Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative

DOI10.1007/S13160-018-0332-XzbMath1403.74283OpenAlexW2890913459MaRDI QIDQ1630236

Keisuke Yano, Shuji Yoshikawa

Publication date: 7 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0332-x

zbMATH Keywords

finite difference methoderror estimatediscrete variational derivative methodsemilinear thermoelastic system

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (3)

A structure-preserving scheme for the Allen-Cahn equation with a dynamic boundary condition ⋮ Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions ⋮ A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition

Cites Work

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• Hysteresis and phase transitions
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• Discrete Variational Derivative Method
• Stationary solutions to the Falk system on shape memory alloys
• Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements
• Asymptotic Behavior of the Solutions to a Landau--Ginzburg System with Viscosity for Martensitic Phase Transitions in Shape Memory Alloys
• An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys
• Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys
• Stability of the steady state for the Falk model system of shape memory alloys
• Weak solutions for the Falk model system of shape memory alloys in energy class
• Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

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