WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition

WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition

The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the us...

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Main Authors: Ouadie Koubaiti, Ahmed Elkhalfi, Jaouad El-mekkaoui
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/4879723
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spelling doaj-44ddc02758974011aa5fa9bf9d5ec5092020-11-25T02:10:05ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/48797234879723WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary ConditionOuadie Koubaiti0Ahmed Elkhalfi1Jaouad El-mekkaoui2Department of Mechanical Engineering, Faculty of Sciences and Technics, Fez, MoroccoDepartment of Mechanical Engineering, Faculty of Sciences and Technics, Fez, MoroccoFaculty Polydisciplinary of Beni-Mellal, MoroccoThe objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the usual weak mixed formulation, we give existence and uniqueness results for weak solution. Then, we illustrate the performance of Ritz–Galerkin schemes for a model problem and applications in linear elasticity. Finally, we discuss several implementation aspects. The numerical tests confirm that, due to the new integration routines, the weighted B-spline solvers have become considerably more efficient.http://dx.doi.org/10.1155/2020/4879723
collection DOAJ
language English
format Article
sources DOAJ
author Ouadie Koubaiti
Ahmed Elkhalfi
Jaouad El-mekkaoui
spellingShingle Ouadie Koubaiti
Ahmed Elkhalfi
Jaouad El-mekkaoui
WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
Abstract and Applied Analysis
author_facet Ouadie Koubaiti
Ahmed Elkhalfi
Jaouad El-mekkaoui
author_sort Ouadie Koubaiti
title WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
title_short WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
title_full WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
title_fullStr WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
title_full_unstemmed WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
title_sort web-spline finite elements for the approximation of navier-lamé system with ca,b boundary condition
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2020-01-01
description The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the usual weak mixed formulation, we give existence and uniqueness results for weak solution. Then, we illustrate the performance of Ritz–Galerkin schemes for a model problem and applications in linear elasticity. Finally, we discuss several implementation aspects. The numerical tests confirm that, due to the new integration routines, the weighted B-spline solvers have become considerably more efficient.
url http://dx.doi.org/10.1155/2020/4879723
work_keys_str_mv AT ouadiekoubaiti websplinefiniteelementsfortheapproximationofnavierlamesystemwithcabboundarycondition
AT ahmedelkhalfi websplinefiniteelementsfortheapproximationofnavierlamesystemwithcabboundarycondition
AT jaouadelmekkaoui websplinefiniteelementsfortheapproximationofnavierlamesystemwithcabboundarycondition
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