-
1
-
-
0018480694
-
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
-
S. Allen and J. W. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta Metall, 27 (1979), 1084-1095.
-
(1979)
Acta Metall
, vol.27
, pp. 1084-1095
-
-
Allen, S.1
Cahn, J.W.2
-
2
-
-
0542363944
-
Spectrum for Allen-Cahn, Cahn-Hillard, and phase-field equations for generic interfaces
-
X. Chen, Spectrum for Allen-Cahn, Cahn-Hillard, and phase-field equations for generic interfaces, Comm. Partial Differential Equations, 19 (1994), 1371-1395.
-
(1994)
Comm. Partial Differential Equations
, vol.19
, pp. 1371-1395
-
-
Chen, X.1
-
3
-
-
0001152970
-
Applications of semi-implicit Fourier-spectral method to phase field equations
-
L. Q. Chen and J. Shen, Applications of semi-implicit Fourier-spectral method to phase field equations, Comput. Phys. Comm., 108 (1998), 147-158.
-
(1998)
Comput. Phys. Comm
, vol.108
, pp. 147-158
-
-
Chen, L.Q.1
Shen, J.2
-
4
-
-
3242875567
-
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
-
Q. Du, C. Liu and X. Wang, A phase field approach in the numerical study of the elastic bending energy for vesicle membranes, J. Comput. Phys., 198 (2004), 450-468.
-
(2004)
J. Comput. Phys
, vol.198
, pp. 450-468
-
-
Du, Q.1
Liu, C.2
Wang, X.3
-
5
-
-
84972518016
-
Motion of level sets by mean curvature. I
-
L. C. Evans and J. Spruck, Motion of level sets by mean curvature. I, J. Diff. Geom., 33 (1991), 635-681.
-
(1991)
J. Diff. Geom
, vol.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
6
-
-
84990617538
-
-
L. C. Evans, H. M. Sooner and P. E. Souganidis, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math., 45 (1992), 1097-1123.
-
L. C. Evans, H. M. Sooner and P. E. Souganidis, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math., 45 (1992), 1097-1123.
-
-
-
-
7
-
-
0142087018
-
Numerical analysis of Allen-Cahn equation and approximation for mean curvature flows
-
X. Feng and A. Prohl, Numerical analysis of Allen-Cahn equation and approximation for mean curvature flows, Numer. Math., 94 (2003), 33-65.
-
(2003)
Numer. Math
, vol.94
, pp. 33-65
-
-
Feng, X.1
Prohl, A.2
-
8
-
-
1342283759
-
A posteriori error control for the Allen-Cahn problem: Circumventing Gronwall's inequality
-
D. Kessler, R. H. Nochetto and A. Schmidt, A posteriori error control for the Allen-Cahn problem: circumventing Gronwall's inequality, Model. Math. Anal. Num., 38 (2004), 129-142.
-
(2004)
Model. Math. Anal
, Issue.and 38
, pp. 129-142
-
-
Kessler, D.1
Nochetto, R.H.2
Schmidt, A.3
-
9
-
-
0037880420
-
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
-
C. Liu and J. Shen, A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method, Physica D., 179 (2003), 211-228.
-
(2003)
Physica D
, vol.179
, pp. 211-228
-
-
Liu, C.1
Shen, J.2
-
11
-
-
0000161576
-
Geometrical évolution of developed interfaces
-
P. de Mottoni and M. Schatzman, Geometrical évolution of developed interfaces, Trans. Amer. Math. Soc, 347 (1989), 1533-1589.
-
(1989)
Trans. Amer. Math. Soc
, vol.347
, pp. 1533-1589
-
-
de Mottoni, P.1
Schatzman, M.2
-
12
-
-
0011424112
-
Optimal interface error estimates for the mean curvature flow
-
R. H. Nochetto, M. Paolini and C. Verdi, Optimal interface error estimates for the mean curvature flow, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 21 (1994), 193-212.
-
(1994)
Ann. Scuola Norm. Sup. Pisa Cl. Sci
, vol.21
, pp. 193-212
-
-
Nochetto, R.H.1
Paolini, M.2
Verdi, C.3
-
13
-
-
0030489403
-
Combined effect of explicit time-stepping and quadrature for curvature driven flows
-
R. H. Nochetto and C. Verdi, Combined effect of explicit time-stepping and quadrature for curvature driven flows, Numer. Math., 74 (1996), 105-136.
-
(1996)
Numer. Math
, vol.74
, pp. 105-136
-
-
Nochetto, R.H.1
Verdi, C.2
-
14
-
-
0040517815
-
Convergence past singularities for a fully discrete approximation of curvature-driven interfaces
-
R. H. Nochetto and C. Verdi, Convergence past singularities for a fully discrete approximation of curvature-driven interfaces, SIAM J. Numer. Anal., 34 (1997), 490-512.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 490-512
-
-
Nochetto, R.H.1
Verdi, C.2
-
15
-
-
0001518684
-
On the construction and comparison of difference schemes
-
G. Strang, On the construction and comparison of difference schemes, SIAM J. Numer. Anal., 5 (1968), 506-517.
-
(1968)
SIAM J. Numer. Anal
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
16
-
-
0000567049
-
Efficient spectral-Galerkin method I. Direct solvers for second-and fourth-order equations using Legendre polynomials
-
J. Shen, Efficient spectral-Galerkin method I. Direct solvers for second-and fourth-order equations using Legendre polynomials, SIAM J. Sci. Comput., 15 (1994), 1489-1505.
-
(1994)
SIAM J. Sci. Comput
, vol.15
, pp. 1489-1505
-
-
Shen, J.1
-
17
-
-
34547512592
-
Stability analysis of large time-stepping methods for epitaxial growth models
-
C. Xu and T. Tang, Stability analysis of large time-stepping methods for epitaxial growth models, SIAM J. Numer. Anal., 44 (2006), 1759-1779.
-
(2006)
SIAM J. Numer. Anal
, vol.44
, pp. 1759-1779
-
-
Xu, C.1
Tang, T.2
-
18
-
-
33748521534
-
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
-
X. Yang, J. J. Feng, C. Liu and J. Shen, Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method, J. Comput. Phys., 218 (2006), 417-428.
-
(2006)
J. Comput. Phys
, vol.218
, pp. 417-428
-
-
Yang, X.1
Feng, J.J.2
Liu, C.3
Shen, J.4
-
19
-
-
26844565496
-
Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids
-
P. Yue, J. J. Feng, C. Liu and J. Shen, Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids, J. Non-Newtonian Fluid Mech., 129 (2005), 163-176.
-
(2005)
J. Non-Newtonian Fluid Mech
, vol.129
, pp. 163-176
-
-
Yue, P.1
Feng, J.J.2
Liu, C.3
Shen, J.4
-
20
-
-
33750324569
-
Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
-
P. Yue, C. Zhou, J. J. Feng, C. F. Ollivier-Gooch and H. H. Hu, Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing, J. Comput. Phys., 219 (2006), 47-67.
-
(2006)
J. Comput. Phys
, vol.219
, pp. 47-67
-
-
Yue, P.1
Zhou, C.2
Feng, J.J.3
Ollivier-Gooch, C.F.4
Hu, H.H.5
|