Optimal coefficients for elliptic PDEs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908701356457984 |
|---|---|
| author | Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino |
| author_facet | Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino |
| contents | We consider an optimization problem related to elliptic PDEs of the form $-{\rm div}(a(x)\nabla u)=f$ with Dirichlet boundary condition on a given domain $Ω$. The coefficient $a(x)$ has to be determined, in a suitable given class of admissible choices, in order to optimize a given criterion. We first deal with the case when the cost is the so-called elastic compliance, and then we discuss the more general case when the problem is written as an optimal control problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal coefficients for elliptic PDEs Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino Optimization and Control 49Q10, 49J45, 35B65, 35R05, 49K20 We consider an optimization problem related to elliptic PDEs of the form $-{\rm div}(a(x)\nabla u)=f$ with Dirichlet boundary condition on a given domain $Ω$. The coefficient $a(x)$ has to be determined, in a suitable given class of admissible choices, in order to optimize a given criterion. We first deal with the case when the cost is the so-called elastic compliance, and then we discuss the more general case when the problem is written as an optimal control problem. |
| title | Optimal coefficients for elliptic PDEs |
| topic | Optimization and Control 49Q10, 49J45, 35B65, 35R05, 49K20 |
| url | https://arxiv.org/abs/2512.08431 |