ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS

DOI10.1142/S0219891610002177zbMath1204.65118MaRDI QIDQ3063661

Nikolaos Sfakianakis, Christos Arvanitis, Charalambos G. Makridakis

Publication date: 15 December 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

conservation lawsfinite difference methodadaptive mesh refinemententropy conservative schemesmesh adaptionshock computationsnon-classical shocks

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

A wavelet-free approach for multiresolution-based grid adaptation for conservation laws ⋮ A balanced-force algorithm for two-phase flows ⋮ Entropy dissipation of moving mesh adaptation ⋮ A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution ⋮ A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model ⋮ Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Numerical analysis for conservation laws using \(l_1\) minimization

Cites Work

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• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• Simple adaptive grids for 1-D initial value problems
• Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws
• Adaptive Finite Element Relaxation Schemes for Hyperbolic Conservation Laws
• Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
• Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws
• Systems of Conservation Equations with a Convex Extension

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