The rate of convergence of Galerkin approximations for a nonlinear thermoelasticity problem for thin plates (Q1569329)
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scientific article; zbMATH DE number 1467864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rate of convergence of Galerkin approximations for a nonlinear thermoelasticity problem for thin plates |
scientific article; zbMATH DE number 1467864 |
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The rate of convergence of Galerkin approximations for a nonlinear thermoelasticity problem for thin plates (English)
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2 July 2000
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This paper deals with coupled thermoelasticity problem for thin plates described by a system of differential equations consisting of three nonlinear equations of motion for elements of the plate in the framework of Kirchhoff-Love kinematic model, in which a relation between stresses and displacements is taken into account, and of two equations obtained from the three-dimensional heat equation. For the corresponding initial-boundary value problem the authors derive a priori error estimates for Galerkin approximations in a specially chosen basis.
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coupled thermoelasticity problem
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thin plates
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initial-boundary value problem
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Galerkin approximations
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Kirchhoff-Love kinematic model
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a priori error estimates
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