An Efficient Numerical Scheme Based on Radial Basis Functions and a Hybrid Quasi-Newton Method for a Nonlinear Shape Optimization Problem

An Efficient Numerical Scheme Based on Radial Basis Functions and a Hybrid Quasi-Newton Method for a Nonlinear Shape Optimization Problem

The purpose of this work is to construct a robust numerical scheme for a class of nonlinear free boundary identification problems. First, a shape optimization problem is constructed based on a least square functional. Schauder’s fixed point theorem is manipulated to show the existence solution for t...

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Bibliographic Details
Main Authors: Youness El Yazidi, Abdellatif Ellabib
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematical and Computational Applications
Subjects:
differential evolution
free boundary problem
nonlinear inverse problem
radial basis functions
Schauder’s fixed point
shape optimization
Online Access:https://www.mdpi.com/2297-8747/27/4/67

Internet

https://www.mdpi.com/2297-8747/27/4/67

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