An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys

DOI10.1093/imanum/drv072zbMath1433.74115OpenAlexW2315944131MaRDI QIDQ4683761

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drv072

zbMATH Keywords

finite difference method shape memory alloys thermoelastic system discrete variational derivative method Falk's model

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case ⋮ Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative ⋮ A structure-preserving scheme for the Allen-Cahn equation with a dynamic boundary condition ⋮ Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature ⋮ Existence and uniqueness of weak solutions for the model representing motions of curves made of elastic materials ⋮ Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate ⋮ A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition

This page was built for publication: An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys