Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term

DOI10.1051/m2an/2023018MaRDI QIDQ6048485

Unnamed Author, Silvia Jerez

Publication date: 14 September 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencediscontinuous coefficientsdegenerate diffusionconvection-diffusion equationsentropy stable schemes

Mathematics Subject Classification ID

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) Numerical analysis (65-XX)

Related Items

High-order entropy stable schemes based on a local adaptive WENO viscosity for degenerate convection-diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semidiscrete central-upwind scheme for conservation laws with a discontinuous flux function in space
• The Kolmogorov-Riesz compactness theorem
• A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units
• Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
• Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source
• Fast and optimal WENO schemes for degenerate parabolic conservation laws
• Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems
• Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
• Entropy Stable Schemes for Degenerate Convection-Diffusion Equations
• Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
• A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case
• Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
• A relaxation scheme for conservation laws with a discontinuous coefficient
• ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS
• Convergence of second-order, entropy stable methods for multi-dimensional conservation laws
• A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units
• Convergence of Upwind Finite Difference Schemes for a Scalar Conservation Law with Indefinite Discontinuities in the Flux Function