Geometry + Simulation Modules: Implementing Isogeometric Analysis
Résumé
Isogeometric analysis (IGA) is a recently developed simulationmethod that allows integration of finite element analysis (FEA)
with conventional computer-aided design (CAD) software [1,3]. This goal requires new software design strategies, in order to
enable the use of CAD data in the analysis pipeline. To this end, we have initiated G+SMO (Geometry+SimulationModules),
an open-source, C++ library for IGA. G+SMO is an object-oriented, template library, that implements a generic concept for
IGA, based on abstract classes for discretization basis, geometry map, assembler, solver and so on. It makes use of object
polymorphism and inheritance techniques to provide a common framework for IGA, for a variety of different basis-types
which are available. A highlight of our design is the dimension independent code, realized by means of template metaprogramming.
Some of the features already available include computing with B-spline, Bernstein, NURBS bases, as well as
hierarchical and truncated hierarchical bases of arbitrary polynomial order. These basis functions are used in continuous and
discontinuous Galerkin approximation of PDEs over (non-)conforming multi-patch computational (physical) domains.
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