Matrix-free methods for finite-strain elasticity : automatic code generation with no performance overhead

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

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.

• Language: English
• Keywords: automatic differentiation, code generation, finite elements, finite-strain elasticity, high-performance computing, matrix-free
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 20 str.
• Numbering: Vol. 126, issue 22, art. e70166
• PID: 20.500.12556/RUL-180562
• UDC: 519.62:004.94
• ISSN on article: 1097-0207
• DOI: 10.1002/nme.70166
• COBISS.SI-ID: 271239427
• Publication date in RUL: 11.03.2026

Record is a part of a journal

• Title: International journal for numerical methods in engineering
• Shortened title: Int. j. numer. methods eng.
• Publisher: Wiley
• ISSN: 1097-0207
• COBISS.SI-ID: 512818201

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: avtomatsko odvajanje, paralelne simulacije, generiranje kode, končni elementi, elastičnost s končnimi deformacijami, visokozmogljivo računalništvo, brezmatrične metode