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

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  • Ouadie Koubaiti
  • Ahmed Elkhalfi
  • Jaouad El-mekkaoui

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 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.

Suggested Citation

  • Ouadie Koubaiti & Ahmed Elkhalfi & Jaouad El-mekkaoui, 2020. "WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with Boundary Condition," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-14, May.
    • Handle: RePEc:hin:jnlaaa:4879723
    DOI: 10.1155/2020/4879723
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