A new boundary condition solved with B.I.E.M.

Da Riva de la Cavada, Ignacio, Ahedo Galilea, Eduardo ORCID: https://orcid.org/0000-0003-2148-4553, Alarcón Álvarez, Enrique ORCID: https://orcid.org/0000-0001-6538-7814 and Anza Aguirrezabala, Juan José (1982). A new boundary condition solved with B.I.E.M.. In: "4th International Conference on Boundary Element Methods", Sept. 1982, Southampton. ISBN 0387118195.


Title: A new boundary condition solved with B.I.E.M.
Item Type: Presentation at Congress or Conference (Article)
Event Title: 4th International Conference on Boundary Element Methods
Event Dates: Sept. 1982
Event Location: Southampton
Title of Book: Boundary element methods in engineering . proceedings of the fourth international seminar
Date: 1982
ISBN: 0387118195
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Among the classical operators of mathematical physics the Laplacian plays an important role due to the number of different situations that can be modelled by it. Because of this a great effort has been made by mathematicians as well as by engineers to master its properties till the point that nearly everything has been said about them from a qualitative viewpoint. Quantitative results have also been obtained through the use of the new numerical techniques sustained by the computer. Finite element methods and boundary techniques have been successfully applied to engineering problems as can be seen in the technical literature (for instance [ l ] , [2], [3] . Boundary techniques are especially advantageous in those cases in which the main interest is concentrated on what is happening at the boundary. This situation is very usual in potential problems due to the properties of harmonic functions. In this paper we intend to show how a boundary condition different from the classical, but physically sound, is introduced without any violence in the discretization frame of the Boundary Integral Equation Method. The idea will be developed in the context of heat conduction in axisymmetric problems but it is hoped that its extension to other situations is straightforward. After the presentation of the method several examples will show the capabilities of modelling a physical problem.

More information

Item ID: 13778
DC Identifier: https://oa.upm.es/13778/
OAI Identifier: oai:oa.upm.es:13778
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 25 Oct 2012 11:43
Last Modified: 03 Mar 2023 09:11
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