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Meyer, Gunter H.

Hele-Shaw flow with a cusping free boundary. (English) Zbl 0482.76089

J. Comput. Phys. 44, 262-276 (1981).
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Cited in 6 Documents

MSC:

76S05 Flows in porous media; filtration; seepage
76M99 Basic methods in fluid mechanics
76D99 Incompressible viscous fluids

Keywords:

Hele-Shaw flow; cusping free boundary; suction; nontrivial model problem; two-dimensional transient; multi-grid method
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References:

[1] Bonnerot, R.; Jamet, P., J. Comput. Phys., 41, 357-388 (1981) · Zbl 0466.65071
[2] Brandt, A., Math. Comp., 31, 333-390 (1977) · Zbl 0373.65054
[3] Delves, R. T., (Pamplin, B. R., Crystal Growth (1975), Pergamon Press: Pergamon Press Oxford)
[4] Eliott, C. M., J. Inst. Math. Appl., 25, 121-131 (1980) · Zbl 0428.49003
[5] Elliott, C. M.; Janovský, V., (Whiteman, J. R., 1978 Proceedings of Mafelap (1979), Academic Press: Academic Press London)
[6] Kinderlehrer, D.; Stampacchia, G., An Introduction to Variational Inequalities and Their Applications (1980), Academic Press: Academic Press New York · Zbl 0457.35001
[7] McGeough, J. A., Principles of Electrochemical Machining (1974), Chapman & Hall: Chapman & Hall London · Zbl 0501.35077
[8] Meyer, G. H., SIAM J. Numer. Anal., 18, 150-164 (1981) · Zbl 0473.76041
[9] Ockendon, J. R., (Wilson, D. G.; Solomon, A. D.; Boggs, P. T., Moving Boundary Problems (1978), Academic Press: Academic Press New York)
[10] Scheidegger, A. E., The Physics of Flow Through Porous Media (1960), Univ. of Toronto Press: Univ. of Toronto Press Toronto · Zbl 0087.21204
[11] (Wilson, D. G.; Solmon, A. D.; Boggs, P. T., Moving Boundary Problems (1978), Academic Press: Academic Press New York)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.