An uncoupled numerical scheme for the equations of nonlinear one- dimensional thermoelasticity

DOI10.1016/0377-0427(91)90037-KzbMath0725.73014MaRDI QIDQ2277892

Song Jiang

Publication date: 1991

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

zbMATH Keywords

existenceuniquenessapproximate solutionserror estimatetime variablefinite element method for spatial variablesuncoupled difference scheme

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (5)

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space ⋮ Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements ⋮ Harmonic wave generation in nonlinear thermoelasticity ⋮ Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment ⋮ Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity

Cites Work

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• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• On a finite element method for the equations of one-dimensional nonlinear thermoviscoelasticity
• 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
• Equivalent Norms for Sobolev Spaces
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

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