Seminars

Date : mardi 21 mai 2013 à 10h30
INRIA Sophia Antipolis salle Byron blanc

Titre :  Geometry and Simulation Modules, by Angelos Mantzaflaris

Abstract:
In this talk we present Gismo, a new C++ library for isogeometric analysis. Gismo is an object oriented, pure template library, that implements a generic concept for IGA, based on abstract classes for basis, geometry, assembler, solver and so on. It makes use of object polymorphism and inheritance techniques in order to provide a common framework for IGA, for a variety of different basis-types which are available.  Emphasis  is given to efficiency but also ease of use. Regarding architecture, the library is organized into tree levels: The isogeometry level, which contains the abstract IGA, geometry and simulation concepts, the implemetation level where a variety of different realizations of IGA bases, geometries, solvers is done, and the I/O level, that consists of utilities related to file input and output, visualization and plugins for software like Axel. Some of the features already available include computing with B-spline, Bernstein, NURBS bases, as well as generic classes for rational (of any non-rational "source" basis), tensor product bases (of arbitrary domain dimension).  Also, isogeometric simulation algorithms with the Galerkin approach, notably over conforming (interface-matching) multipatch physical domains. The latest additions are a multigrid solver for tensor B-spline discretizations as well as a boundary element solver using collocation. The ongoing development includes support for important bases families such as (truncated) hierarchical B-spline bases and Box splines. From the simulation side, support for isogeometric Discontinuous Galerkin methods is planned. In addition, important geometric modeling utilities are currenty under development, that will facilitate simulations, for example solid representation data structures and segmentation methods, trimmed surfaces, meshes, feature detection methods, and so on.