Open AccessSolving 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.