2020 WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
Ouadie Koubaiti, Ahmed Elkhalfi, Jaouad El-mekkaoui
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Abstr. Appl. Anal. 2020: 1-14 (2020). DOI: 10.1155/2020/4879723

Abstract

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.

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Ouadie Koubaiti. Ahmed Elkhalfi. Jaouad El-mekkaoui. "WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition." Abstr. Appl. Anal. 2020 1 - 14, 2020. https://doi.org/10.1155/2020/4879723

Information

Received: 28 October 2019; Accepted: 17 March 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/4879723

Rights: Copyright © 2020 Hindawi

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