Exploitation of symmetry in graphs with applications to finite and boundary elements analysis

DOI10.1002/nme.3311zbMath1242.74133OpenAlexW1921248194MaRDI QIDQ2894989

K. Koohestani

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3311

zbMATH Keywords

symmetryfinite elementsgraph theoryblock diagonalizationboundary elementsgroup representation theory

Mathematics Subject Classification ID

Applications of graph theory (05C90) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Combinatorial optimization of special graphs for nodal ordering and graph partitioning
• Group-theoretic method for forced vibration analysis of symmetric structures
• Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory.
• Improvement of the scaled corrector method for bifurcation analysis using symmetry-exploiting block-diagonalization
• Exploiting group symmetry in truss topology optimization
• Singularities and groups in bifurcation theory. Volume I
• A group-theoretic approach to computational bifurcation problems with symmetry
• Bifurcation hierarchy of symmetric structures
• Bifurcation analysis of symmetric structures using block-diagonalization
• Singularities and groups in bifurcation theory. Volume II
• A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell
• Detection of finite mechanisms in symmetric structures
• Group-theoretic exploitations of symmetry in computational solid and structural mechanics
• On the decomposition of generalized eigenproblems for the free vibration analysis of cyclically symmetric finite element models
• Block diagonalization of Laplacian matrices of symmetric graphs via group theory
• Evaluation of a new quadrilateral thin plate bending element
• Exact block diagonalization of large eigenvalue problems for structures with symmetry
• A spectral algorithm for envelope reduction of sparse matrices
• Decomposition of symmetric mass–spring vibrating systems using groups, graphs and linear algebra
• On group‐theoretic computation of natural frequencies for spring–mass dynamic systems with rectilinear motion
• An efficient graph‐theoretical force method for three‐dimensional finite element analysis
• ON THE STABILITY ANALYSIS OF SYMMETRICAL FRAMEWORKS

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