Fully and semi-automated shape differentiation in NGSolve

In this paper, we present a framework for automated shape differentiation in the finite element software NGSolve. Our approach combines the mathematical Lagrangian approach for differentiating PDE-constrained shape functions with the automated differentiation capabilities of NGSolve. The user can de...

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Detalles Bibliográficos
Autores principales: Gangl, Peter, Sturm, Kevin, Neunteufel, Michael, Schöberl, Joachim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Educational Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550642/
https://www.ncbi.nlm.nih.gov/pubmed/34776815
http://dx.doi.org/10.1007/s00158-020-02742-w

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550642/
https://www.ncbi.nlm.nih.gov/pubmed/34776815
http://dx.doi.org/10.1007/s00158-020-02742-w

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