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Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead

21 May 2025arXiv:2505.15535links table onlyarchive 2025-07-28

Michał Wichrowski, Mohsen Rezaee-Hajidehi, Jože Korelc, Martin Kronbichler, Stanisław Stupkiewicz

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This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code generation is done via automatic differentiation (AD) with AceGen. We compare hand-written and AD-generated codes under two computing strategies: on-the-fly evaluation and caching intermediate results. The comparison reveals that the AD-generated code achieves superior performance in matrix-free computations.

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