Practical Convergence Rates for Degenerate Parabolic Equations

DOI10.1007/978-3-319-49262-9_9zbMath1372.35166OpenAlexW2593452803MaRDI QIDQ5282886

E. B. Storrøsten, Nils Henrik Risebro, Kenneth Hvistendahl Karlsen

Publication date: 17 July 2017

Published in: Innovative Algorithms and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10852/68797

zbMATH Keywords

convection-diffusionoptimal convergence ratedegenerate parabolic equationsapproximation of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)

Related Items

Singular diffusion with Neumann boundary conditions

Cites Work

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• Error estimates for a mixed finite element discretization of some degenerate parabolic equations
• On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
• 𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations
• The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws
• The Convergence Rate of Godunov Type Schemes
• Entropy Solutions for Diffusion-Convection Equations with Partial Diffusivity
• The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
• Error Estimates for a Class of Degenerate Parabolic Equations
• Continuous dependence and error estimation for viscosity methods
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations

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