Boundary value problem on a weighted graph relevant to the static analysis of truss structures

Costy Kodsi; Andrey Jivkov

doi:10.1137/18M1206977

Boundary value problem on a weighted graph relevant to the static analysis of truss structures

Research output: Contribution to journal › Article › peer-review

Abstract

The boundary value problem on a weighted graph relevant to the static analysis of truss structures with linear elastic bars is presented along with strategies for assembling the corresponding algebraic system of equations.

Original language	English
Pages (from-to)	1190-1201
Number of pages	12
Journal	SIAM Journal of Applied Mathematics
Volume	81
Issue number	3
DOIs	https://doi.org/10.1137/18M1206977
Publication status	Published - 17 Jun 2021

Keywords

calculus on graphs
truss structures
boundary value problem
Laplacian

Research Beacons, Institutes and Platforms

Manchester Energy
Advanced materials

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1137/18M1206977

Cite this

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title = "Boundary value problem on a weighted graph relevant to the static analysis of truss structures",

abstract = "The boundary value problem on a weighted graph relevant to the static analysis of truss structures with linear elastic bars is presented along with strategies for assembling the corresponding algebraic system of equations.",

keywords = "calculus on graphs, truss structures, boundary value problem, Laplacian",

author = "Costy Kodsi and Andrey Jivkov",

note = "Funding Information: \ast Received by the editors August 13, 2018; accepted for publication (in revised form) January 6, 2021; published electronically June 17, 2021. https://doi.org/10.1137/18M1206977 Funding: This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) through grants EP/K016946/1 and EP/N026136/1. Financial support was also received for the first author from the European Union's Horizon 2020 research and innovation programme under grant agreement 757360. †School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester M13 9PL, UK (andrey.jivkov@manchester.ac.uk). ‡Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark (coko@dtu.dk). Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.",

year = "2021",

month = jun,

day = "17",

doi = "10.1137/18M1206977",

language = "English",

volume = "81",

pages = "1190--1201",

journal = "SIAM Journal of Applied Mathematics",

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publisher = "Society for Industrial and Applied Mathematics",

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AU - Kodsi, Costy

AU - Jivkov, Andrey

N1 - Funding Information: \ast Received by the editors August 13, 2018; accepted for publication (in revised form) January 6, 2021; published electronically June 17, 2021. https://doi.org/10.1137/18M1206977 Funding: This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) through grants EP/K016946/1 and EP/N026136/1. Financial support was also received for the first author from the European Union's Horizon 2020 research and innovation programme under grant agreement 757360. †School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester M13 9PL, UK (andrey.jivkov@manchester.ac.uk). ‡Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark (coko@dtu.dk). Publisher Copyright: © 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.

PY - 2021/6/17

Y1 - 2021/6/17

N2 - The boundary value problem on a weighted graph relevant to the static analysis of truss structures with linear elastic bars is presented along with strategies for assembling the corresponding algebraic system of equations.

AB - The boundary value problem on a weighted graph relevant to the static analysis of truss structures with linear elastic bars is presented along with strategies for assembling the corresponding algebraic system of equations.

KW - calculus on graphs

KW - truss structures

KW - boundary value problem

KW - Laplacian

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M3 - Article

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EP - 1201

JO - SIAM Journal of Applied Mathematics

JF - SIAM Journal of Applied Mathematics

IS - 3

ER -

Boundary value problem on a weighted graph relevant to the static analysis of truss structures

Abstract

Keywords

Research Beacons, Institutes and Platforms

UN SDGs

Access to Document

Other files and links

Fingerprint

Geometric Mechanics of Solids: new analysis of modern engineering materials - GEMS

Graphene-based membranes

A geometric formulation of linear elasticity based on Discrete Exterior Calculus

Parallelized discrete exterior calculus for three-dimensional elliptic problems

On the geometric description of non linear elasticity via an energy approach using barycentric coordinates

Cite this

Boundary value problem on a weighted graph relevant to the static analysis of truss structures

Abstract

Keywords

Research Beacons, Institutes and Platforms

UN SDGs

Access to Document

Other files and links

Fingerprint

Projects

Geometric Mechanics of Solids: new analysis of modern engineering materials - GEMS

Graphene-based membranes

Research output

A geometric formulation of linear elasticity based on Discrete Exterior Calculus

Parallelized discrete exterior calculus for three-dimensional elliptic problems

On the geometric description of non linear elasticity via an energy approach using barycentric coordinates

Cite this