scholarly journals Functional data approximation on bounded domains using polygonal finite elements

2018 ◽  
Vol 63 ◽  
pp. 149-163 ◽  
Author(s):  
Juan Cao ◽  
Yanyang Xiao ◽  
Zhonggui Chen ◽  
Wenping Wang ◽  
Chandrajit Bajaj
Keyword(s):  
Finite Elements ◽  
Functional Data ◽  
Bounded Domains ◽  
Data Approximation ◽  
Polygonal Finite Elements

Polygonal finite elements for incompressible fluid flow

2013 ◽  
Vol 74 (2) ◽  
pp. 134-151 ◽  
Author(s):  
Cameron Talischi ◽  
Anderson Pereira ◽  
Glaucio H. Paulino ◽  
Ivan F.M. Menezes ◽  
Márcio S. Carvalho
Keyword(s):  
Fluid Flow ◽  
Finite Elements ◽  
Incompressible Fluid ◽  
Incompressible Fluid Flow ◽  
Polygonal Finite Elements

scholarly journals A micromechanically motivated model for ferroelectrics combined with polygonal finite elements

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 299-300
Author(s):  
Jayabal Kaliappan ◽  
Andreas Menzel ◽  
Arockiarajan Arunachalakasi ◽  
Sivakumar M Srinivasan
Keyword(s):  
Finite Elements ◽  
Polygonal Finite Elements

scholarly journals Numerical modelling of rock materials with polygonal finite elements

2017 ◽  
Vol 50 (3) ◽  
pp. 216-219 ◽  
Author(s):  
Timo Saksala
Keyword(s):  
Numerical Modeling ◽  
Finite Elements ◽  
Present Method ◽  
Short Range ◽  
Grain Texture ◽  
Voronoi Cells ◽  
Three Point Bending ◽  
Polygonal Finite Elements ◽  
Polygonal Elements ◽  
Rock Microstructure

This article presents some preliminary results on numerical modeling of rock ma-terials with polygonal finite elements. A method to describe the rock microstructure based onVoronoi diagrams, representing the rock grain texture, is sketched. In this method, the mineralsconstituting the rock are represented as Voronoi cells which themselves are polygonal finite ele-ments. A three-point bending problem under plane stress linear elasticity condition is solved inorder to compare the performance of polygonal elements to ordinary finite elements. Moreover,it is demonstrated by solving the stress state in uni-axial compression that the heterogeneitydescribed with the present method results in short-range tensile stresses which could initiatemode-I cracks.

Polygonal finite elements for topology optimization: A unifying paradigm

2009 ◽  
Vol 82 (6) ◽  
pp. 671-698 ◽  
Author(s):  
Cameron Talischi ◽  
Glaucio H. Paulino ◽  
Anderson Pereira ◽  
Ivan F. M. Menezes
Keyword(s):  
Topology Optimization ◽  
Finite Elements ◽  
Polygonal Finite Elements

scholarly journals Polygonal finite elements for finite elasticity

2014 ◽  
Vol 101 (4) ◽  
pp. 305-328 ◽  
Author(s):  
Heng Chi ◽  
Cameron Talischi ◽  
Oscar Lopez-Pamies ◽  
Glaucio H.Paulino
Keyword(s):  
Finite Elements ◽  
Finite Elasticity ◽  
Polygonal Finite Elements
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