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Transformation of dependent variables and the finite element solution of nonlinear evolution equations. (English) Zbl 0444.65078


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35K65 Degenerate parabolic equations
35R35 Free boundary problems for PDEs
76S05 Flows in porous media; filtration; seepage
35K05 Heat equation
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References:

[1] ’Finite element methods in heat conduction problems’ in The Mathematics of Finite Elements and Applications, vol. II (Ed. ), Academic Press, London and New York, 1976, pp. 85-104.
[2] Crouzeix, Rev. Francaise Automat. Informat. Rech. Opérationnelle Sér. Rouge 7 pp 33– (1973)
[3] The Finite Element Method in Engineering Science, 2nd edn., McGraw-Hill, London, 1971.
[4] Dynamics of Fluids in Porous Media, American Elsevier, New York and London, 1972. · Zbl 1191.76001
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[12] and , The Finite Element Method in Partial Differential Equations, John Wiley & Sons, Chichester and New York, 1977.
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