A characteristic Galerkin method with adaptive error control for the continuous casting problem

DOI10.1016/S0045-7825(99)00295-9zbMath0960.76045OpenAlexW2024619373MaRDI QIDQ1581972

Ricardo H. Nochetto, Zhiming Chen, Alfred Schmidt

Publication date: 10 May 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00295-9

zbMATH Keywords

method of characteristicsa posteriori error estimatesdegenerate parabolic equationsvanishing diffusioncontinuous casting problemcontinuous piecewise linear finite elementsconvection-dominated nonlinearly degenerate diffusion equationlinear dual problem

Mathematics Subject Classification ID

Diffusion (76R50) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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