Boundary Value Problem on a Weighted Graph Relevant to the Static Analysis of Truss Structures

DOI10.1137/18M1206977zbMath1468.74032OpenAlexW3169182075MaRDI QIDQ4997154

Costy Kodsi, Andrey P. Jivkov

Publication date: 28 June 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1206977

zbMATH Keywords

boundary value problemLaplaciantruss structurealgebraic system of equationslinear elastic barcalculus on graphs

Mathematics Subject Classification ID

Applications of graph theory (05C90) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thin bodies, structures (74K99) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Applications of graph theory in solid mechanics (74S50)

Related Items (1)

The qualitative theory of fourth-order differential equations on a graph

Cites Work

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• Projection matrices, generalized inverse matrices, and singular value decomposition.
• Complete characterization and synthesis of the response function of elastodynamic networks
• Nonlocal discrete \(p\)-Laplacian driven image and manifold processing
• Boundary value problems on weighted networks
• Matrix valued inverse problems on graphs with application to mass-spring-damper systems
• Diffusion and elastic equations on networks
• Resonant Damping of Flexible Structures Under Random Excitation
• The curl of a weighted network
• Boundary Value Problems on Finite Networks
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks

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