Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems

DOI10.21136/am.1986.104199zbMath0627.73002OpenAlexW2599693108MaRDI QIDQ3763640

Jozef Kacur, Alexander Ženíšek

Publication date: 1986

Full work available at URL: https://eudml.org/doc/15448

zbMATH Keywords

regularityconvergencefinite element methodRothe's methodtime discretizationdiscretization in spaceweakest assumptionsEuler's backward formulacoupled dynamical thermoelasticitycoupled consolidation of claysemidiscrete approximate solutions

Mathematics Subject Classification ID

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

Related Items

Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III, Finite element variational crimes in parabolic-elliptic problems. I: Nonlinear schemes, An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation, Regularity of a thermoelastic problem with variable parameters, Unnamed Item

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