Mathematics of Computation

Author(s): I. Babuska; S. A. Sauter.
Journal: Math. Comp. 73 (2004), 1601-1622.
MSC (2000): Primary 65T50, 06B10, 35J55
Posted: April 27, 2004
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Abstract: Infinite periodic lattices can be used as models for analyzing and understanding various properties of mechanical truss constructions with periodic structures. For infinite lattices, the problems of connectivity and stability are nontrivial from the mathematical point of view and have not been addressed adequately in the literature. In this paper, we will present a set of algebraic algorithms, which are based on ideal theory, to solve such problems.

For the understanding of the notion ``complicated three-dimensional lattices'', it is essential to have this paper with colored figures.

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Retrieve articles in Mathematics of Computation with MSC (2000): 65T50, 06B10, 35J55

I. Babuska
Affiliation: University of Texas at Austin, ICES, 1 University Station, C0200, Austin, Texas 78712-0027
Email: babuska@ticam.utexas.edu

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