-
1
-
-
43449102981
-
On spinodal decomposition
-
Cahn J.W. On spinodal decomposition. Acta Metall 9 (1961) 795-801
-
(1961)
Acta Metall
, vol.9
, pp. 795-801
-
-
Cahn, J.W.1
-
2
-
-
33746012315
-
Free energy of a nonuniform system I, interfacial free energy
-
Cahn J.W., and Hilliard J.E. Free energy of a nonuniform system I, interfacial free energy. J Chem Phys 28 2 (1958) 258-267
-
(1958)
J Chem Phys
, vol.28
, Issue.2
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
3
-
-
0001158204
-
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
-
Gurtin M. Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92 (1996) 178-192
-
(1996)
Physica D
, vol.92
, pp. 178-192
-
-
Gurtin, M.1
-
5
-
-
0027554074
-
Interdiffusion in bilinear polymer mixtures
-
Wang S.Q., and Shi Q. Interdiffusion in bilinear polymer mixtures. Macromolecules 26 (1993) 1091-1096
-
(1993)
Macromolecules
, vol.26
, pp. 1091-1096
-
-
Wang, S.Q.1
Shi, Q.2
-
6
-
-
0029252992
-
A model for interdiffusion at interfaces of polymers with dissimilar physical properties
-
Jabbari E., and Peppas N.A. A model for interdiffusion at interfaces of polymers with dissimilar physical properties. Polymer 36 (1995) 575-586
-
(1995)
Polymer
, vol.36
, pp. 575-586
-
-
Jabbari, E.1
Peppas, N.A.2
-
7
-
-
0001302262
-
Phenomenological theory for the formation of interfaces via the interdiffusion of layem
-
Puri S., and Binder K. Phenomenological theory for the formation of interfaces via the interdiffusion of layem. Phys Rev B 44 (1991) 9735-9738
-
(1991)
Phys Rev B
, vol.44
, pp. 9735-9738
-
-
Puri, S.1
Binder, K.2
-
8
-
-
0001197996
-
The viscous Cahn-Hilliard equation: Part I: Computations
-
Bai F., Elliott C.M., Gardiner A., Spence A., and Stuart A.M. The viscous Cahn-Hilliard equation: Part I: Computations. Nonlinearity 8 (1995) 131-160
-
(1995)
Nonlinearity
, vol.8
, pp. 131-160
-
-
Bai, F.1
Elliott, C.M.2
Gardiner, A.3
Spence, A.4
Stuart, A.M.5
-
9
-
-
21144473934
-
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
-
Copetti M.I.M., and Elliott C.M. Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Numer Math 63 (1992) 39-65
-
(1992)
Numer Math
, vol.63
, pp. 39-65
-
-
Copetti, M.I.M.1
Elliott, C.M.2
-
10
-
-
21844484383
-
An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy
-
Barrett J.W., and Blowery J.F. An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy. Numer Math 72 (1995) 1-20
-
(1995)
Numer Math
, vol.72
, pp. 1-20
-
-
Barrett, J.W.1
Blowery, J.F.2
-
12
-
-
0004794523
-
On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
-
Yin J. On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation. J Diff Eqs 97 (1992) 319-327
-
(1992)
J Diff Eqs
, vol.97
, pp. 319-327
-
-
Yin, J.1
-
13
-
-
44949275928
-
Slow motion for the Cahn-Hilliard equation in one space dimension
-
Alikakos N., Bates P.W., and Fusco G. Slow motion for the Cahn-Hilliard equation in one space dimension. J Diff Eqs 90 (1991) 81-135
-
(1991)
J Diff Eqs
, vol.90
, pp. 81-135
-
-
Alikakos, N.1
Bates, P.W.2
Fusco, G.3
-
14
-
-
34547595689
-
Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
-
Abels H., and Wilke M. Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. Nonlinear Anal 67 (2007) 3176-3193
-
(2007)
Nonlinear Anal
, vol.67
, pp. 3176-3193
-
-
Abels, H.1
Wilke, M.2
-
15
-
-
0000358405
-
Structured phase transitions on a finite interval
-
Carr J., Gurtin M.E., and Slemrod M. Structured phase transitions on a finite interval. Arch Rat Mech Anal 86 (1984) 317-351
-
(1984)
Arch Rat Mech Anal
, vol.86
, pp. 317-351
-
-
Carr, J.1
Gurtin, M.E.2
Slemrod, M.3
-
16
-
-
0001386608
-
Nonlinear aspects of the Cahn-Hilliard equation
-
Novick-Cohen A., and Segel L.A. Nonlinear aspects of the Cahn-Hilliard equation. Physica D 10 (1984) 277-298
-
(1984)
Physica D
, vol.10
, pp. 277-298
-
-
Novick-Cohen, A.1
Segel, L.A.2
-
17
-
-
0042403841
-
Energy method for the Cahn-Hilliard equation
-
Novick-Cohen A. Energy method for the Cahn-Hilliard equation. Quart Appl Math XLVI (1988) 681-690
-
(1988)
Quart Appl Math
, vol.XLVI
, pp. 681-690
-
-
Novick-Cohen, A.1
-
18
-
-
0001617217
-
Numerical studies of the Cahn-Hilliard equation for phase separation
-
Elliott C.M., and French D.A. Numerical studies of the Cahn-Hilliard equation for phase separation. IMA J Appl Math 38 (1987) 97-128
-
(1987)
IMA J Appl Math
, vol.38
, pp. 97-128
-
-
Elliott, C.M.1
French, D.A.2
-
19
-
-
0000662072
-
A nonconforming finite element method for the two dimensional Cahn-Hilliard equation
-
Elliott C.M., and French D.A. A nonconforming finite element method for the two dimensional Cahn-Hilliard equation. SIAM J Numer Anal 26 (1989) 884-903
-
(1989)
SIAM J Numer Anal
, vol.26
, pp. 884-903
-
-
Elliott, C.M.1
French, D.A.2
-
20
-
-
84968516048
-
Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation
-
Elliott C.M., and Larsson S. Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation. Math Comput 58 (1992) 603-630
-
(1992)
Math Comput
, vol.58
, pp. 603-630
-
-
Elliott, C.M.1
Larsson, S.2
-
21
-
-
0001475208
-
A second order splitting method of the Cahn-Hilliard equation
-
Elliott C.M., French D.A., and Milner F.A. A second order splitting method of the Cahn-Hilliard equation. Numer Math 54 (1989) 575-590
-
(1989)
Numer Math
, vol.54
, pp. 575-590
-
-
Elliott, C.M.1
French, D.A.2
Milner, F.A.3
-
22
-
-
0242420138
-
Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems
-
French D.A., and Jensen S. Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems. IMA J Numer Anal 14 (1994) 421-442
-
(1994)
IMA J Numer Anal
, vol.14
, pp. 421-442
-
-
French, D.A.1
Jensen, S.2
-
23
-
-
0040374434
-
An approximate factorization least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation
-
Dean E.J., Glowinski R., and Trevas D.A. An approximate factorization least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation. Jpn J Ind Appl Math 13 (1996) 495-517
-
(1996)
Jpn J Ind Appl Math
, vol.13
, pp. 495-517
-
-
Dean, E.J.1
Glowinski, R.2
Trevas, D.A.3
-
24
-
-
44449107046
-
-
Baňas L, Nürnberg R. Adaptive finite element methods for Cahn-Hilliard equations. J Comput Appl Math, 2008;218(1):2-11.
-
Baňas L, Nürnberg R. Adaptive finite element methods for Cahn-Hilliard equations. J Comput Appl Math, 2008;218(1):2-11.
-
-
-
-
25
-
-
29144470271
-
A multigrid finite element solver for the Cahn-Hilliard equation
-
Kay D., and Welford R. A multigrid finite element solver for the Cahn-Hilliard equation. J Comput Phys 212 (2006) 288-304
-
(2006)
J Comput Phys
, vol.212
, pp. 288-304
-
-
Kay, D.1
Welford, R.2
-
26
-
-
19944391320
-
A discontinuous Galerkin method for the Cahn-Hilliard equation
-
Choo S.M., and Lee Y.J. A discontinuous Galerkin method for the Cahn-Hilliard equation. J Appl Math Comput 18 (2005) 113-126
-
(2005)
J Appl Math Comput
, vol.18
, pp. 113-126
-
-
Choo, S.M.1
Lee, Y.J.2
-
27
-
-
33748907906
-
A discontinuous Galerkin method for the Cahn-Hilliard equation
-
Wells G.N., Kuhl E., and Garikipati K. A discontinuous Galerkin method for the Cahn-Hilliard equation. J Comput Phys 218 (2006) 860-877
-
(2006)
J Comput Phys
, vol.218
, pp. 860-877
-
-
Wells, G.N.1
Kuhl, E.2
Garikipati, K.3
-
28
-
-
85189849942
-
-
Xia Y, Xu Y, Shu CW. Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J Comput Phys 2007;227(1):472-91.
-
Xia Y, Xu Y, Shu CW. Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. J Comput Phys 2007;227(1):472-91.
-
-
-
-
29
-
-
0041401496
-
A finite difference scheme for the Cahn-Hilliard equation based on a Lyapunov functional
-
Furihata D., Onda T., and Mori M. A finite difference scheme for the Cahn-Hilliard equation based on a Lyapunov functional. GAKUTO Int Ser Math Sci Appl 2 (1993) 347-358
-
(1993)
GAKUTO Int Ser Math Sci Appl
, vol.2
, pp. 347-358
-
-
Furihata, D.1
Onda, T.2
Mori, M.3
-
30
-
-
0001193685
-
α δ G / δ u that inherit energy conservation or dissipation property
-
α δ G / δ u that inherit energy conservation or dissipation property. J Comput Phys 156 (1999) 181-205
-
(1999)
J Comput Phys
, vol.156
, pp. 181-205
-
-
Furihata, D.1
-
31
-
-
0041079077
-
A stable and conservative finite difference scheme for the Cahn-Hilliard equation
-
Furihata D. A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Numer Math 87 (2001) 675-699
-
(2001)
Numer Math
, vol.87
, pp. 675-699
-
-
Furihata, D.1
-
32
-
-
0032186765
-
Conservative nonlinear difference scheme for the Cahn-Hilliard equation
-
Choo S.M., and Chung S.K. Conservative nonlinear difference scheme for the Cahn-Hilliard equation. Comput Math Appl 36 7 (1998) 31-39
-
(1998)
Comput Math Appl
, vol.36
, Issue.7
, pp. 31-39
-
-
Choo, S.M.1
Chung, S.K.2
-
33
-
-
0039929677
-
Conservative nonlinear difference scheme for the Cahn-Hilliard equation-II
-
Choo S.M., Chung S.K., and Kim K.I. Conservative nonlinear difference scheme for the Cahn-Hilliard equation-II. Comput Math Appl 39 (2000) 229-243
-
(2000)
Comput Math Appl
, vol.39
, pp. 229-243
-
-
Choo, S.M.1
Chung, S.K.2
Kim, K.I.3
-
35
-
-
34249662156
-
A numerical method for the Cahn-Hilliard equation with a variable mobility
-
Kim J. A numerical method for the Cahn-Hilliard equation with a variable mobility. Commun Nonlinear Sci Numer Simul 12 (2007) 1560-1571
-
(2007)
Commun Nonlinear Sci Numer Simul
, vol.12
, pp. 1560-1571
-
-
Kim, J.1
-
36
-
-
10844251567
-
Numerical study of the Cahn-Hilliard equation in one, two and three dimensions
-
de Mello E.V.L., and Filho O.T.d.S. Numerical study of the Cahn-Hilliard equation in one, two and three dimensions. Physica A 347 (2005) 429-443
-
(2005)
Physica A
, vol.347
, pp. 429-443
-
-
de Mello, E.V.L.1
Filho, O.T.d.S.2
-
37
-
-
28444475844
-
The Fourier spectral method for the Cahn-Hilliard equation
-
Ye X., and Cheng X. The Fourier spectral method for the Cahn-Hilliard equation. Appl Math Comput 171 (2005) 345-357
-
(2005)
Appl Math Comput
, vol.171
, pp. 345-357
-
-
Ye, X.1
Cheng, X.2
-
38
-
-
34147135231
-
On large time-stepping methods for the Cahn-Hilliard equation
-
He Y., Liu Y., and Tang T. On large time-stepping methods for the Cahn-Hilliard equation. Appl Numer Math 57 (2007) 616-628
-
(2007)
Appl Numer Math
, vol.57
, pp. 616-628
-
-
He, Y.1
Liu, Y.2
Tang, T.3
-
39
-
-
0036630249
-
The Fourier collocation method for the Cahn-Hilliard equation
-
Ye X. The Fourier collocation method for the Cahn-Hilliard equation. Comput Math Appl 44 (2002) 213-229
-
(2002)
Comput Math Appl
, vol.44
, pp. 213-229
-
-
Ye, X.1
-
40
-
-
0037211421
-
The Legendre collocation method for the Cahn-Hilliard equation
-
Ye X. The Legendre collocation method for the Cahn-Hilliard equation. J Comput Appl Math 150 (2003) 87-108
-
(2003)
J Comput Appl Math
, vol.150
, pp. 87-108
-
-
Ye, X.1
-
41
-
-
33751539409
-
Orthogonal cubic spline collocation method for the Cahn-Hilliard equation
-
Danumjaya P., and Nandakumaran A.K. Orthogonal cubic spline collocation method for the Cahn-Hilliard equation. Appl Math Comput 182 (2006) 1316-1329
-
(2006)
Appl Math Comput
, vol.182
, pp. 1316-1329
-
-
Danumjaya, P.1
Nandakumaran, A.K.2
-
42
-
-
85120589861
-
-
Momani Sh, Erturk VS. A numerical scheme for the solution of viscous Cahn-Hilliard equation. Numer Methods Partial Differential Equations 2008;24(2):663-69.
-
Momani Sh, Erturk VS. A numerical scheme for the solution of viscous Cahn-Hilliard equation. Numer Methods Partial Differential Equations 2008;24(2):663-69.
-
-
-
-
43
-
-
33746801650
-
On the μ-transform: applications to the Cahn-Hilliard equation
-
Mitlin V. On the μ-transform: applications to the Cahn-Hilliard equation. Phys Lett A 358 (2006) 142-148
-
(2006)
Phys Lett A
, vol.358
, pp. 142-148
-
-
Mitlin, V.1
-
44
-
-
0142259489
-
Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation
-
Hongjun G., and Changchun L. Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation. Chaos, Solitons and Fractals 20 (2004) 253-258
-
(2004)
Chaos, Solitons and Fractals
, vol.20
, pp. 253-258
-
-
Hongjun, G.1
Changchun, L.2
-
45
-
-
0001578881
-
Dynamic analysis in solid mechanics by an alternative boundary element procedure
-
Brebbia C.A., and Nardini D. Dynamic analysis in solid mechanics by an alternative boundary element procedure. Int J Soil Dyn Earthquake Eng 2 (1983) 228-233
-
(1983)
Int J Soil Dyn Earthquake Eng
, vol.2
, pp. 228-233
-
-
Brebbia, C.A.1
Nardini, D.2
-
46
-
-
0003048395
-
The dual reciprocity boundary element method for the Helmholtz equation
-
Brebbia C.A., and Choudouet-Miranda A. (Eds), Computational Mechanics Publications, Springer, Berlin
-
Partridge P.W., and Brebbia C.A. The dual reciprocity boundary element method for the Helmholtz equation. In: Brebbia C.A., and Choudouet-Miranda A. (Eds). Proceedings of the International Boundary Elements Symposium (1990), Computational Mechanics Publications, Springer, Berlin 543-555
-
(1990)
Proceedings of the International Boundary Elements Symposium
, pp. 543-555
-
-
Partridge, P.W.1
Brebbia, C.A.2
-
47
-
-
0002847155
-
Radial basis function approximation in dual reciprocity method
-
Karur S.R., and Ramachandran P.A. Radial basis function approximation in dual reciprocity method. Math Comput Modelling 20 7 (1994) 59-70
-
(1994)
Math Comput Modelling
, vol.20
, Issue.7
, pp. 59-70
-
-
Karur, S.R.1
Ramachandran, P.A.2
-
48
-
-
0022757495
-
Free vibration analysis by BEM using particular integrals
-
Ahmad S., and Banerjee P.K. Free vibration analysis by BEM using particular integrals. J Eng Mech Div ASCE 112 (1986) 682-695
-
(1986)
J Eng Mech Div ASCE
, vol.112
, pp. 682-695
-
-
Ahmad, S.1
Banerjee, P.K.2
-
49
-
-
0036471601
-
2D and 3D transient heat conduction analysis by BEM via particular integrals
-
Yang M.T., Park K.H., and Banerjee P.K. 2D and 3D transient heat conduction analysis by BEM via particular integrals. Comput Methods Appl Mech Eng 191 (2002) 1701-1722
-
(2002)
Comput Methods Appl Mech Eng
, vol.191
, pp. 1701-1722
-
-
Yang, M.T.1
Park, K.H.2
Banerjee, P.K.3
-
50
-
-
0032042502
-
Dual reciprocity boundary element analysis of time-independent Burger's equation
-
Chino E., and Tosaka N. Dual reciprocity boundary element analysis of time-independent Burger's equation. Eng Anal Bound Elem 21 (1998) 261-270
-
(1998)
Eng Anal Bound Elem
, vol.21
, pp. 261-270
-
-
Chino, E.1
Tosaka, N.2
-
51
-
-
33744510547
-
A numerical method for the wave equation subject to a non-local conservation condition
-
Ang W.T. A numerical method for the wave equation subject to a non-local conservation condition. Appl Numer Math 56 (2006) 1054-1060
-
(2006)
Appl Numer Math
, vol.56
, pp. 1054-1060
-
-
Ang, W.T.1
-
52
-
-
59649095602
-
-
Dehghan M, Mirzaei D. The boundary integral equation approach for numerical solution of the one-dimensional Sine-Gordon equation. Numer Methods Partial Differential Equations, in press.
-
Dehghan M, Mirzaei D. The boundary integral equation approach for numerical solution of the one-dimensional Sine-Gordon equation. Numer Methods Partial Differential Equations, in press.
-
-
-
-
53
-
-
0031176257
-
Analytical derivations for one-dimensional eigenproblems using dual boundary element method and multiple reciprocity method
-
Chen J.T., and Wong F.C. Analytical derivations for one-dimensional eigenproblems using dual boundary element method and multiple reciprocity method. Eng Anal Bound Elem 20 (1997) 25-33
-
(1997)
Eng Anal Bound Elem
, vol.20
, pp. 25-33
-
-
Chen, J.T.1
Wong, F.C.2
-
54
-
-
59649087279
-
-
Chen JT, Lee JW. On the spurious eigensolutions for the real-part boundary element method. Eng Anal Bound Elem, accepted for publication.
-
Chen JT, Lee JW. On the spurious eigensolutions for the real-part boundary element method. Eng Anal Bound Elem, accepted for publication.
-
-
-
-
55
-
-
32644435892
-
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
-
Dehghan M. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Math Comput Simul 71 (2006) 16-30
-
(2006)
Math Comput Simul
, vol.71
, pp. 16-30
-
-
Dehghan, M.1
-
56
-
-
19744375661
-
Parameter determination in a partial differential equation from the overspecified data
-
Dehghan M. Parameter determination in a partial differential equation from the overspecified data. Math Comput Modell 41 (2005) 196-213
-
(2005)
Math Comput Modell
, vol.41
, pp. 196-213
-
-
Dehghan, M.1
-
57
-
-
18744412104
-
Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
-
Dehghan M. Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Numer Methods Partial Differ Equations 21 (2005) 611-622
-
(2005)
Numer Methods Partial Differ Equations
, vol.21
, pp. 611-622
-
-
Dehghan, M.1
-
58
-
-
33748938323
-
Implicit collocation technique for heat equation with non-classic initial condition
-
Dehghan M. Implicit collocation technique for heat equation with non-classic initial condition. Int J Non-Linear Sci Numer Simul 7 (2007) 447-450
-
(2007)
Int J Non-Linear Sci Numer Simul
, vol.7
, pp. 447-450
-
-
Dehghan, M.1
-
59
-
-
33749559910
-
The one-dimensional heat equation subject to a boundary integral specification
-
Dehghan M. The one-dimensional heat equation subject to a boundary integral specification. Chaos Solitons Fractals 32 (2007) 661-757
-
(2007)
Chaos Solitons Fractals
, vol.32
, pp. 661-757
-
-
Dehghan, M.1
-
60
-
-
35448960877
-
Numerical solution of the Klein-Gordon equation via He's variational iteration method
-
Shakeri F., and Dehghan M. Numerical solution of the Klein-Gordon equation via He's variational iteration method. Nonlinear Dyn 51 (2008) 89-97
-
(2008)
Nonlinear Dyn
, vol.51
, pp. 89-97
-
-
Shakeri, F.1
Dehghan, M.2
-
61
-
-
33645276878
-
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
-
Dehghan M. A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Numer Methods Partial Differ Equations 22 (2006) 220-257
-
(2006)
Numer Methods Partial Differ Equations
, vol.22
, pp. 220-257
-
-
Dehghan, M.1
|