Generalization of the Kantorovich Method of Dimensional Reduction
Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.261-270, Sept. 2003
Department of Mechanical Engineering
A natural generalization of the mid-element representation is a skeletal representation. We propose here a generalization of the Kantorovich method that exploits the unique topologic and geometric properties of the skeletal representation. The proposed method rests on a quasi-disjoint Voronoi decomposition of a domain induced by its skeletal representation. The generality and limitations of the proposed method are discussed using the Poissonís equation as a vehicle.
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