Approximation and numerical realization of an optimal design welding problem

作者：Chakib A; Nachaoui A; Nachaoui M^*

来源：Numerical Methods for Partial Differential Equations, 2013, 29(5): 1563-1586.

DOI：10.1002/num.21767

• welding
• free boundary
• shape optimization
• noncoercive operator
• finite element

In this article, we deal with the approximation of an optimal shape design approach for a free boundary problem modeling a welding process. We consider discretization of this problem based on linear finite elements. We prove the existence of discrete optimal solutions. This allows us to show the convergence result of a sequence of discrete solutions to the continuous one. Finally, methods for numerical realization are described and several examples have been carried out to illustrate the efficiency of the proposed approach.

• 出版日期2013-9