A computational framework for topological operations

Authors:
Michael Spevak;René Heinzl;Philipp Schwaha;Siegfried Selberherr
Affiliations:
Institute for Microelectronics, TU Wien, Wien, Austria;Institute for Microelectronics, TU Wien, Wien, Austria;Institute for Microelectronics, TU Wien, Wien, Austria;Institute for Microelectronics, TU Wien, Wien, Austria
Venue:
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Year:
2006

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Abstract

We present a complete topological framework that is able to provide incidence traversal operations for various topological elements. This enables one to perform the necessary topological operations for several discretization schemes. A combination of incidence information combined with an archetype concept enables one to optimize traversal operations of inter-dimensional objects without explicitly storing them. Access to topological structures is provided using a generalized iterator concept.