| 1. | Wichrowski M.♦, Rezaee Hajidehi M., Korelc J.♦, Kronbichler M.♦, Stupkiewicz S., Matrix-free methods for finite-strain elasticity: Automatic code generation with no performance overhead, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, ISSN: 0029-5981, DOI: 10.1002/nme.70166, Vol.126, pp.e70166-1-20, 2025 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. Keywords:automatic differentiation, code generation, finite elements, finite-strain elasticity, high-performance computing, matrix-free Affiliations:| Wichrowski M. | - | other affiliation | | Rezaee Hajidehi M. | - | IPPT PAN | | Korelc J. | - | University of Ljubljana (SI) | | Kronbichler M. | - | Technische Universität München (DE) | | Stupkiewicz S. | - | IPPT PAN |
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| 2. | Bangerth W.♦, Heister T.♦, Heltai L.♦, Kanschat G.♦, Kronbichler M.♦, Maier M.♦, Turcksin B.♦, Young T.D., The deal.II Library, Version 8.2, Archive of Numerical Software, ISSN: 2197-8263, Vol.3, No.100, pp.1-8, 2015 |  |
