Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations

TL;DR

This paper presents a dual weighted residual-driven adaptive mesh refinement method that improves biomechanical simulations by accurately estimating errors for complex geometries and non-linear models, enhancing computational efficiency.

Contribution

It introduces a general DWR-based adaptive mesh refinement approach tailored for complex, non-linear biomechanical simulations, applicable to multi-goal scenarios.

Findings

Effective error estimation for complex geometries

Improved accuracy in non-linear biomechanical models

Numerical tests validate the method's efficiency

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.