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International Journal for Numerical Methods in Engineering

Volumn 28, Issue 11, 1989, Pages 2583-2607

A mixed‐variable continuously deforming finite element method for parabolic evolution problems. Part I: The variational formulation for a single evolution equation

(2) Kececioglu, Ifiyenia a Rubinsky, Boris b

a UNIVERSITY OF ILLINOIS AT CHICAGO (United States)

b UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; HEAT TRANSFER; POROUS MATERIALS;

PARABOLIC EVOLUTION PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS;

MATHEMATICAL TECHNIQUES;

EID: 0024765526 PISSN: 00295981 EISSN: 10970207 Source Type: Journal
DOI: 10.1002/nme.1620281108 Document Type: Article

Times cited : (13)

References (48)

1
- 0024770683
- A mixed‐variable continuously deforming finite element method for parabolic evolution problems. Part II: The coupled problem of phase‐change in porous media
- (1989) Int. j. numer. methods eng. , vol.28 , pp. 2609-2634
- Kececioglu, I.¹ Rubinsky, B.²

2
- 84986970470
- ‘A mixed‐variable continuously deforming finite element method for parabolic evolution problems. Part III: Numerical implementation and computational results’, Int. j. numer. methods eng.
- Kececioglu, I.¹ Rubinsky, B.²

3
- 0003588880
- Interscience Publishers, New York
- (1967) Difference Methods for Initial‐Value Problems
- Richtmeyer, R.D.¹ Morton, K.W.²

4
- 0003432643
- Clarendon Press, Oxford
- (1984) Free and Moving Boundary Problems
- Crank, J.¹

5
- 85040379905
- Springer‐Verlag, New York
- (1984) Numerical Methods in Fluid Dynamics
- Holt, M.¹

6
- 85096888961
- Springer‐Verlag, New York
- (1984) Computational Galerkin Methods
- Fletcher, C.A.J.¹

7
- 0003671429
- Academic Press, New York
- (1977) Finite Element Simulation in Surface and Subsurface Hydrology
- Pinder, G.F.¹ Gray, W.G.²

8
- 0017448882
- Elsevier, Amsterdam
- (1977) Fundamentals of Numerical Reservoir Simulation
- Peaceman, D.W.¹

9
- 0004002971
- Applied Science Publishers, London
- (1979) Petroleum Reservoir Simulation
- Aziz, K.¹ Settari, A.²

10
- 84986980853
- ‘A variational deforming finite element method for computing the propagation of freezing fronts in porous media as a coupled heat flow, fluid flow, and species transport process’, Ph.D. Dissertation, Department of Mechanical Engineering, University of California, Berkeley
- (1987)
- Kececioglu, I.¹

11
- 0001126497
- A numerical solution of the multidimensional solidification (or melting) problem
- (1970) Int. J. Heat Mass Transfer , vol.13 , pp. 1459-1477
- Lazaridis, A.¹

12
- 0001343697
- Numerical computation of the free boundary of the two‐dimensional Stefan problem by space–time finite elements
- (1977) J. Comp. Phys. , vol.25 , pp. 163-181
- Bonnerot, R.¹ Jamet, P.²

13
- 0001235134
- A finite element method for the solution of one‐dimensional phase change problems
- (1981) Int. J. Heat Mass Transfer , vol.24 , pp. 1987-1989
- Rubinsky, B.¹ Cravalho, E.G.²

14
- 0020737499
- Numerical computation, using finite elements for the moving interface in heat transfer problems with phase transformations
- (1983) Numer Heat Transfer , vol.6 , pp. 209-222
- Yoo, J.¹ Rubinsky, B.²

15
- 0022790033
- A finite element study of solidification processes in the presence of natural convection
- (1986) Int. j. numer. methods eng. , vol.23 , pp. 1785-1805
- Yoo, J.¹ Rubinsky, B.²

16
- 0037689793
- A numerical study using ‘front tracking’ finite elements on the morphological stability of a planar interface during transient solidification processes
- (1984) J. Crystal Growth , vol.69 , pp. 29-46
- Tsai, H.L.¹ Rubinsky, B.²

17
- 0346235103
- A front tracking finite element study on change of phase interface stability during solidification processes in solutions
- (1984) J. Crystal Growth , vol.70 , pp. 56-63
- Tsai, H.L.¹ Rubinsky, B.²

18
- 0019367284
- Continuously deforming finite elements for the solution of parabolic problems, with and without phase change
- (1981) Int. j. numer. methods eng. , vol.17 , pp. 81-96
- Lynch, D.R.¹ O'Neill, K.²

19
- 84986968287
- Moving finite elements. I
- (1981) SIAM Journal on Numerical Analysis , vol.18 , pp. 1019-1032
- Miller, K.¹ Miller, R.N.²

20
- 84986968287
- Moving finite elements. II
- (1981) SIAM Journal on Numerical Analysis , vol.18 , pp. 1033-1057
- Miller, K.¹

21
- 0022153639
- Continuously deforming finite elements
- (1985) Int. j. numer. methods eng. , vol.21 , pp. 2099-2126
- Mueller, A.C.¹ Carey, G.F.²

22
- 0000945618
- Heat conservation in deforming element phase change simulation
- (1985) J. Comp. Phys. , vol.57 , pp. 303-317
- Lynch, D.R.¹ Sullivan, J.M.²

23
- 0001176723
- The method of weighted residuals—A review
- (1966) Appl. Mech. Rev. , vol.19 , pp. 735-748
- Finlayson, B.A.¹ Scriven, L.E.²

24
- 0004030596
- Academic Press, New York
- (1972) The Method of Weighted Residuals
- Finlayson, B.A.¹

25
- 50549197546
- A widely applicable type of variational integral—I
- (1964) Chem. Eng. Sci. , vol.19 , pp. 801-806
- Slattery, J.C.¹

26
- 0000324938
- The method of weighted residuals and its relation to certain variational principles for the analysis of transport processes
- (1965) Chem. Eng. Sci. , vol.20 , pp. 395-404
- Finlayson, B.A.¹ Scriven, L.E.²

27
- 0002057905
- Variational principles for elastodynamics
- (1964) Arch. Ration. Mech. Anal. , vol.16 , pp. 34-50
- Gurtin, M.E.¹

28
- 0022767769
- Mesh‐independent spectra in the moving finite element equations
- (1986) SIAM J. Numer. Anal. , vol.23 , pp. 797-814
- Wathen, A.J.¹

29
- 84987018977
- ‘Moving finite elements and oil reservoir modeling’, Ph.D. Thesis, Department of Mathematics, University of Reading
- (1984)
- Wathen, A.J.¹

30
- 84986995060
- ‘The principles and applications of variational methods’, Research Monograph No. 27, Massachusetts Institute of Technology Press, Cambridge, Massachusetts
- (1964)
- Becker, M.¹

31
- 0016894740
- A review of least‐squares methods for solving partial differential equations
- (1976) Int. j. numer. methods eng. , vol.10 , pp. 1021-1046
- Eason, E.D.¹

32
- 84986923349
- ‘Solution of nonlinear differential equations by discrete least squares’, Ph.D. Dissertation, Department of Mechanical Engineering, University of California, Berkeley
- (1975)
- Eason, E.D.¹

33
- 0004260344
- Dover Publications, New York
- (1974) Calculus of Variations
- Wienstock, R.¹

34
- 0001362449
- Finite element simulation of flow in deforming regions
- (1980) Journal of Computational Physics , vol.36 , pp. 135-153
- Lynch, D.R.¹ Gray, W.G.²

35
- 0042905034
- A simplified moving finite difference scheme: Application to dense gas dispersion
- (1984) SIAM Journal on Scientific and Statistical Computing , vol.5 , pp. 667-683
- Kansa, E.J.¹ Morgan, D.L.² Morris, L.K.³

36
- 49049136186
- Boundary‐fitted coordinate systems for numerical solution of partial differential equations—A review
- (1982) J. Comp. Phys. , vol.47 , pp. 1-108
- Thompson, J.F.¹ Warsi, Z.U.A.² Mastin, C.W.³

37
- 84986923467
- A survey of grid generation techniques in computational fluid mechanics
- North‐Holland, Amsterdam
- (1982) Numerical Grid Generation
- Thompson, J.F.¹

38
- 0021781423
- A survey of dynamically‐adaptive grids in the numerical solution of partial differential equations
- (1985) Appl. Numer. Math. , vol.1 , pp. 3-27
- Thompson, J.F.¹

39
- 84986931418
- ‘Adaptive grids generated by elliptic systems’, AIAA 21st Aerospace Sciences Meeting, Reno, Nevada, Jan., AIAA‐Paper No. 83–0451.
- (1983)
- Mastin, C.W.¹ Thompson, J.F.²

40
- 84986931425
- K. N. Ghia, V. Ghia, FED‐Vol., ASME, Applied Mechanics, Bioengineering and Fluids Engineering Conference, Houston, Texas, June
- (1983) Advances in Grid Generation , vol.5

41
- 0016509701
- Computer implementation of the Schwartz‐Christoffel transformation
- (1975) J. Franklin Inst. , vol.299 , pp. 315-322
- Squire, W.¹

42
- 84986996677
- ‘Numerical methods for coordinate transformation’, 4th Computational Fluid Dynamics Conference, July, AIAA Paper No.
- (1979) , pp. 79-1463
- Davis, R.T.¹

43
- 84986923449
- ‘A Schwartz–Christoffel method for generating internal flow grids’, ASME Winter Annual Meeting, Symposium on Flow Predictions and Fluid Dynamics Experiments, Nov.
- (1981)
- Sridhar, K.P.¹ Davis, R.T.²

44
- 0021532019
- Grid generation techniques in computational fluid dynamics
- (1984) AIAA J. , vol.22 , pp. 1505-1523
- Thompson, J.F.¹

45
- 0039094199
- An adaptive finite element method for initial‐boundary value problems for partial differential equations
- (1982) SIAM Journal on Scientific and Statistical Computing , vol.3 , pp. 6-27
- Davis, S.F.¹ Flaherty, J.E.²

46
- 0020877949
- Equidistributing principles in moving finite element methods
- (1983) J. Comp. Appl. Math. , vol.9 , pp. 377-389
- Herbst, B.M.¹ Schoombie, S.W.² Mitchell, A.R.³

47
- 0020183048
- A moving Petrov–Galerkin method for transport equations
- (1982) International Journal for Numerical Methods in Engineering , vol.18 , pp. 1321-1336
- Herbst, B.M.¹ Schoombie, S.W.² Mitchell, A.R.³

48
- 0002565890
- The non‐linear field theories of mechanics
- S. Flugge, Springer‐Verlag, Berlin
- (1965) Encyclopedia of Physics , vol.3-3
- Truesdell, C.¹ Noll, W.²

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