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

Distefano, Nestor and Samartín, Avelino (1975). A dynamic programming approach to the formulation and solution of finite element equations. "Computer Methods in Applied Mechanics and Engineering", v. 5 (n. 1); pp. 37-52. ISSN 0045-7825. https://doi.org/10.1016/0045-7825(75)90034-1.

Description

Title: A dynamic programming approach to the formulation and solution of finite element equations
Author/s:
  • Distefano, Nestor
  • Samartín, Avelino
Item Type: Article
Título de Revista/Publicación: Computer Methods in Applied Mechanics and Engineering
Date: January 1975
ISSN: 0045-7825
Volume: 5
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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

More information

Item ID: 33811
DC Identifier: http://oa.upm.es/33811/
OAI Identifier: oai:oa.upm.es:33811
DOI: 10.1016/0045-7825(75)90034-1
Official URL: http://www.sciencedirect.com/science/article/pii/0045782575900341
Deposited by: Biblioteca ETSI Caminos
Deposited on: 09 Feb 2015 14:32
Last Modified: 09 Feb 2015 14:32
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