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Automation of primal and sensitivity analysis of transient coupled problems

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Abstract

The paper describes a hybrid symbolic–numeric approach to automation of primal and sensitivity analysis of computational models formulated and solved by finite element method. The necessary apparatus for the automation of steady-state, steady-state coupled, transient and transient coupled problems is introduced as combination of a symbolic system, an automatic differentiation (AD) technique and an automatic code generation. For this purpose the paper extends the classical formulation of AD by additional operators necessary for a high abstract description of primal and sensitivity analysis of the typical computational models. An appropriate abstract description for the fully implicit primal and sensitivity analysis of hyperelastic and elasto-plastic problems and a symbolic input for the generation of necessary user subroutines for the two-dimensional, hyperelastic finite element are presented at the end.

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Authors and Affiliations

  1. Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000, Ljubljana, Slovenia

    Jože Korelc

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  1. Jože Korelc
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Correspondence to Jože Korelc.

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Korelc, J. Automation of primal and sensitivity analysis of transient coupled problems. Comput Mech 44, 631–649 (2009). https://doi.org/10.1007/s00466-009-0395-2

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  • DOI: https://doi.org/10.1007/s00466-009-0395-2

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