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

2025/05/21 by Michał Wichrowski, Mohsen Rezaee‐Hajidehi, Wichrowski, Michał +7 · 1 citation
Engineering · Physics and Astronomy · #65M60 #74B20 #74S05 #FOS: Mathematics #Metal Forming Simulation Techniques #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2505.15535

openalex publication_date 2025/05/21 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

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.

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• Multigrid p-Robustness at Jacobi Speeds: Efficient Matrix-Free Implementation of Local p-Multigrid Solvers

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