Convergence and accuracy of displacement based finite element formulations over arbitrary polygons: Laplace interpolants, strain smoothing and scaled boundary polygon formulation-Reference-Cited by-同舟云学术

Convergence and accuracy of displacement based finite element formulations over arbitrary polygons: Laplace interpolants, strain smoothing and scaled boundary polygon formulation

Published:2014-08 Issue: Volume:85 Page:101-122
ISSN:0168-874X
Container-title:Finite Elements in Analysis and Design
language:en
Short-container-title:Finite Elements in Analysis and Design

Author:

Natarajan Sundararajan^ORCID,Ooi Ean Tat,Chiong Irene,Song Chongmin

Publisher

Elsevier BV

Subject

Applied Mathematics,Computer Graphics and Computer-Aided Design,General Engineering,Analysis

Reference65 articles.

1. T. Fries, H. Matthies, Classification and overview of meshfree methods, Technical Report D38106, Institute of Scientific Computing, Technical University, Braunschweig, Hans-Sommer-Strasse, March 2003.

2. hp-clouds—an hp meshless method;Duarte;Numer. Methods Partial Differ. Equ.,1996

3. The extended/generalized finite element method;Fries;Int. J. Numer. Methods Eng.,2010

4. Smoothed Finite Element Methods;Liu,2010

5. On the performance of strain smoothing for quadratic and enriched finite element aapproximation (XFEM/GFEM/PUFEM);Bordas;Int. J. Numer. Methods Eng.,2011

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