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An overview of geometry plus simulation modules. (English) Zbl 07441089

Slamanig, Daniel (ed.) et al., Mathematical aspects of computer and information sciences. 8th international conference, MACIS 2019, Gebze, Turkey, November 13–15, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11989, 453-456 (2020).
Summary: We give an overview of the open-source library “G+Smo”. G+Smo is a C++ library that brings together mathematical tools for geometric design and numerical simulation. It implements the relatively new paradigm of isogeometric analysis, which suggests the use of a unified framework in the design and analysis pipeline. G+Smo is an object-oriented, cross-platform, fully templated library and follows the generic programming principle, with a focus on both efficiency and ease of use. The library aims at providing access to high quality, open-source software to the community of numerical simulation and beyond.
For the entire collection see [Zbl 1483.68012].

MSC:

68-XX Computer science
65-XX Numerical analysis

Software:

Axl; G+Smo
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References:

[1] Takacs, S.: Fast multigrid solvers for conforming and non-conforming multi-patch isogeometric analysis, arXiv preprint https://arxiv.org/abs/1902 · Zbl 1506.65229
[2] Shamanskiy, A., Simeon, B.: Isogeometric simulation of thermal expansion for twin screw compressors. IOP Conf. Ser.: Mater. Sci. Eng. 425, 012031 (2018). https://doi.org/10.1088/1757-899x/425/1/012031
[3] Langer, U., Mantzaflaris, A., Moore, S.E., Toulopoulos, I.: Multipatch discontinuous galerkin isogeometric analysis. In: Jüttler, B., Simeon, B. (eds.) Isogeometric Analysis and Applications 2014. LNCSE, vol. 107, pp. 1-32. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-23315-4_1 · Zbl 1334.65194 · doi:10.1007/978-3-319-23315-4_1
[4] Juettler, B., Langer, U., Mantzaflaris, A., Moore, S., Zulehner, W.: Geometry + simulation modules: Implementing isogeometric analysis. Proc. Appl. Math. Mech. 14(1), 961-962 (2014). http://dx.doi.org/10.1002/pamm.201410461
[5] Hughes, T., Cottrell, J., Bazilevs, Y.: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194(39-41), 4135-4195 (2005). http://dx.doi.org/10.1016/j.cma.2004.10.008 · Zbl 1151.74419
[6] Giannelli, C., Juettler, B., Kleiss, S.K., Mantzaflaris, A., Simeon, B., Speh, J.: THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. Comput. Methods Appl. Mech. Eng. 299, 337-365 (2016). http://dx.doi.org/10.1016/j.cma.2015.11.002 · Zbl 1425.65026
[7] Cottrell, J., Hughes, T., Bazilevs, Y.: Isogeometric Analysis: Toward Integration of CAD and FEA. Wiley, Chichester (2009) · Zbl 1378.65009 · doi:10.1002/9780470749081
[8] Christoforou, E., Mantzaflaris, A., Mourrain, B., Wintz, J.: Axl, a geometric modeler for semi-algebraic shapes. In: Davenport, J.H., Kauers, M., Labahn, G., Urban, J. (eds.) ICMS 2018. LNCS, vol. 10931, pp. 128-136. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96418-8_16 · Zbl 1396.65028 · doi:10.1007/978-3-319-96418-8_16
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