Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation

DOI10.1016/j.cma.2021.113817zbMath1506.65222OpenAlexW3155919959MaRDI QIDQ2236966

T. Oberbichler, Kai-Uwe Bletzinger, Roland Wüchner

Publication date: 26 October 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2021.113817

zbMATH Keywords

automatic differentiationisogeometric analysisadjoint methodalgorithmic differentiationisogeometric B-rep analysis (IBRA)core-congruential formulation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• ADOL-C
• dco/c++
• CoDiPack
• GitHub
• Hyperjet

Cites Work

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• Isogeometric Analysis
• Algorithmic Differentiation in Finance Explained
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