The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models

By Dominik Schillinger, Martin Ruess. 2015

348 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/f6c1d2a6d55bfe585b4b7c56209213ad1dbc6d33

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Dominik Schillinger
2. Martin Ruess
3. Yujie Guo
4. Ming-Chen Hsu
5. Clemens V. Verhoosel
6. V. Rietbergen
7. van Gj GertJan Zwieten
8. D. Borst

In Computer Graphics and Computer-Aided Design

1. Yujie Guo
2. Clemens V. Verhoosel
3. V. Rietbergen
4. van Gj GertJan Zwieten
5. D. Borst
6. Dominik Schillinger
7. Martin Ruess
8. Ming-Chen Hsu

Citations in the corpus

• Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone (2015, methodology): “Although we obtained accurate results using iterative solvers, as also indicated in [13], the development of efficient iterative solvers and pre-conditioners should be an important aspect of future research in the context of finite cell methods.”
• The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements (2016, methodology): “With increasing number of sub-cells, the integration accuracy in each intersected element is increased [68].”
• A parameter-free variational coupling approach for trimmed isogeometric thin shells (2017, methodology): “We use the recursive quadrature approach applied in the finite cell method [62] to evaluate the integrals in (16) over intersected elements.”