ZHANG, A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media, SIAM J. Numer. Anal., 33 (1996), pp. 1669-1687.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1669-1687
-
-
Arbogast, T.1
Wheeler, M.-F.2
Zhang, N.-Y.3
-
4
-
-
0001804939
-
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
-
D. ARNOLD AND F. BREZZI, Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates, RAIRO Modél. Math. Anal. Numér., 19 (1985), pp. 7-32.
-
(1985)
RAIRO Modél. Math. Anal. Numér.
, vol.19
, pp. 7-32
-
-
Arnold, D.1
Brezzi, F.2
-
5
-
-
0001035419
-
Finite element approximation of the transport of reactive solutes in porous media, Part II: Error estimates for equilibrium adsorption processes
-
J. W. BARRETT AND P. KNABNER, Finite element approximation of the transport of reactive solutes in porous media, Part II: Error estimates for equilibrium adsorption processes, SIAM J. Numer. Anal., 34 (1997), pp. 455-479.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 455-479
-
-
Barrett, J.W.1
Knabner, P.2
-
6
-
-
0002328501
-
On some degenerate non-linear parabolic equations
-
F. Browder, ed., AMS, Providence, RI
-
H. BREZIS, On some degenerate non-linear parabolic equations, in Nonlinear Functional Analysis, F. Browder, ed., AMS, Providence, RI, 1970, pp. 28-38.
-
(1970)
Nonlinear Functional Analysis
, pp. 28-38
-
-
Brezis, H.1
-
7
-
-
0004291558
-
Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
-
North-Holland Math. Stud. 5, North-Holland, Amsterdam, London, American Elsevier, New York
-
H. BRÉZIS, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland Math. Stud. 5, Notas de Matematica 50, North-Holland, Amsterdam, London, American Elsevier, New York, 1973.
-
(1973)
Notas de Matematica
, vol.50
-
-
Brézis, H.1
-
8
-
-
0003451857
-
Hydraulic properties of porous media
-
Civil Engineering Department, Colorado State University, Fort Collins, CO
-
R. BROOKS AND A. COREY, Hydraulic Properties of Porous Media, Hydrology paper 3, Civil Engineering Department, Colorado State University, Fort Collins, CO, 1964.
-
(1964)
Hydrology Paper
, vol.3
-
-
Brooks, R.1
Corey, A.2
-
9
-
-
0001978231
-
Probability laws for pore-size distribution
-
W. BRUTSAERT, Probability laws for pore-size distribution, Soil Sci., 101 (1966), pp. 85-92.
-
(1966)
Soil Sci.
, vol.101
, pp. 85-92
-
-
Brutsaert, W.1
-
10
-
-
0026835832
-
A comparison of three functional forms for representing soil moisture characteristics
-
A. BUMB, C. MURPHY, AND L. EVERETT, A comparison of three functional forms for representing soil moisture characteristics, Ground Water, 30 (1992), pp. 177-185.
-
(1992)
Ground Water
, vol.30
, pp. 177-185
-
-
Bumb, A.1
Murphy, C.2
Everett, L.3
-
11
-
-
0025585761
-
A general mass-conservative numerical solution for the unsaturated flow equation
-
M. CELIA, E. BOULOUTAS, AND R. ZARBA, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26 (1990), pp. 1483-1496.
-
(1990)
Water Resour. Res.
, vol.26
, pp. 1483-1496
-
-
Celia, M.1
Bouloutas, E.2
Zarba, R.3
-
12
-
-
0000018252
-
Generation of semigroups of nonlinear transformations on general Banach spaces
-
M. CRANDALL AND T. LIGGETT, Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), pp. 265-298.
-
(1971)
Amer. J. Math.
, vol.93
, pp. 265-298
-
-
Crandall, M.1
Liggett, T.2
-
13
-
-
0033513105
-
The finite volume method for richards equation
-
R. EYMARD, M. GUTNIC, AND D. HILHORST, The finite volume method for richards equation, Comput. Geosci., 3 (1999), pp. 259-294.
-
(1999)
Comput. Geosci.
, vol.3
, pp. 259-294
-
-
Eymard, R.1
Gutnic, M.2
Hilhorst, D.3
-
15
-
-
0000821543
-
Solution of porous medium type systems by linear approximation schemes
-
W. JÄGER AND J. KAČUR, Solution of porous medium type systems by linear approximation schemes, Numer. Math., 60 (1991), pp. 407-427.
-
(1991)
Numer. Math.
, vol.60
, pp. 407-427
-
-
Jäger, W.1
Kačur, J.2
-
16
-
-
0000523964
-
Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
-
W. JÄGER AND J. KAČUR, Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes, RAIRO Modél. Math. Anal. Numér., 29 (1995), pp. 605-627.
-
(1995)
RAIRO Modél. Math. Anal. Numér.
, vol.29
, pp. 605-627
-
-
Jäger, W.1
Kačur, J.2
-
17
-
-
0035398643
-
Newton-Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems
-
J. JONES AND C. WOODWARD, Newton-Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems, Adv. Water Resour., 24 (2001), pp. 763-774.
-
(2001)
Adv. Water Resour.
, vol.24
, pp. 763-774
-
-
Jones, J.1
Woodward, C.2
-
18
-
-
0039758166
-
Method of Rothe in evolution equations
-
Teubner, Leipzig
-
J. KAČUR, Method of Rothe in Evolution Equations, Teubner-Texte Math. 80, Teubner, Leipzig, 1985.
-
(1985)
Teubner-Texte Math.
, vol.80
-
-
Kačur, J.1
-
19
-
-
0033248368
-
Solution to strongly nonlinear parabolic problems by a linear approximation scheme
-
J. KAČUR, Solution to strongly nonlinear parabolic problems by a linear approximation scheme, IMA J. Numer. Anal., 19 (1999), pp. 119-145.
-
(1999)
IMA J. Numer. Anal.
, vol.19
, pp. 119-145
-
-
Kačur, J.1
-
20
-
-
0004004657
-
-
Academia, Prague
-
A. KUFNER, O. JOHN, AND S. FUČÍK, Function Spaces, Academia, Prague, 1977.
-
(1977)
Function Spaces
-
-
Kufner, A.1
John, O.2
Fučík, S.3
-
21
-
-
0009423137
-
Mathematical and numerical modelling in electrical engineering theory and applications
-
Kluwer Academic Publishers, Dordrecht, The Netherlands
-
M. KŘÍŽEK AND P. NEITTAANMÄKI, Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications, Math. Model. Theory Appl. 1, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.
-
(1996)
Math. Model. Theory Appl.
, vol.1
-
-
Křížek, M.1
Neittaanmäki, P.2
-
22
-
-
0000813166
-
Energy error estimates for a linear scheme to approximate nonlinear parabolic equations
-
E. MAGENES, R. NOCHETTO, AND C. VERDI, Energy error estimates for a linear scheme to approximate nonlinear parabolic equations, RAIRO Modé1. Math. Numar., 21 (1987), pp. 655-678.
-
(1987)
RAIRO Modé1. Math. Numar.
, vol.21
, pp. 655-678
-
-
Magenes, E.1
Nochetto, R.2
Verdi, C.3
-
23
-
-
0001748714
-
A comparison of strongly-convergent solution schemes for sharp-front infiltration problems
-
A. Peters, G. Wittum, B. Herrling, U. Meissner, C. Brebbia, W. Gray, and G. Pinder, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands
-
C. MILLER AND C. KELLEY, A comparison of strongly-convergent solution schemes for sharp-front infiltration problems, 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. 325-332.
-
(1994)
Computational Methods in Water Resources X
, pp. 325-332
-
-
Miller, C.1
Kelley, C.2
-
24
-
-
0016961814
-
A new model for predicting the hydraulic conductivity of unsaturated porous media
-
Y. MUALEM, A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12 (1976), pp. 513-522.
-
(1976)
Water Resour. Res.
, vol.12
, pp. 513-522
-
-
Mualem, Y.1
-
26
-
-
0013168995
-
Error estimates for multidimensional Stefan problems with general boundary conditions
-
Free Boundary Problems: Applications and Theory, Vol. III, A. A. Bossavit and M. Fremond, eds., Pitman, Boston
-
R. NOCHETTO, Error estimates for multidimensional Stefan problems with general boundary conditions, in Free Boundary Problems: Applications and Theory, Vol. III, A. A. Bossavit and M. Fremond, eds., Res. Notes Math. 120, Pitman, Boston, 1985, pp. 50-60.
-
(1985)
Res. Notes Math.
, vol.120
, pp. 50-60
-
-
Nochetto, R.1
-
27
-
-
51249173122
-
Error estimates for two-phase Stefan problems in several space variables I: Linear boundary conditions
-
R. NOCHETTO, Error estimates for two-phase Stefan problems in several space variables I: Linear boundary conditions, Calcolo, 22 (1985), pp. 457-499.
-
(1985)
Calcolo
, vol.22
, pp. 457-499
-
-
Nochetto, R.1
-
28
-
-
0030579044
-
1-contraction and uniqueness for quasilinear elliptic-parabolic equations
-
1-contraction and uniqueness for quasilinear elliptic-parabolic equations, J. Differential Equations, 131 (1996), pp. 20-38.
-
(1996)
J. Differential Equations
, vol.131
, pp. 20-38
-
-
Otto, F.1
-
30
-
-
0003883086
-
-
Preprint 98-43(SFB 359), IWR, Universität Heidelberg, Heidelberg, Germany
-
I. POP, Regularization Methods in the Numerical Analysis of Some Degenerate Parabolic Equations, Preprint 98-43(SFB 359), IWR, Universität Heidelberg, Heidelberg, Germany, 1998.
-
(1998)
Regularization Methods in the Numerical Analysis of Some Degenerate Parabolic Equations
-
-
Pop, I.1
-
31
-
-
0013173953
-
A maximum principle based numerical approach to porous medium equations
-
A. Handlovičová, M. Komorníkovǵ, and K. Mikula, eds., Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, STU Bratislava, Bratislava, Slovakia
-
I. POP AND W.-A. YONG, A maximum principle based numerical approach to porous medium equations, in ALGORITMY'97, 14th Conference on Scientific Computing, A. Handlovičová, M. Komorníkovǵ, and K. Mikula, eds., Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, STU Bratislava, Bratislava, Slovakia, 1997, pp. 207-218.
-
(1997)
ALGORITMY'97, 14th Conference on Scientific Computing
, pp. 207-218
-
-
Pop, I.1
Yong, W.-A.2
-
32
-
-
0001779231
-
Error analysis for implicit approximations to solutions to Cauchy problems
-
J. RULLA, Error analysis for implicit approximations to solutions to Cauchy problems, SIAM J. Numer. Anal., 33 (1996), pp. 68-87.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 68-87
-
-
Rulla, J.1
-
33
-
-
0002124686
-
Optimal rates of convergence for degenerate parabolic problems in two dimensions
-
J. RULLA AND N. J. WALKINGTON, Optimal rates of convergence for degenerate parabolic problems in two dimensions, SIAM J. Numer. Anal., 33 (1996), pp. 56-67.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 56-67
-
-
Rulla, J.1
Walkington, N.J.2
-
34
-
-
0003789986
-
-
Preprint M3-92, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia
-
M. SLODIČKA, Solution of Nonlinear Parabolic Problems by Linearization, Preprint M3-92, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia, 1992.
-
(1992)
Solution of Nonlinear Parabolic Problems by Linearization
-
-
Slodička, M.1
-
35
-
-
0004026448
-
-
Habilitationsschrift, Mathematisch-Naturwissenschaftlichen Fakultät, Universität Augsburg, Augsburg, Germany
-
M. SLODIČKA, Some Finite Elements Schemes Arising in Modeling of Flow Through Porous Media, Habilitationsschrift, Mathematisch-Naturwissenschaftlichen Fakultät, Universität Augsburg, Augsburg, Germany, 1999.
-
(1999)
Some Finite Elements Schemes Arising in Modeling of Flow Through Porous Media
-
-
Slodička, M.1
-
36
-
-
0032453911
-
Inexact Newton methods and the method of lines for soliving Richard'S equation in two space dimensions
-
M. TOCCI, C. KELLEY, C. MILLER, AND C. KEES, Inexact Newton methods and the method of lines for soliving Richard'S equation in two space dimensions, Comput. Geosci., 2 (1998), pp. 291-309.
-
(1998)
Comput. Geosci.
, vol.2
, pp. 291-309
-
-
Tocci, M.1
Kelley, C.2
Miller, C.3
Kees, C.4
-
37
-
-
34250248086
-
Nonstationary filtration in partially saturated porous media
-
C. J. VAN DUIJN AND L. A. PELETIER, Nonstationary filtration in partially saturated porous media, Arch. Rational Mech. Anal., 78 (1982), pp. 173-198.
-
(1982)
Arch. Rational Mech. Anal.
, vol.78
, pp. 173-198
-
-
Van Duijn, C.J.1
Peletier, L.A.2
-
38
-
-
0019057216
-
A closed-form for predicting the hydraulic conductivity of unsaturated soils
-
M. VAN GENUCHTEN, A closed-form for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Amer. J., 44 (1980), pp. 892-898.
-
(1980)
Soil Sci. Soc. Amer. J.
, vol.44
, pp. 892-898
-
-
Van Genuchten, M.1
-
39
-
-
0018329658
-
Experimental and numerical study of a transient two dimensional unsaturated-saturated water table recharge problem
-
M. VAUCLIN, D. KHANJI, AND G. VACHAUD, Experimental and numerical study of a transient two dimensional unsaturated-saturated water table recharge problem, Water Resour. Res., 15 (1979), pp. 1089-1101.
-
(1979)
Water Resour. Res.
, vol.15
, pp. 1089-1101
-
-
Vauclin, M.1
Khanji, D.2
Vachaud, G.3
-
40
-
-
0000960207
-
On the numerical approach to a two-phase Stefan problem with nonlinear flux
-
C. VERDI, On the numerical approach to a two-phase Stefan problem with nonlinear flux, Calcolo, 22 (1985), pp. 351-381.
-
(1985)
Calcolo
, vol.22
, pp. 351-381
-
-
Verdi, C.1
-
41
-
-
0034383232
-
Finite difference reaction-diffusion equations with nonlinear diffusion coefficients
-
J. WANG AND C. PAO, Finite difference reaction-diffusion equations with nonlinear diffusion coefficients, Numer. Math., 85 (2000), pp. 485-502.
-
(2000)
Numer. Math.
, vol.85
, pp. 485-502
-
-
Wang, J.1
Pao, C.2
-
42
-
-
0001077416
-
Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media
-
C. S. WOODWARB AND C. N. DAWSON, Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media, SIAM J. Numer. Anal., 37 (2000), pp. 701-724.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 701-724
-
-
Woodwarb, C.S.1
Dawson, C.N.2
|