An exact block-based reanalysis method for local modifications

G Gao, H Wang, E Li, G Li - Computers & Structures, 2015 - Elsevier
This paper presents an alternative reanalysis algorithm based on the block matrix to address
problems with local modifications. In this method, the modified stiffness can be classified as …

Reanalysis-based space mapping method, an alternative optimization way for expensive simulation-based problems

H Wang, T Fan, G Li - Structural and Multidisciplinary Optimization, 2017 - Springer
The computational cost of evaluation in the design procedure is an essential bottleneck for
simulation-based applications. To handle this problem, space mapping (SM) algorithm and …

An efficient graph‐theoretical force method for three‐dimensional finite element analysis

A Kaveh, K Koohestani - Communications in Numerical …, 2008 - Wiley Online Library
In this paper an efficient method is developed for the formation of null bases of finite element
models (FEMs) composed of tetrahedron elements, corresponding to highly sparse and …

Efficient finite element analysis using graph-theoretical force method with brick elements

A Kaveh, MJT Kian - Finite Elements in Analysis and Design, 2012 - Elsevier
In this paper an efficient method is presented for the analysis of finite element models
(FEMs) composed of brick elements. In the present method, special graphs are associated …

Efficient finite element analysis using graph-theoretical force method; rectangular plane stress and plane strain serendipity family elements

A Kaveh, MS Massoudi, MJ Massoudi - Periodica Polytechnica Civil …, 2014 - pp.bme.hu
Formation of a suitable null basis for equilibrium matrix is the main part of finite elements
analysis via force method. Foran optimal analysis, the selected null basis matrices should be …

Introduction to symmetry and regularity

A Kaveh, A Kaveh - Optimal Analysis of Structures by Concepts of …, 2013 - Springer
Symmetry is not only one of the most fundamental concepts in science and engineering, but
it is also an ideal bridging idea crossing various branches of sciences and different fields of …

Efficient finite element analysis using graph-theoretical force method; hexahedron elements

A Kaveh, MS Massoudi, MJ Massoudi - Computers & Structures, 2013 - Elsevier
Formation of a suitable null basis for equilibrium matrix is the main problem of finite
elements analysis via force method. For an optimal analysis, the selected null basis matrices …

Efficient finite element analysis using graph-theoretical force method; rectangular plane stress and plane strain Lagrange family elements

A Kaveh, MS Massoudi - Applied Mathematics and Computation, 2015 - Elsevier
Formation of a suitable null basis for equilibrium matrix is the main part of finite elements
analysis via force method. For an optimal analysis, the selected null basis matrices should …

Optimal Force Method for FEMs: Low Order Elements

A Kaveh, A Kaveh - Computational Structural Analysis and Finite Element …, 2014 - Springer
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