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Main Authors: Becker, Roland, Chouly, Franz, Duprez, Michel, Richter, Thomas, Rohan, Pierre-Yves, Wick, Thomas
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.09333
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author Becker, Roland
Chouly, Franz
Duprez, Michel
Richter, Thomas
Rohan, Pierre-Yves
Wick, Thomas
author_facet Becker, Roland
Chouly, Franz
Duprez, Michel
Richter, Thomas
Rohan, Pierre-Yves
Wick, Thomas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09333
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
Becker, Roland
Chouly, Franz
Duprez, Michel
Richter, Thomas
Rohan, Pierre-Yves
Wick, Thomas
Numerical Analysis
65N30, 92C10, 74B20
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.
title Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
topic Numerical Analysis
65N30, 92C10, 74B20
url https://arxiv.org/abs/2511.09333