{rfName}
A

Indexed in

APC

4 840,00 Dollars
doaj

License and Use

Icono OpenAccess

Citations

8

Altmetrics

Analysis of institutional authors

Samartin AAuthor

Share

July 25, 2020
Publications
>
Article
Green

A dynamic programming approach to the formulation and solution of finite element equations

Publicated to: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 5 (1): 37-52 - 1975-01-01 5(1), DOI: 10.1016/0045-7825(75)90034-1

Authors:

Distefano N; Samartin A
[+]

Affiliations

Laboratorio Central de Veterinaria - Author
University of California, Berkeley - Author

Abstract

A method for formulating and algorithmically solving the equations of finite element problems is presented. The method starts with a parametric partition of the domain in juxtaposed strips that permits sweeping the whole region by a sequential addition (or removal) of adjacent strips. The solution of the difference equations constructed over that grid proceeds along with the addition removal of strips in a manner resembling the transfer matrix approach, except that different rules of composition that lead to numerically stable algorithms are used for the stiffness matrices of the strips. Dynamic programming and invariant imbedding ideas underlie the construction of such rules of composition. Among other features of interest, the present methodology provides to some extent the analyst's control over the type and quantity of data to be computed. In particular, the one-sweep method presented in Section 9, with no apparent counterpart in standard methods, appears to be very efficient insofar as time and storage is concerned. The paper ends with the presentation of a numerical example. © 1975.
[+]

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-28:

  • Open Alex: 9
  • Scopus: 8
[+]

Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/33811/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 460
  • Downloads: 482
[+]

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (SAMARTIN QUIROGA, AVELINO F.).

[+]