On the Numerical Approximation of First-Order Hamilton-Jacobi Equations

DOI10.2478/v10006-007-0033-0zbMath1147.65323OpenAlexW2106373715MaRDI QIDQ3517408

Vincent Perrier, Remi Abgrall

Publication date: 12 August 2008

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207846

zbMATH Keywords

Dirichlet problemCauchy problemnumerical examplesdiscontinuous Galerkin methodtriangular meshCauchy-Dirichlet problemGodunov schemeviscous solutionapproximation of Hamilton-Jacobi equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Boundary value problems for linear first-order PDEs (35F15)

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On the Numerical Approximation of First-Order Hamilton-Jacobi Equations

Cites Work

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