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pro vyhledávání: '"Bellido, José Carlos"'
We address the study of nonlocal gradients defined through general radial kernels $\rho$. Our investigation focuses on the properties of the associated function spaces, which depend on the characteristics of the kernel function. Specifically, even wi
Externí odkaz:
http://arxiv.org/abs/2402.16487
We provide a complete study of existence and uniqueness (uniqueness up to multiples in the case $\mathbf{d} = \mathbf{0}$) of non-negative and non-trivial solutions $\mathbf{x}$ for the linear system $(\mathbf{I}- \mathbf{A})\mathbf{x} = \mathbf{d}$
Externí odkaz:
http://arxiv.org/abs/2401.15099
In this paper we revisit a result due to Franz Rellich on smoothness of solutions of parametrized linear systems. With this result as a starting point, we obtain finer smoothness results in an elementary fashion and propose an efficient adjoint algor
Externí odkaz:
http://arxiv.org/abs/2301.13164
In this paper we develop a new set of results based on a nonlocal gradient jointly inspired by the Riesz s-fractional gradient and Peridynamics, in the sense that its integration domain depends on a ball of radius delta > 0 (horizon of interaction am
Externí odkaz:
http://arxiv.org/abs/2201.08793
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 1-105 (2023)
In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of in
Externí odkaz:
https://doaj.org/article/0264f8a27e5c43529518da55b61b8fe4
Akademický článek
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We consider the optimization problem for a shape cost functional $F(\Omega,f)$ which depends on a domain $\Omega$ varying in a suitable admissible class and on a "right-hand side" $f$. More precisely, the cost functional $F$ is given by an integral w
Externí odkaz:
http://arxiv.org/abs/1605.05096
Publikováno v:
In Advances in Engineering Software October 2020 148
Autor:
Donoso, Alberto, Bellido, José Carlos
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 August 2018 338:27-40
Autor:
Ruiz, David, Díaz-Molina, Alex, Sigmund, Ole, Donoso, Alberto, Bellido, José Carlos, Sánchez-Rojas, José Luis
Publikováno v:
In Applied Mathematical Modelling March 2018 55:1-12