A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes

DOI10.1090/S0025-5718-05-01787-4zbMath1082.65081OpenAlexW2037008679MaRDI QIDQ5713219

Aníbal Coronel, Raimund Bürger, Mauricio Sepúlveda

Publication date: 12 December 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01787-4

zbMATH Keywords

entropy solutionupwind difference scheme

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) 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) Theoretical approximation in context of PDEs (35A35) Suspensions (76T20)

Related Items (11)

Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments ⋮ Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors ⋮ Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension ⋮ Numerical modeling of degenerate equations in porous media flow. Degenerate multiphase flow equations in porous media ⋮ Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux ⋮ Fast reliable simulations of secondary settling tanks in wastewater treatment with semi-implicit time discretization ⋮ Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping ⋮ On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels ⋮ A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory ⋮ Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone difference approximations for the simulation of clarifier-thickener units
• Entropy solutions for nonlinear degenerate problems
• Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
• On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes
• Traveling-wave solutions of the diffusively corrected kinematic-wave model
• Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
• Monotone Difference Approximations for Scalar Conservation Laws
• Some Relations Between Nonexpansive and Order Preserving Mappings
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
• Numerical identification of parameters for a model of sedimentation processes
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
• Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
• ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS
• A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units
• On some upwind difference schemes for the phenomenological sedimentation-consolidation model.

This page was built for publication: A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes