Cermak, Libor; Zlamal, Milos Transformation of dependent variables and the finite element solution of nonlinear evolution equations. (English) Zbl 0444.65078 Int. J. Numer. Methods Eng. 15, 31-40 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 8 Documents 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 Keywords:nonlinear evolution equations; finite element method; nonlinear heat conduction; moving boundary problems; nonlinear degenerate parabolic problem; infiltration in porous media; Stefan problem PDFBibTeX XMLCite \textit{L. Cermak} and \textit{M. Zlamal}, Int. J. Numer. Methods Eng. 15, 31--40 (1980; Zbl 0444.65078) Full Text: DOI 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 [5] Gilding, Archive Rat. Mech. Anal. 61 pp 127– (1976) [6] Meyer, SIAM J. Numer. Anal. 10 pp 522– (1973) [7] Comini, Int. J. num. Meth. Engng 8 pp 613– (1974) [8] Ciavaldini, SIAM J. Numer. Anal. 12 pp 464– (1975) [9] ’A survey of the formulation and solution of free and moving boundary (Stefan) problems’, Report TR/76, Dept. of Mathematics, Brunel University, Uxbridge, Middlesex (1977). [10] Friedman, Trans. Amer. Math. Soc. 133 pp 51– (1968) [11] Douglas, SIAM J. Numer. Anal. 7 pp 575– (1970) [12] and , The Finite Element Method in Partial Differential Equations, John Wiley & Sons, Chichester and New York, 1977. 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.