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 |
|---|---|
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 81 |
| Issue number | 3 |
| Pages (from-to) | 1190-1201 |
| ISSN | 0036-1399 |
| DOIs | |
| Publication status | Published - 2021 |
Bibliographical 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 ([email protected]). ‡Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark ([email protected]).
Publisher Copyright:
© 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.
Keywords
- Boundary value problem
- Calculus on graphs
- Laplacian
- Truss structures