HOMOGENIZATION OF FIRST-ORDER EQUATIONS WITH u/∊-PERIODIC HAMILTONIAN: RATE OF CONVERGENCE AS ∊ → 0 AND NUMERICAL METHODS

DOI10.1142/S0218202511005349zbMath1232.35014arXiv0912.1967OpenAlexW2151881509MaRDI QIDQ3087522

Yves Achdou, Stefania Patrizi

Publication date: 16 August 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1967

zbMATH Keywords

rate of convergenceviscosity solutionhomogenizationHamilton-Jacobi equationsnumerical approximationeffective Hamiltonian

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (3)

Rates of convergence in periodic homogenization of nonlocal Hamilton–Jacobi–Bellman equations, ⋮ Continuous dependence estimates for the ergodic problem of Bellman equation with an application to the rate of convergence for the homogenization problem ⋮ A Generalized Newton Method for Homogenization of Hamilton--Jacobi Equations

Cites Work

• Unnamed Item
• Motion of level sets by mean curvature. I
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Efficient implementation of weighted ENO schemes
• Some homogenization results for non-coercive Hamilton-Jacobi equations
• Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations
• Two approximations of solutions of Hamilton-Jacobi equations
• HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS
• Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
• Periodic homogenisation of certain fully nonlinear partial differential equations
• User’s guide to viscosity solutions of second order partial differential equations
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• The perturbed test function method for viscosity solutions of nonlinear PDE
• Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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