Titlebook: Swift Analysis of Civil Engineering Structures Using Graph Theory Methods; Ali Kaveh,Hossein Rahami,Iman Shojaei Book 2020 Springer Nature

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Swift Analysis of Linear and Non-linear Structures and Applications Using Reanalysis,ry optimization. These methods result in simultaneous swift analysis and optimal design of structures. A swift analysis for optimal size is performed using a modified solution for structures with changed members and the optimal analysis is performed via a modified solution for structures with change

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Mappings for Transformation of Near-Regular Domains to Regular Domains,rmation and Kronecker product rules. Initially, a mesh free formulation for rectangular domains is developed and a full decomposition of matrix equations is achieved using Kronecker product rules. The solution of a governing equation on an arbitrary domain is sought through a geometrical transformat

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Basic Concepts and Definitions of Symmetry and Regularity,f-content. In this chapter different types of graph products, method of block diagonaliztion, techniques of calculating the eigenvalues and eigenvectors, decomposition of adjacency and Laplacian, and circulant matrices are presented.

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