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Document type:
Zeitschriftenaufsatz 
Author(s):
Oberbichler, Thomas; Wüchner, Roland; Bletzinger, Kai-Uwe 
Title:
Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation 
Abstract:
We present a consistent and efficient approach to the formulation of geometric nonlinear finite elements for isogeometric analysis (IGA) and isogeometric B-Rep analysis (IBRA) based on the adjoint method. IGA elements are computationally expensive, especially for high polynomial degrees. Using the method presented here enables us to reduce this disadvantage and develop a methodical framework for the efficient implementation of IGA elements. The elements are consistently derived from energy funct...    »
 
Keywords:
Adjoint method, Core-congruential formulation, Isogeometric analysis, Isogeometric B-Rep analysis (IBRA), Algorithmic differentiation, Automatic differentiation 
Journal title:
Computer Methods in Applied Mechanics and Engineering 
Year:
2021 
Journal volume:
381 
Pages contribution:
113817 
Print-ISSN:
0045-7825