Schemes with Well-Controlled Dissipation

DOI10.1137/130933551zbMath1318.65049OpenAlexW1967383500MaRDI QIDQ5253561

Siddhartha Mishra, Jan Ernest, Philippe G. LeFloch

Publication date: 27 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130933551

zbMATH Keywords

convergenceentropy solutionconservation lawkinetic relationnumerical experimentshocksnonclassical shockHall coefficientmagnetohydrodynamics modelnonlinear elasticity systemwell-controlled dissipation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) 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) Finite difference methods applied to problems in solid mechanics (74S20) Magnetohydrodynamics and electrohydrodynamics (76W05) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

A data-driven physics-informed finite-volume scheme for nonclassical undercompressive shocks ⋮ Numerical path preserving Godunov schemes for hyperbolic systems ⋮ Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient ⋮ A new class of entropy stable schemes for hyperbolic systems: Finite element methods

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