An error estimate for the finite difference approximation to degenerate convection-diffusion equations
DOI10.1007/s00211-011-0433-9zbMath1248.65098arXiv1102.0493OpenAlexW1982439582MaRDI QIDQ431304
Kenneth Hvistendahl Karlsen, Ujjwal Koley, Nils Henrik Risebro
Publication date: 26 June 2012
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.0493
rate of convergencefinite difference schemesentropy conditionsdegenerate convection-diffusion equations
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)
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- Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
- Entropy solutions for nonlinear degenerate problems
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations
- On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
- Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
- A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On the Convergence of Difference Approximations to Scalar Conservation Laws
- Monotone Difference Approximations for Scalar Conservation Laws
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions
- Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
- Diffusive BGK approximations for nonlinear multidimensional parabolic equations
- An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations
- Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
- A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws
- 𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations
- Error estimate for approximate solutions of a nonlinear convection-diffusion problem.