Optimal error estimates for an approximation of degenerate parabolic problems

DOI10.1080/01630568708816253zbMath0598.65091OpenAlexW1997717231MaRDI QIDQ3732920

Claudio Verdi

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816253

zbMATH Keywords

finite elementsoptimal error estimatesfree boundary problemsStefan problemsdegenerate parabolic equationsporous medium equationsbackward differencesenergy normselectromechanical machining problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Chemically reacting flows (80A32) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (9)

A space-time finite element method for nonlinear parabolic problems ⋮ A stable approximation of a constrained optimal control for continuous casting ⋮ The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems ⋮ Error analysis of nonlinear evolution equations and associated dynamical systems ⋮ Smoothing and newton's method for a discontinuous variational equation of stefan type^∗ ⋮ An efficient linear scheme to approximate nonlinear diffusion problems ⋮ Smoothing and Rothe's method for Stefan problems in enthalpy form ⋮ An Efficient Linear Scheme to Approximate Parabolic Free Boundary Problems: Error Estimates and Implementation ⋮ A priori 𝐿^{𝜌} error estimates for Galerkin approximations to porous medium and fast diffusion equations

Cites Work

• Unnamed Item
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• Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions
• On the numerical approach to a two-phase Stefan problem with nonlinear flux
• Quasilinear elliptic-parabolic differential equations
• Approximation of nonlinear evolution systems
• Implicit Finite—difference Solutions of the Enthalpy Formulation of Stefan Problems
• Finite Element Methods for a Class of Nonlinear Evolution Equations
• Regularization for a Class of Nonlinear Evolution Equations
• A Nonlinear Parallel Algorithm with Application to the Stefan Problem
• An Enthalpty Formulation of the Stefan Problem

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