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Geometry + Simulation Modules
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Bibliographic References
[1]

Florian Buchegger, Bert Juettler, and Angelos Mantzaflaris. Adaptively refined multi-patch b-splines with enhanced smoothness. Applied Mathematics and Computation, 272, Part 1:159 – 172, 2016.

[2]

Carlotta Giannelli, Bert Juettler, Stefan K. Kleiss, Angelos Mantzaflaris, Bernd Simeon, and Jaka Speh. Thb-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 299:337 – 365, 2016.

[3]

Gaël Guennebaud, Benoît Jacob, and others. Eigen v3. http://eigen.tuxfamily.org, 2010.

[4]

T.J.R. Hughes, J.A. Cottrell, and Y. Bazilevs. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Meth. Appl. Mech. Eng, 194(39–41):4135–4195, 2005.

[5]

Bert Juettler, Ulrich Langer, Angelos Mantzaflaris, Stephen Moore, and Walter Zulehner. Geometry + simulation modules: Implementing isogeometric analysis. Proc. Appl. Math. Mech., 14(1):961–962, 2014. Special Issue: 85th Annual Meeting of the Int. Assoc. of Appl. Math. and Mech. (GAMM), Erlangen 2014.

[6]

Rainer Kraft. Adaptive and linearly independent multilevel B-splines. Univ., Sonderforschungsbereich 404, 1997.

[7]

A. Kuzmin, M. Luisier, and O. Schenk. Fast methods for computing selected elements of the greens function in massively parallel nanoelectronic device simulations. In F. Wolf, B. Mohr, and D. Mey, editors, Euro-Par 2013 Parallel Processing, volume 8097 of Lecture Notes in Computer Science, pages 533–544. Springer Berlin Heidelberg, 2013.

[8]

Ulrich Langer, Angelos Mantzaflaris, Stephen Moore, and Ioannis Toulopoulos. Mesh grading in isogeometric analysis. Computers and Mathematics with Applications, 70(7):1685 – 1700, 2015. High-Order Finite Element and Isogeometric Methods.

[9]

Ulrich Langer, Angelos Mantzaflaris, Stephen Moore, and Ioannis Toulopoulos. Multipatch discontinuous Galerkin isogeometric analysis. In Isogeometric Analysis and Applications, Lecture Notes in Computational Science and Engineering. Linz, 2015.

[10]

Tom Lyche and Knut Morken. Spline methods draft. Department of Informatics, University of Oslo.

[11]

Angelos Mantzaflaris and Bert Juettler. Integration by interpolation and look-up for Galerkin-based isogeometric analysis. Comp. Methods Appl. Mech. Engrg., 284:373 – 400, 2015. Isogeometric Analysis Special Issue.

[12]

Angelos Mantzaflaris, Bert Juettler, Boris Khoromskij, and Ulrich Langer. Matrix generation in isogeometric analysis by low rank tensor approximation. In Jean-Daniel Boissonnat, Albert Cohen, Olivier Gibaru, Christian Gout, Tom Lyche, Marie-Laurence Mazure, and Larry L. Schumaker, editors, Curves and Surfaces, volume 9213 of LNCS, pages 321–340. Springer, 2015.

[13]

Les Piegl and Wayne Tiller. The NURBS book. Springer, 1997.