The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
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 …
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
Stability and conditioning of immersed finite element methods: analysis and remedies
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …
methods over the past decade. The main focus is the analysis and the treatment of the …
On utilizing topology optimization to design support structure to prevent residual stress induced build failure in laser powder bed metal additive manufacturing
Metal additive manufacturing (AM) as an emerging manufacturing technique has been
gradually accepted to manufacture end-use components. However, one of the most critical …
gradually accepted to manufacture end-use components. However, one of the most critical …
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
Part-scale build orientation optimization for minimizing residual stress and support volume for metal additive manufacturing: Theory and experimental validation
Laser powder bed metal additive manufacturing (AM) has been widely accepted by the
industry to manufacture end-use components with complex geometry to achieve desirable …
industry to manufacture end-use components with complex geometry to achieve desirable …
Geometric modeling, isogeometric analysis and the finite cell method
The advent of isogeometric analysis (IGA) using the same basis functions for design and
analysis constitutes a milestone in the unification of geometric modeling and numerical …
analysis constitutes a milestone in the unification of geometric modeling and numerical …
Weakly enforced essential boundary conditions for NURBS‐embedded and trimmed NURBS geometries on the basis of the finite cell method
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 …
methods. Nitsche's idea has proven to be a reliable concept to satisfy weakly boundary and …
Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
Thin shell structures are widely used in the aerospace, automotive and mechanical
engineering industries. They are ideal candidates for the isogeometric analysis paradigm …
engineering industries. They are ideal candidates for the isogeometric analysis paradigm …
Condition number analysis and preconditioning of the finite cell method
F de Prenter, CV Verhoosel, GJ van Zwieten… - Computer Methods in …, 2017 - Elsevier
Abstract The (Isogeometric) Finite Cell Method–in which a domain is immersed in a
structured background mesh–suffers from conditioning problems when cells with small …
structured background mesh–suffers from conditioning problems when cells with small …
Smart octrees: Accurately integrating discontinuous functions in 3D
L Kudela, N Zander, S Kollmannsberger… - Computer Methods in …, 2016 - Elsevier
This paper presents an efficient and accurate method for the integration of discontinuous
functions on a background mesh in three dimensions. This task is important in computational …
functions on a background mesh in three dimensions. This task is important in computational …