ICES REPORT 1205 January 2012 An Isogeometric Design-through-analysis Methodology based on Adaptive Hierarchical Refinement of NURBS , Immersed Boundary Methods , and T-spline CAD Surfaces

@inproceedings{SchillingerICESR1,
  title={ICES REPORT 1205 January 2012 An Isogeometric Design-through-analysis Methodology based on Adaptive Hierarchical Refinement of NURBS , Immersed Boundary Methods , and T-spline CAD Surfaces},
  author={Dominik Schillinger and Luca Ded{\`e} and Michael A. Scott and John A. Evans and Michael J. Borden and Ernst Rank and Thomas J. R. Hughes}
}
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis. We use the principle of B-spline subdivision to derive a local refinement procedure, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions. We test hierarchical refinement of NURBS for some elementary fluid and structural analysis problems in two and three dimensions and attain… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 108 references

Foundations of Multidimensional and Metric Data Structures

H. Samet
Morgan Kaufmann Publishers: San Francisco, • 2006
View 4 Excerpts
Highly Influenced

An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry

D Schillinger, E. Rank
Computer Methods in Applied Mechanics and Engineering, • 2011
View 4 Excerpts
Highly Influenced

Isogeometric Analysis: Toward Integration of CAD and FEA

JA Cottrell, TJR Hughes, Y. Bazilevs
2009
View 9 Excerpts
Highly Influenced

The Finite Cell Method for Three-Dimensional Problems of Solid Mechanics

A Düster, J Parvizian, Z Yang, E. Rank
Computer Methods in Applied Mechanics and Engineering, • 2008
View 7 Excerpts
Highly Influenced

Finite Cell Method: h- and p- extension for embedded domain methods in solid mechanics

J Parvizian, A Düster, E. Rank
Computational Mechanics, • 2007
View 6 Excerpts
Highly Influenced

Finite Element Methods with B-Splines

K. Höllig
Society for Industrial and Applied Mathematics: Philadelphia, • 2003
View 8 Excerpts
Highly Influenced

Surface Fitting with Hierarchical Splines

ACM Trans. Graph. • 1995
View 13 Excerpts
Highly Influenced

Hierarchical B-spline refinement

View 14 Excerpts
Highly Influenced

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