Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
Numerical Analysis
2025-11-13 v1 Numerical Analysis
Abstract
This chapter describes how a posteriori error estimates targeting a user-defined quantity of interest, using the Dual Weighted Residual (DWR) technique, can be easily applied for biomechanical simulations in current engineering practice. The proposed method considers a very general setting that encompasses complex geometries, model non-linearities (hyperelasticity, fluid-structure interaction) and multi-goal oriented techniques. The developments are substantiated with some numerical tests.
Keywords
Cite
@article{arxiv.2511.09333,
title = {Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations},
author = {Roland Becker and Franz Chouly and Michel Duprez and Thomas Richter and Pierre-Yves Rohan and Thomas Wick},
journal= {arXiv preprint arXiv:2511.09333},
year = {2025}
}