Mathematical Methods in the Applied Sciences · 1989 · 36 citations · 9 references
EngineeringComputational EngineeringMechanical EngineeringFinite Element AnalysisFinite Element MethodsHeat TransferError EstimationFinite Element DiscretizationFinite Element FormulationHeat Transfer AnalysisHeat Transfer ModelingNonlinear Finite Element AnalysisApproximation SchemesDiscrete Approximation SchemesError Estimation For Finite Element SolutionsFinite Element ModelingFinite Element SpacesGalerkin ApproximationGalerkin DiscretizationHeat Equation
Abstract Error estimates are shown for some spatially discrete Galerkin finite element methods for a non‐linear heat equation. The approximation schemes studied are based on the introduction of the enthalpy as a new dependent variable, and also on the application of the Kirchhoff transformation and on interpolation of the non‐linear coefficients into standard Lagrangian finite element spaces.
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