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Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems. (English) Zbl 0627.73002
The paper deals with existence and uniqueness of solutions of various variational formulations of coupled dynamical thermoelasticity and with the convergence of approximate solutions. The first part deals with semidiscrete approximate solutions which are obtained by time discretization of the original variational problem. In the second part the authors consider in addition discretization in space by the finite element method. In the third part the weakest assumptions possible are imposed which require a different definition of the variational solution.
Reviewer: R.Schmidt

74F05 Thermal effects in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
65K10 Numerical optimization and variational techniques
49J20 Existence theories for optimal control problems involving partial differential equations
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
Full Text: EuDML
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