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

Published 12 Nov 2025 in math.NA | (2511.09333v1)

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.

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