Potential theory

París Carballo, Federico; Martín Navarro, Antonio y Alarcón Álvarez, Enrique (1981). Potential theory. En: "Progress in boundary element methods". Pentech Press, Londres, pp. 45-83. ISBN 0-7273-1611-7.


Título: Potential theory
  • París Carballo, Federico
  • Martín Navarro, Antonio
  • Alarcón Álvarez, Enrique
  • Brebbia, Carlos Alberto
Tipo de Documento: Sección de Libro
Título del Libro: Progress in boundary element methods
Fecha: 1981
ISBN: 0-7273-1611-7
Volumen: 2
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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In this chapter we will introduce the reader to the techniques of the Boundary Element Method applied to simple Laplacian problems. Most classical applications refer to electrostatic and magnetic fields, but the Laplacian operator also governs problems such as Saint-Venant torsion, irrotational flow, fluid flow through porous media and the added fluid mass in fluidstructure interaction problems. This short list, to which it would be possible to add many other physical problems governed by the same equation, is an indication of the importance of the numerical treatment of the Laplacian operator. Potential theory has pioneered the use of BEM since the papers of Jaswon and Hess. An interesting introduction to the topic is given by Cruse. In the last five years a renaissance of integral methods has been detected. This can be followed in the books by Jaswon and Symm and by Brebbia or Brebbia and Walker.In this chapter we shall maintain an elementary level and follow a classical scheme in order to make the content accessible to the reader who has just started to study the technique. The whole emphasis has been put on the socalled "direct" method because it is the one which appears to offer more advantages. In this section we recall the classical concepts of potential theory and establish the basic equations of the method. Later on we discuss the discretization philosophy, the implementation of different kinds of elements and the advantages of substructuring which is unavoidable when dealing with heterogeneous materials.

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ID de Registro: 23413
Identificador DC: http://oa.upm.es/23413/
Identificador OAI: oai:oa.upm.es:23413
Depositado por: Biblioteca ETSI Industriales
Depositado el: 08 Abr 2014 06:26
Ultima Modificación: 22 Sep 2014 11:36
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