-
1
-
-
85140869950
-
-
W. BAO AND Q. DU, Computing the ground state of the BEC via normalized gradient flow, SIAM J. Scientific Comp., 25, pp.1674-1697, 2004
-
W. BAO AND Q. DU, Computing the ground state of the BEC via normalized gradient flow, SIAM J. Scientific Comp., 25, pp.1674-1697, 2004
-
-
-
-
2
-
-
33244464096
-
Phase-field approach to 3D vesicle dynamics
-
T. BIBEN, K. KASSNER AND C. MISBAH, Phase-field approach to 3D vesicle dynamics, Phys. Rev. E., 72, pp.041921, (2005).
-
(2005)
Phys. Rev. E
, vol.72
, pp. 041921
-
-
BIBEN, T.1
KASSNER, K.2
MISBAH, C.3
-
4
-
-
0002813701
-
A numerical analysis of an anisotropic phase field model
-
G. CAGINALP AND J. T. LIN, A numerical analysis of an anisotropic phase field model, IMA J. Appl. Math., 39, p.51-66, 1987.
-
(1987)
IMA J. Appl. Math
, vol.39
, pp. 51-66
-
-
CAGINALP, G.1
LIN, J.T.2
-
5
-
-
21844497553
-
-
Z. CHEN AND K. HOFFMANN, An error estimate for a finite element scheme for a phase field model, IMA J. Numer. Anal, 14, pp.243-255, 1994.
-
Z. CHEN AND K. HOFFMANN, An error estimate for a finite element scheme for a phase field model, IMA J. Numer. Anal, 14, pp.243-255, 1994.
-
-
-
-
7
-
-
0033317391
-
Centroidal Voronoi tessellations: Applications and algorithms
-
Q. DU, V. FABER, AND M. GUNZBORGER, Centroidal Voronoi tessellations: Applications and algorithms, SIAM Review, 41, pp.637-676, 1999.
-
(1999)
SIAM Review
, vol.41
, pp. 637-676
-
-
DU, Q.1
FABER, V.2
GUNZBORGER, M.3
-
8
-
-
20144381478
-
Semidiscrete finite element approximations of a linear fluid-structure interaction problem
-
Q. Du, M. GUNZBURGER, LS. HOU, J. LEE, Semidiscrete finite element approximations of a linear fluid-structure interaction problem, SIAM J. Numer. Anal., 42, pp.1-29, 2004.
-
(2004)
SIAM J. Numer. Anal
, vol.42
, pp. 1-29
-
-
Du, Q.1
GUNZBURGER, M.2
HOU, L.S.3
LEE, J.4
-
9
-
-
29144514194
-
A phase field formulation of the Willmore problem
-
Q. DU, C. LIU, R. RYHAM AND X. WANG, A phase field formulation of the Willmore problem, Nonlinearity, 18, pp. 1249-1267, 2005.
-
(2005)
Nonlinearity
, vol.18
, pp. 1249-1267
-
-
DU, Q.1
LIU, C.2
RYHAM, R.3
WANG, X.4
-
10
-
-
29144441852
-
Phase field modeling of the spontaneous curvature effect in cell membranes
-
Q. DU, C. LIU, R. RYHAM AND X. WANG, Phase field modeling of the spontaneous curvature effect in cell membranes, Comm Pure Appl Anal, 4, pp.537-548, 2005.
-
(2005)
Comm Pure Appl Anal
, vol.4
, pp. 537-548
-
-
DU, Q.1
LIU, C.2
RYHAM, R.3
WANG, X.4
-
11
-
-
34248397747
-
Modeling Vesicle Deformations in Flow Fields via Energetic Variational Approaches
-
preprint
-
Q. DU, C. LIU, R. RYHAM AND X. WANG, Modeling Vesicle Deformations in Flow Fields via Energetic Variational Approaches, preprint, 2006.
-
(2006)
-
-
DU, Q.1
LIU, C.2
RYHAM, R.3
WANG, X.4
-
12
-
-
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, Journal of Computational Physics, 198, pp.450-468, 2004.
-
(2004)
Journal of Computational Physics
, vol.198
, pp. 450-468
-
-
DU, Q.1
LIU, C.2
WANG, X.3
-
13
-
-
85189846674
-
-
Q. DU, C. LIU AND X. WANG, Simulating the Deformation of Vesicle Membranes under Elastic Bending Energy in Three Dimensions, Journal of Computational Physics, 212, pp.757-777, 2005.
-
Q. DU, C. LIU AND X. WANG, Simulating the Deformation of Vesicle Membranes under Elastic Bending Energy in Three Dimensions, Journal of Computational Physics, 212, pp.757-777, 2005.
-
-
-
-
14
-
-
29144511275
-
Retrieving Topological Information For Phase Field Models
-
Q. DU, C. LIU, AND X. WANG, Retrieving Topological Information For Phase Field Models, SIAM Journal on Applied Mathematics, 65, pp.1913-1932, 2005.
-
(2005)
SIAM Journal on Applied Mathematics
, vol.65
, pp. 1913-1932
-
-
DU, Q.1
LIU, C.2
WANG, X.3
-
15
-
-
0026238354
-
Numerical studies of a continuum model of phase transition
-
Q. DU AND R. NICOLAIDES, Numerical studies of a continuum model of phase transition, SIAM J. Numer. Anal., 28, pp.1310-1322, 1991.
-
(1991)
SIAM J. Numer. Anal
, vol.28
, pp. 1310-1322
-
-
DU AND, Q.1
NICOLAIDES, R.2
-
16
-
-
0009898683
-
Analysis and convergence of a covolume approximation of the Ginzburg-Landau models of superconductivity
-
Q. DU, R. NICOLAIDES AND X. WU, Analysis and convergence of a covolume approximation of the Ginzburg-Landau models of superconductivity, SIAM J. Numer. Anal., 35, pp1049-1072, 1998.
-
(1998)
SIAM J. Numer. Anal
, vol.35
, pp. 1049-1072
-
-
DU, Q.1
NICOLAIDES, R.2
WU, X.3
-
17
-
-
50049118823
-
Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
-
preprint
-
Q. DU AND J. ZHANG, Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations, preprint, 2006.
-
(2006)
-
-
DU AND, Q.1
ZHANG, J.2
-
18
-
-
33744957495
-
Analysis of a Mixed Finite Element Method for a Phase Field Elastic Bending Energy Model of Vesicle Membrane Deformation, to appear in J
-
Q. DU AND L. ZHU, Analysis of a Mixed Finite Element Method for a Phase Field Elastic Bending Energy Model of Vesicle Membrane Deformation, to appear in J. Computational Mathematics, 2006.
-
(2006)
Computational Mathematics
-
-
DU AND, Q.1
ZHU, L.2
-
19
-
-
0001475208
-
A second order splitting method for the Cahn-Hilliard equation
-
C. ELLIOTT, D. FRENCH AND F. MILNER, A second order splitting method for the Cahn-Hilliard equation, Numer. Math., 54, pp.575-590, 1989.
-
(1989)
Numer. Math
, vol.54
, pp. 575-590
-
-
ELLIOTT, C.1
FRENCH, D.2
MILNER, F.3
-
20
-
-
84968516048
-
Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation
-
C. ELLIOTT AND S. LARSSON, Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation, Math. Comp., 58, pp.603-630, 1992.
-
(1992)
Math. Comp
, vol.58
, pp. 603-630
-
-
ELLIOTT, C.1
LARSSON, S.2
-
21
-
-
1642633953
-
-
X. FENG AND A. PROHL, Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits, Math. Comp., 73, pp.541-567, 2004.
-
X. FENG AND A. PROHL, Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits, Math. Comp., 73, pp.541-567, 2004.
-
-
-
-
22
-
-
0011474454
-
-
G. J. FIX AND J. T. LIN, Numerical simulations of nonlinear phase transitions. I. The isotropic case, Nonlinear Anal., 12, pp.811-823, 1988
-
G. J. FIX AND J. T. LIN, Numerical simulations of nonlinear phase transitions. I. The isotropic case, Nonlinear Anal., 12, pp.811-823, 1988
-
-
-
-
23
-
-
84943997802
-
Elastic properties of lipid bilayers: Theory and possible experiments
-
W. HELFRICH, Elastic properties of lipid bilayers: Theory and possible experiments. Z. Naturforsch. C, 28, pp.693-703, 1973.
-
(1973)
Z. Naturforsch. C
, vol.28
, pp. 693-703
-
-
HELFRICH, W.1
-
24
-
-
0035999311
-
-
2 AN, 36, pp.205-222, 2002.
-
2 AN, 36, pp.205-222, 2002.
-
-
-
-
25
-
-
0026822185
-
Direct discretization of planar div-curl problems
-
R. NICOLAIDES, Direct discretization of planar div-curl problems, SIAM J. Numer. Anal. 29, pp.32-56, 1992,
-
(1992)
SIAM J. Numer. Anal
, vol.29
, pp. 32-56
-
-
NICOLAIDES, R.1
-
26
-
-
0003776965
-
-
World Scientific, Singapore
-
Z. OU-YANG, J. LIU, AND Y. XIE, Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases, World Scientific, Singapore, 1999.
-
(1999)
Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases
-
-
OU-YANG, Z.1
LIU, J.2
XIE, Y.3
-
27
-
-
0030735760
-
Configurations of fluid membranes and Vesicles
-
U. SEIFERT, Configurations of fluid membranes and Vesicles, Advances in Physics, 46, pp.13-137, 1997.
-
(1997)
Advances in Physics
, vol.46
, pp. 13-137
-
-
SEIFERT, U.1
-
30
-
-
50049124712
-
-
X. WANG AND Q. DU, Diffusive Interface Models for Multi-component Lipid Membranes and Open Membranes, IMA Preprint, University of Minnesota, 2006.
-
X. WANG AND Q. DU, Diffusive Interface Models for Multi-component Lipid Membranes and Open Membranes, IMA Preprint, University of Minnesota, 2006.
-
-
-
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