A Lax--Wendroff type theorem for unstructured quasi-uniform grids

DOI10.1090/S0025-5718-06-01881-3zbMath1110.65060arXivmath/0509331OpenAlexW2089016145MaRDI QIDQ3420430

Volker Elling

Publication date: 2 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0509331

zbMATH Keywords

convergencenumerical examplefinite volume methodCauchy problemconservation lawLax-Wendroff theorem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (6)

Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes ⋮ Supersonic flow onto a solid wedge ⋮ Consistency of finite volume approximations to nonlinear hyperbolic balance laws ⋮ On the weak consistency of finite volumes schemes for conservation laws on general meshes ⋮ The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids ⋮ A Lax--Wendroff type theorem for unstructured quasi-uniform grids

Cites Work

• Unnamed Item
• Unnamed Item
• Conservative rezoning (remapping) for general quadrilateral meshes
• Conservative remapping and region overlays by intersecting arbitrary polyhedra
• Uniqueness of weak solutions to systems of conservation laws
• Numerical approximation of hyperbolic systems of conservation laws
• Convergence of higer order finite volume schemes on irregular grids
• Incremental remapping as a transport/advection algorithm
• On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
• A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence
• A Lax--Wendroff type theorem for unstructured quasi-uniform grids
• Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids
• Accurate Conservative Remapping (Rezoning) for Arbitrary Lagrangian-Eulerian Computations
• Monotone Difference Approximations for Scalar Conservation Laws
• Some Relations Between Nonexpansive and Order Preserving Mappings
• Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: The Corrected Antidiffusive Flux Approach
• On finite-difference approximations and entropy conditions for shocks
• Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory
• An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws
• Systems of conservation laws

This page was built for publication: A Lax--Wendroff type theorem for unstructured quasi-uniform grids