Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations

DOI10.1051/m2an:2001153zbMath1037.65054OpenAlexW2103661122MaRDI QIDQ2781528

Nicolas Bacaër

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_6_1185_0

zbMATH Keywords

convergencehomogenizationHamilton-Jacobi equationsFrenkel-Kontorova modelssolid-state physicsmin-plus integral eigenvalue problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods for integral equations (65R20) Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Applications to the sciences (65Z05) Existence theories for optimal control problems involving partial differential equations (49J20) Eigenvalue problems for integral equations (45C05)

Related Items (7)

Homogenization of fully overdamped Frenkel-Kontorova models ⋮ Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations ⋮ HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS ⋮ Numerical analysis of generalised max-plus eigenvalue problems. ⋮ THE EFFECTIVE POTENTIAL AND TRANSSHIPMENT IN THERMODYNAMIC FORMALISM AT ZERO TEMPERATURE ⋮ Error estimates for the approximation of the effective Hamiltonian ⋮ A Generalized Newton Method for Homogenization of Hamilton--Jacobi Equations

Uses Software

• Scilab

Cites Work

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• Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula
• Effective Hamiltonians and averaging for Hamiltonian dynamics. I

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