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

Year: 2025

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2505.15535

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

Institutions: Heidelberg University, Institute of Fundamental Technological Research, Polish Academy of Sciences, University of Ljubljana, Ruhr University Bochum

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Horizon 2020 Framework Programme

Awards: G2198898644, G3143816526, G3345895242, G3477743816

OpenAlex ID: W4415329089

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