Numerical solution for the Cauchy problem in nonlinear 1-D- thermoelasticity

DOI10.1007/BF02241864zbMath0701.73001OpenAlexW2286124203MaRDI QIDQ914429

Song Jiang

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241864

zbMATH Keywords

error estimatesConvergencecoupled numerical schemedifference method for time variablefinite element method for spatial variablenonlinear one- dimensional coupled thermoelasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• A finite element method for equations of one-dimensional nonlinear thermoelasticity
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Far field behavior of solutions to the equations of nonlinear 1-D-Thermoelasticity
• ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS

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