The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

Finite element modeling is an engineering tool for structural analysis that has been used for
many years to assess the relationship between load transfer and bone morphology and to …

This article presents a generalization of the recently proposed finite cell method to three-
dimensional problems of linear elasticity. The finite cell method combines ideas from …

Enforcing essential boundary conditions plays a central role in immersed boundary
methods. Nitsche's idea has proven to be a reliable concept to satisfy weakly boundary and …

Abstract The Finite Cell Method (FCM) is an embedded domain method, which combines the
fictitious domain approach with high-order finite elements, adaptive integration, and weak …

Background: The mechanical response of patient-specific bone to various load conditions is
of major clinical importance in orthopedics. Herein we enhance the methods presented in …

Standard methods for predicting bone's mechanical response from quantitative computer
tomography (qCT) scans are mainly based on classical h-version finite element methods …

Generating finite element discretizations with direct interface parameterizations constitutes a
considerable computational expense in case of complex interface geometries. The paper at …

Patient-specific finite element (PSFE) models based on quantitative computer tomography
(qCT) are generally used to “predict” the biomechanical response of human bones with the …

The finite cell method (FCM) combines the fictitious domain approach with the p‐version of
the finite element method and adaptive integration. For problems of linear elasticity, it offers …