Pointwise Force Equilibrium Preserving Spectral Element Method for Structural Problems

K. Olesen, B. Gervang, J. N. Reddy, M. Gerritsma

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

In structural mechanics the geometry is a crucial factor in the derivation of the governing force equilibrium equations, which describe the balance of forces in a discrete setting. In conventional discretization techniques the quantities are approximated through nodal expansions, which lead to global force equilibrium, but not local. This paper shows that by considering the geometry of the problem the equilibrium of forces can be satisfied globally as well as locally.

Original languageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2016 - Selected Papers from the ICOSAHOM Conference
EditorsM.L. Bittencourt, N.A. Dumont, J.S. Hesthaven
PublisherSpringer
Pages571-584
Number of pages14
Volume119
ISBN (Print)9783319658698
DOIs
Publication statusPublished - 2017
EventICOSAHOM 2016 - Rio de Janeiro, Brazil
Duration: 27 Jun 20161 Jul 2016
Conference number: 11

Publication series

NameLecture Notes in Computational Science and Engineering
Volume119
ISSN (Print)14397358

Conference

ConferenceICOSAHOM 2016
Abbreviated titleICOSAHOM 2016
CountryBrazil
CityRio de Janeiro
Period27/06/161/07/16

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