Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations

DOI10.1090/S0025-5718-2012-02610-XzbMath1269.65086MaRDI QIDQ4911900

Ivan Merev, Jianliang Qian, Bernardo Cockburn

Publication date: 20 March 2013

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

zbMATH Keywords

algorithmviscosity solutionnumerical experimentsinitial value problemdiscontinuous Galerkin methodfinite difference schemesa posteriori error estimatesfinite volumetime-dependent Hamilton-Jacobi equations

Mathematics Subject Classification ID

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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method ⋮ The Carleman convexification method for Hamilton-Jacobi equations

Cites Work

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