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

Distefano, Nestor y 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.

Descripción

Título: A dynamic programming approach to the formulation and solution of finite element equations
Autor/es:
  • Distefano, Nestor
  • Samartín, Avelino
Tipo de Documento: Artículo
Título de Revista/Publicación: Computer Methods in Applied Mechanics and Engineering
Fecha: Enero 1975
Volumen: 5
Materias:
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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

Más información

ID de Registro: 33811
Identificador DC: http://oa.upm.es/33811/
Identificador OAI: oai:oa.upm.es:33811
Identificador DOI: 10.1016/0045-7825(75)90034-1
URL Oficial: http://www.sciencedirect.com/science/article/pii/0045782575900341
Depositado por: Biblioteca ETSI Caminos
Depositado el: 09 Feb 2015 14:32
Ultima Modificación: 09 Feb 2015 14:32
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