A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects

B Marussig, TJR Hughes - Archives of computational methods in …, 2018‏ - Springer
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

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 …

Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

D Schillinger, JA Evans, A Reali, MA Scott… - Computer Methods in …, 2013‏ - Elsevier
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

X Peng, E Atroshchenko, P Kerfriden… - Computer Methods in …, 2017‏ - Elsevier
We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods

LL Chen, H Lian, Z Liu, HB Chen… - Computer Methods in …, 2019‏ - Elsevier
The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …

Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

M Ruess, D Schillinger, AI Oezcan, E Rank - Computer Methods in Applied …, 2014‏ - Elsevier
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 …