Work

Anderson-accelerated fixed-point method for solving multibody problems with bilateral constraints and non-smooth frictional contacts

Year: 2025

Type: article

Abstract: We propose an Anderson-accelerated (AA) fixed-point iterative method for the efficient solution of rigid multibody problems involving large amounts of bilateral constraints and hard frictional contacts. The algorithm is rooted in a Projected Successive Over-Relaxation scheme as a way to solve the Cone Complementarity Problem that arises from the DVI formulation of mechanical non-smooth dynamics. By leveraging AA and introducing a number of modifications to its baseline idea, we are able to increase the convergence rate of a conventional fixed-point scheme up to the performance of state-of-the-art First-Order and Krylov solvers.

Source: Computer Methods in Applied Mechanics and Engineering

DOI: 10.1016/j.cma.2025.118576

Authors: Dario Fusai, Alessandro Tasora

Institution: University of Parma

Language: English

Topic: Dynamics and Control of Mechanical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,830

Funder: Università degli Studi di Parma