Formation of graph models for regular finite element meshes. (Received in the final form September 21, 2009)
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2009, Vol 16, Issue 2
Abstract
Graph theory has many applications in structural mechanics and there are also numerous topological transformations which make the related problems simpler. The skeleton graph and natural associate graph of finite element models are among such transformations. These transformations can efficiently be used for nodal and element ordering of regular finite element models. Natural associate graph and its mesh basis play a key role in optimal finite element analysis by combinatorial force method. In this paper, an efficient method is presented for generation of skeleton graph, natural associate graph as well as their mesh bases for finite elements models, using graph and digraph products.
Authors and Affiliations
Ali Kaveh, Kambiz Koohestani
Keywords
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