Finite element approximation of an evolution problem modeling shear band formation
Autor: | Sonia M. F. Garcia, Donald A. French |
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Rok vydání: | 1994 |
Předmět: |
Partial differential equation
Mechanical Engineering Mathematical analysis Computational Mechanics General Physics and Astronomy Geometry Mixed finite element method Antiplane shear Finite element method Computer Science Applications Nonlinear system Mechanics of Materials Approximation error Order (group theory) Shear band Mathematics |
Zdroj: | Computer Methods in Applied Mechanics and Engineering. 118:153-161 |
ISSN: | 0045-7825 |
DOI: | 10.1016/0045-7825(94)90110-4 |
Popis: | An error analysis is provided for the spatial approximation by the finite element method of a nonlinear time-dependent problem which models the antiplane shear deformations of a thermoplastic material. This problem consists of a system of two coupled partial differential equations with velocity and temperature unknowns. Optimal order error estimates in the L 2 norm are given for each of these. |
Databáze: | OpenAIRE |
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