Construction of Simple, Stable, and Convergent High Order Schemes for Steady First Order Hamilton–Jacobi Equations

DOI10.1137/040615997zbMath1197.65167OpenAlexW2033323884MaRDI QIDQ3581049

Remi Abgrall

Publication date: 16 August 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040615997

zbMATH Keywords

algorithmstabilityconvergencenumerical examplesunstructured mesheserror estimatehigh order schemessteady first order Hamilton-Jacobi equations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

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An Efficient Filtered Scheme for Some First Order Time-Dependent Hamilton--Jacobi Equations ⋮ Numerical solution of the optimal transportation problem using the Monge-Ampère equation ⋮ Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations ⋮ Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. ⋮ On the Numerical Approximation of First-Order Hamilton-Jacobi Equations ⋮ Hamilton–Jacobi–Bellman Equations ⋮ Alternating evolution methods for static Hamilton-Jacobi equations ⋮ Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes ⋮ Some non monotone schemes for Hamilton-Jacobi-Bellman equations ⋮ Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations

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