Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
DOI10.1051/m2an:2008016zbMath1147.65066arXiv0807.0400OpenAlexW2158294561MaRDI QIDQ3522258
Mauricio Sepúlveda, Raimund Bürger, Ricardo Ruiz, Kai Schneider
Publication date: 1 September 2008
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.0400
boundary conditionsentropy solutionadaptive mesh refinementerror boundsdegenerate parabolic equationmonotone schemeadaptive multiresolution schemeupwind difference scheme
Finite volume methods applied to problems in fluid mechanics (76M12) 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) PDEs with low regular coefficients and/or low regular data (35R05) Suspensions (76T20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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- Adaptive mesh refinement for hyperbolic partial differential equations
- An adaptive multiresolution method for combustion problems: application to flame ball-vortex interaction
- Fully adaptive multiscale schemes for conservation laws employing locally varying time stepping
- Entropy solutions for nonlinear degenerate problems
- A conservative fully adaptive multiresolution algorithm for parabolic PDEs
- 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 a finite volume scheme for nonlinear degenerate parabolic equations
- Numerical approximation of hyperbolic systems of conservation laws
- Adaptive multiscale schemes for conservation laws
- An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
- Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
- On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels
- Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
- Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
- Solving Ordinary Differential Equations I
- An optimal control approach to a posteriori error estimation in finite element methods
- Multiresolution schemes for strongly degenerate parabolic equations in one space dimension
- Monotone Difference Approximations for Scalar Conservation Laws
- One-Sided Difference Approximations for Nonlinear Conservation Laws
- On finite-difference approximations and entropy conditions for shocks
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
- Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
- Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
- Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods
- Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
- Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
- A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case
- Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws
- Fully adaptive multiresolution finite volume schemes for conservation laws
- An Introduction to Numerical Analysis
- 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
- Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
- A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units
- On space–time adaptive schemes for the numerical solution of PDEs
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes
- On kinematic waves II. A theory of traffic flow on long crowded roads
- On some upwind difference schemes for the phenomenological sedimentation-consolidation model.