Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative
type: Item
instance of: scholarly article
title: Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative
zbMATH Open document ID: 1403.74283
author: Keisuke Yano
author: S. Yoshikawa
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 2018-12-07T00:00:00Z
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6990740
zbMATH Keywords: finite difference method
zbMATH Keywords: discrete variational derivative method
zbMATH Keywords: semilinear thermoelastic system
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: s13160-018-0332-x
OpenAlex ID: W2890913459
cites work: Hysteresis and phase transitions
cites work: Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys
cites work: Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
cites work: Discrete Variational Derivative Method
cites work: Travelling wave solutions as dynamic phase transitions in shape memory alloys
cites work: Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements
cites work: Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys
cites work: Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys
cites work: Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
cites work: Asymptotic Behavior of the Solutions to a Landau--Ginzburg System with Viscosity for Martensitic Phase Transitions in Shape Memory Alloys
cites work: Stability of the steady state for the Falk model system of shape memory alloys
cites work: Stationary solutions to the Falk system on shape memory alloys
cites work: Weak solutions for the Falk model system of shape memory alloys in energy class
cites work: A conservative finite difference scheme for the Falk model system of shape memory alloys
cites work: Energy method for structure-preserving finite difference schemes and some properties of difference quotient
cites work: An error estimate for structure-preserving finite difference scheme for the Falk model system of shape memory alloys
DOI: 10.1007/S13160-018-0332-X
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description: scientific article; zbMATH DE number 6990740