Work

Control problems in the coefficients and the domain for linear elliptic equations

Year: 2024

Type: article

Abstract: In the present work we are interested in an optimal design problem for a linear elliptic state equation with a homogeneous boundary Dirichlet condition. The control variables correspond to the coefficients of the diffusion term and the open set where the equation is posed. From the application point of view these variables represent the layout of the materials composing the corresponding domain and its shape. We obtain a relaxed formulation of the problem, the optimality conditions, and we provide a numerical algorithm to solve it. Some numerical simulations are also carried out.

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-024-01662-4

Authors: Juan Casado-Díaz, Manuel Luna-Laynez, Faustino Maestre

Institution: Universidad de Sevilla

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Universidad de Sevilla, Consejería de Transformación Económica, Industria, Conocimiento y Universidades, Ministerio de Ciencia e Innovación, Junta de Andalucía