-
1
-
-
0010704492
-
A finite element method for dendritic growth
-
TAYLOR, J. E. ed, AMS Selected Lectures in Mathematics
-
BANSCH, E. & SCHMIDT, A. A finite element method for dendritic growth. in TAYLOR, J. E. (ed), Computational crystal growers workshop. AMS Selected Lectures in Mathematics, pp. 16-20 (1992).
-
(1992)
Computational Crystal Growers Workshop
, pp. 16-20
-
-
Bansch, E.1
Schmidt, A.2
-
4
-
-
0003957050
-
The mathematical theory of finite element methods
-
Sponger, New York
-
BRENNER, S. C. & SCOTT, L. R. The mathematical theory of finite element methods, Vol. 15 of Texts in Applied Mathematics. Sponger, New York (1994).
-
(1994)
Texts in Applied Mathematics
, vol.15
-
-
Brenner, S.C.1
Scott, L.R.2
-
6
-
-
84900530851
-
Length scales in phase transition models: Phase field, Cahn-Hillard and blow-up problems
-
CHADAM, J. et al. eds, Waterloo, Canada, American Mathematical Soaety, Providence, Rhode Island
-
CAGINALP, G. Length scales in phase transition models: Phase field, Cahn-Hillard and blow-up problems. in CHADAM, J. et al. (eds), Pattern formation: symmetry methods and applications. Fields Institute for Research in Mathematical Sciences, Waterloo, Canada, American Mathematical Soaety, Providence, Rhode Island, pp. 67-83 (1996).
-
(1996)
Pattern Formation: Symmetry Methods and Applications. Fields Institute for Research in Mathematical Sciences
, pp. 67-83
-
-
Caginalp, G.1
-
7
-
-
84881080890
-
Stability of interfaces with velocity correction term
-
CHADAM, J. & CAGINALP, G. Stability of interfaces with velocity correction term. Rocky Mt. J. Math. 21, (1991) 617-629.
-
(1991)
Rocky Mt. J. Math.
, vol.21
, pp. 617-629
-
-
Chadam, J.1
Caginalp, G.2
-
8
-
-
0002631224
-
A simple level set method for solving Stefan problems
-
CHEN, S., MERRIMAN, B. OSHER, S., & SMEREKA, P. A simple level set method for solving Stefan problems. J. Comput. Phys. (1997).
-
(1997)
J. Comput. Phys
-
-
Chen, S.1
Merriman, B.2
Osher, S.3
Smereka, P.4
-
9
-
-
0001304426
-
Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
-
CHEN, X. & REITICH, F. Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling. J. Math. Anal. Applic. 164, (1992) 350-362.
-
(1992)
J. Math. Anal. Applic.
, vol.164
, pp. 350-362
-
-
Chen, X.1
Reitich, F.2
-
10
-
-
0003204969
-
The finite element methods for elliptic problems
-
North-Holland, Amsterdam
-
CIARLET, P. G. The finite element methods for elliptic problems, vol. 4 of Studies in Mathematics and its Applications. North-Holland, Amsterdam (1978).
-
(1978)
Studies in Mathematics and its Applications
, vol.4
-
-
Ciarlet, P.G.1
-
11
-
-
0039924882
-
On the approximation of the curve shortening flow
-
BANDLE, C. et al. eds, Pont-a-Mousson, Longman Scientific & Technical
-
DECKELNICK, K. & DZIUK, G. On the approximation of the curve shortening flow. in BANDLE, C. et al. (eds), Calculus of variations, applications and computations. Pont-a-Mousson, Longman Scientific & Technical, pp. 100-108 (1994).
-
(1994)
Calculus of Variations, Applications and Computations
, pp. 100-108
-
-
Deckelnick, K.1
Dziuk, G.2
-
12
-
-
85032229833
-
-
Tech. Report, Centre for Mathematical Analysis and Its Applications, University of Sussex, Falmer, Brighton BN1 9QH, UK
-
DECKELNICK, K. AND ELLIOTT, C. M. Finite element error bounds for curve shrinking with prescribed normal contact to a fixed boundary, Tech. Report 96/20, Centre for Mathematical Analysis and Its Applications, University of Sussex, Falmer, Brighton BN1 9QH, UK, 1996.
-
(1996)
Finite Element Error Bounds for Curve Shrinking with Prescribed Normal Contact to a Fixed Boundary
-
-
Deckelnick, K.1
Elliott, C.M.2
-
14
-
-
0003532178
-
-
CRC Press, Boca Raton, Florida
-
EVANS, L. C. & GARIEPY, R. Measure theory and fine properties of functions, Studies in Advanced Mathematics. CRC Press, Boca Raton, Florida, (1992).
-
(1992)
Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics
-
-
Evans, L.C.1
Gariepy, R.2
-
15
-
-
0000774464
-
The dendrite
-
HURLE, D. T. J. ed., North Holland, Amsterdam - London - New York - Tokyo
-
GLICKSMAN, M. E. & MARSH, S. P. The dendrite. in HURLE, D. T. J. (ed.), Handbook of crystal growth, vol. 1 North Holland, Amsterdam - London - New York - Tokyo (1993).
-
(1993)
Handbook of Crystal Growth
, vol.1
-
-
Glicksman, M.E.1
Marsh, S.P.2
-
16
-
-
0003320921
-
Elliptic problems in nonsmooth domains
-
Pitman Publishing Inc., Massachusetts
-
GRISVARD, P. Elliptic problems in nonsmooth domains, vol. 24 of Monographs and Studies in Mathematics. Pitman Publishing Inc., Massachusetts (1985).
-
(1985)
Monographs and Studies in Mathematics
, vol.24
-
-
Grisvard, P.1
-
18
-
-
0642357472
-
Some remarks on the Stefan problem with surface structure
-
GURTIN, M. E. & SONER, H. M. Some remarks on the Stefan problem with surface structure. Quart. Appl. Math. 52, (1992) 291-303.
-
(1992)
Quart. Appl. Math.
, vol.52
, pp. 291-303
-
-
Gurtin, M.E.1
Soner, H.M.2
-
19
-
-
0029684784
-
A front-tracking method for dendritic solidification
-
JURIC, D. & TRYGGVASON, G. A front-tracking method for dendritic solidification. J. Comput. Phys. 123, (1996) 127-148.
-
(1996)
J. Comput. Phys.
, vol.123
, pp. 127-148
-
-
Juric, D.1
Tryggvason, G.2
-
20
-
-
0342583796
-
Instabilities and pattern formation in crystal growth
-
LANGER, J. S. Instabilities and pattern formation in crystal growth. Rev. Modern Phys. 52, (1980) 1-28.
-
(1980)
Rev. Modern Phys.
, vol.52
, pp. 1-28
-
-
Langer, J.S.1
-
21
-
-
0040517815
-
Convergence past singularities for a fully discrete approximation of curvature-driven interfaces
-
NOCHETTO, R. H. & VERDI, C. 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
-
22
-
-
0030137571
-
Computation of three dimensional dendrites with finite elements
-
SCHMIDT, A. Computation of three dimensional dendrites with finite elements. J. Comput. Phys. 125, (1996) 293-312.
-
(1996)
J. Comput. Phys.
, vol.125
, pp. 293-312
-
-
Schmidt, A.1
-
23
-
-
49449121460
-
A sharp form of the Sobolev trace theorem
-
SCOTT, L. R. A sharp form of the Sobolev trace theorem. J. Func. Anal. 25, (1977) 70-80.
-
(1977)
J. Func. Anal.
, vol.25
, pp. 70-80
-
-
Scott, L.R.1
-
24
-
-
0039404270
-
Applications of Banach space interpolation to finite element theory
-
NASHED, M. Z. ed, of Lecture Notes in Mathematics. Springer, New York
-
SCOTT, L. R. Applications of Banach space interpolation to finite element theory. in NASHED, M. Z. (ed), Functional analysis methods in numerical analysis, vol. 701 of Lecture Notes in Mathematics. Springer, New York (1979).
-
(1979)
Functional Analysis Methods in Numerical Analysis
, vol.701
-
-
Scott, L.R.1
-
25
-
-
84966200902
-
Finite element interpolation of nonsmooth functions satisfying boundary conditions
-
SCOTT, L. R. & ZHANG, S. Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comput. 54, (1990) 483-493.
-
(1990)
Math. Comput.
, vol.54
, pp. 483-493
-
-
Scott, L.R.1
Zhang, S.2
-
26
-
-
34249757566
-
Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling
-
SONER, H. M. Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling. Arch. Rational Mech. Anal. 131, (1995) 139-197.
-
(1995)
Arch. Rational Mech. Anal.
, vol.131
, pp. 139-197
-
-
Soner, H.M.1
-
27
-
-
0025388604
-
Velocity effects in unstable solidification
-
STRAIN, J. Velocity effects in unstable solidification. SIAM J. Appl. Math. 50, (1990) 1-15.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 1-15
-
-
Strain, J.1
-
28
-
-
0003345958
-
Galerkin finite element methods for parabolic problems
-
Springer, Berlin
-
THOMEE, V. Galerkin finite element methods for parabolic problems, vol. 25 of Springer Series in Computational Mathematics. Springer, Berlin (1997).
-
(1997)
Springer Series in Computational Mathematics
, vol.25
-
-
Thomee, V.1
-
31
-
-
0030210763
-
F Algorithms for phase field computation of the dendritic operating state at large supercoolmgs
-
WANG, S. L. & SEKERKA, R. F Algorithms for phase field computation of the dendritic operating state at large supercoolmgs. J. Comput. Phys. 127, (1996).
-
(1996)
J. Comput. Phys.
, vol.127
-
-
Wang, S.L.1
Sekerka, R.2
-
32
-
-
0003320027
-
Weakly differentiate functions
-
Spinger, New York
-
ZIEMER, W. P. Weakly differentiate functions, vol. 120 of Graduate Texts in Mathematics. Spinger, New York (1989).
-
(1989)
Graduate Texts in Mathematics
, vol.120
-
-
Ziemer, W.P.1
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