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Efficient finite element analysis by graph-theoretical force method; rectangular and triangular plate bending elements
Scientia Iranica. International Journal of Science and Technology
The calculation of null basis for equilibrium matrix is the main part of the finite elements analysis via force method. For an optimal analysis, the selected null basis matrices should be sparse and banded corresponding to sparse, banded and well-conditioned flexibility matrices. There are many algorithms for the formation of null basis among which the algebraic methods benefit from the generality. However, the efficiency of these methods is highly dependent on the size of problems, and theirdoi:10.1016/j.scient.2011.09.006 fatcat:bfpjcarwcvfqjbuwehf4gm35hy