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Published in:
2008 | OriginalPaper | Chapter
The Diamant Approach for an Efficient Automatic Differentiation of the Asymptotic Numerical Method
Authors : Isabelle Charpentier, Arnaud Lejeune, Michel Potier-Ferry
Published in: Advances in Automatic Differentiation
Publisher: Springer Berlin Heidelberg
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Based on high-order Taylor expansions, the asymptotic numerical method (ANM) is devoted to the solution of nonlinear partial differential equation (PDE) problems arising, for instance, in mechanics. Up to now, series were mainly handwritten and hand-coded. The note discusses the automation of the specific derivative computations involved in the ANM and presents the automatic differentiation (AD) approach Diamant. As any AD tool, Diamant is generic and may be used to differentiate the code of any differentiable behaviour law. Numerical performances, measured while solving a mechanical PDE problem, prove the efficiency of the Diamant approach.