Work

Matrix‐Free Methods for Finite‐Strain Elasticity: Automatic Code Generation With No Performance Overhead

Year: 2025

Type: article

Abstract: 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: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.70166

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

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: hybrid

Estimated APC paid: $4,250

Funders: European High Performance Computing Joint Undertaking, European Commission