Transformation of dependent variables and the finite element solution of nonlinear evolution equations

DOI10.1002/nme.1620150104zbMath0444.65078OpenAlexW2065900266MaRDI QIDQ3888477

Libor Čermák, Miloš Zlámal

Publication date: 1980

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620150104

zbMATH Keywords

finite element methodStefan problemmoving boundary problemsnonlinear evolution equationsnonlinear heat conductioninfiltration in porous medianonlinear degenerate parabolic problem

Mathematics Subject Classification ID

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

Related Items (8)

Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions ⋮ Error estimates for two-phase Stefan problems in several space variables. II: Nonlinear flux conditions ⋮ Numerical realization of blow‐up spiral wave solutions of a nonlinear heat‐transfer equation ⋮ Numerical solution of a multidimensional two-phase stefan problem ⋮ Unnamed Item ⋮ Estimation d'erreur optimale et de type superconvergence de la méthode des éléments finis pour un problème aux limites, dégénéré ⋮ Finite element approximation of a nonlinear heat conduction problem in anisotropic media ⋮ Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem

Cites Work

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