Well-conditioning global–local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics

Using the locally-enriched strategy to enrich a small/local part of the problem by generalized/extended finite element method (G/XFEM) leads to non-optimal convergence rate and ill-conditioning system of equations due to presence of blending elements. The local enrichment can be chosen from polynomi...

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Bibliographic Details
Published in:	Computational mechanics Vol. 58; no. 5; pp. 819 - 831
Main Authors:	Malekan, Mohammad, Barros, Felicio Bruzzi
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016 Springer Springer Nature B.V
Subjects:	Analysis Blending Classical and Continuum Physics Computational Science and Engineering Convergence Elastic analysis Engineering Enrichment Finite element analysis Finite element method Fracture mechanics Ill-conditioned problems (mathematics) Linear elastic fracture mechanics Mathematical analysis Methods Original Paper Polynomials Strain energy Theoretical and Applied Mechanics Condition number Global–local Partition of unity Stable generalized/eXtended FEM Blending element
ISSN:	0178-7675, 1432-0924
Online Access:	Get full text
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