A posteriori error estimates for the effective Hamiltonian of dislocation dynamics

DOI10.1007/s00211-011-0430-zzbMath1248.65097OpenAlexW2082099246MaRDI QIDQ431299

Antonin Chambolle, Régis Monneau, Simone Cacace

Publication date: 26 June 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0430-z

zbMATH Keywords

stabilityerror estimateviscosity solutionsdislocation dynamicsHamiltonian-Jacobi equationnumerical exampless

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) 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)

Related Items (6)

Error analysis of the high order scheme for homogenization of Hamilton-Jacobi equation ⋮ A Simple Explicit Operator-Splitting Method for Effective Hamiltonians ⋮ Numerical homogenization of a second order discrete model for traffic flow ⋮ Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space ⋮ A Generalized Newton Method for Homogenization of Hamilton--Jacobi Equations ⋮ Dynamics for Systems of Screw Dislocations

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