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Computational Structural Analysis and Finite Element Methods (Hardcover, 2014 ed.)
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Computational Structural Analysis and Finite Element Methods (Hardcover, 2014 ed.)
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Graph theory gained initial prominence in science and engineering
through its strong links with matrix algebra and computer science.
Moreover, the structure of the mathematics is well suited to that
of engineering problems in analysis and design. The methods of
analysis in this book employ matrix algebra, graph theory and
meta-heuristic algorithms, which are ideally suited for modern
computational mechanics. Efficient methods are presented that lead
to highly sparse and banded structural matrices. The main features
of the book include: application of graph theory for efficient
analysis; extension of the force method to finite element analysis;
application of meta-heuristic algorithms to ordering and
decomposition (sparse matrix technology); efficient use of symmetry
and regularity in the force method; and simultaneous analysis and
design of structures.
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