Error Estimates for a Nonlinear Degenerate Parabolic Problem

DOI10.2307/2153061zbMath0767.65071OpenAlexW4254878862MaRDI QIDQ4031568

J. Pousin, Pierre Lesaint

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153061

zbMATH Keywords

convergenceiterative algorithmerror boundsimplicit finite difference schemenonlinear degenerate parabolic problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory ⋮ A priori 𝐿^{𝜌} error estimates for Galerkin approximations to porous medium and fast diffusion equations

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• Semi-discretization in time of a fast diffusion equation
• Error estimates for two-phase Stefan problems in several space variables. II: Nonlinear flux conditions
• Stability of the separable solution for fast diffusion
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Approximation of Degenerate Parabolic Problems Using Numerical Integration

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