SIAM Journal on Numerical Analysis · 1993 · 34 citations · 6 references
Natural SciencesComputational EngineeringComputational Fluid DynamicsDifferential EquationsDiffusion ProcessesIterative SolversNumerical AlgorithmsNumerical Methods For Differential EquationsPartial Differential EquationsVariational FormulationEnthalpyNewton ConvergenceNonlinear DiffusionNonlinear Diffusion EquationsNonlinear Variational ProblemsNumerical Solutions Of Partial Differential EquationsVariational Methods In Partial Differential EquationsVariational Problems
An approximation of degenerate parabolic problems (of porous medium and Stefan type) is studied. The enthalpy formulation and the variational technique are used. Nonstandard semidiscretization in time is used and Newton-like iterations are applied to solve the corresponding elliptic problems. Some numerical experiments are discussed and compared to other methods and to analytic solutions.
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