Solving the Problem of Constraints Due to Dirichlet Boundary Conditions in the Context of the Mini Element Method | Zendy

Ouadie Koubaiti | Zendy; Ahmed Elkhalfi | Zendy; Jaouad El-Mekkaoui | Zendy; Nikos E. Mastorakis | Zendy; Jaouad El | Zendy

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Solving the Problem of Constraints Due to Dirichlet Boundary Conditions in the Context of the Mini Element Method

Author(s) -

Ouadie Koubaiti,

Ahmed Elkhalfi,

Jaouad El-Mekkaoui,

Nikos E. Mastorakis,

Jaouad El

Publication year - 2020

Publication title -

international journal of mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.16

H-Index - 20

ISSN - 1998-4448

DOI - 10.46300/9104.2020.14.2

Subject(s) - lagrange multiplier , dirichlet boundary condition , finite element method , boundary value problem , linear elasticity , mathematics , boundary knot method , mathematical analysis , boundary element method , dirichlet distribution , mixed boundary condition , linear system , context (archaeology) , mathematical optimization , structural engineering , engineering , paleontology , biology

In this work, we propose a new boundary condition called CA;B to remedy the problems of constraints due to the Dirichlet boundary conditions. We consider the 2D-linear elasticity equation of Navier-Lam´e with the condition CA;B. The latter allows to have a total insertion of the essential boundary condition in the linear system obtained without going through a numerical method like the lagrange multiplier method, this resulted in a non-extended linear system easy to reverse. We have developed the mixed finite element method using the mini element space (P1 + bubble, P1). Finally we have shown the efficiency and the feasibility of the limited condition CA;B.

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