Estimates of error in finite element approximate solutions to problems in linear thermoelasticity. II. Computationally uncoupled numerical schemes

DOI10.1007/BF00250865zbMath0555.73075OpenAlexW1619626704MaRDI QIDQ761271

D. Kharzeev

Publication date: 1984

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250865

zbMATH Keywords

error boundsinitial boundary value problemscomputationally uncoupled numerical schemeslinear thermoelasticitiy

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

On a finite element method for the equations of one-dimensional nonlinear thermoviscoelasticity ⋮ A \(C^ 1\) finite element collocation method for the equations of one- dimensional nonlinear thermoviscoelasticity ⋮ Mathematical Analysis and Numerical Simulation of a Nonlinear Thermoelastic System ⋮ An uncoupled numerical scheme for the equations of nonlinear one- dimensional thermoelasticity

Cites Work

• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• Error estimates of finite element approximations for problems in linear elasticity. I: Problems in elastostatics
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• $L^2 $ Error Bounds for the Rayleigh–Ritz–Galerkin Method
• Approximate Solutions in Linear, Coupled Thermoelasticity
• Variational principles for linear coupled thermoelasticity
• Galerkin Methods for Parabolic Equations
• 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
• Galerkin Methods for Vibration Problems in Two Space Variables
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