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of 28
pro vyhledávání: '"Bersetche, Francisco M."'
We study a natural alternating method of Schwarz type (domain decomposition) for certain class of couplings between local and nonlocal operators. We show that our method fits into Lion's framework and prove, as a consequence, convergence in both, the
Externí odkaz:
http://arxiv.org/abs/2212.06093
Autor:
Bersetche, Francisco M.
In this study, we propose a generalization of the classic model of liquid democracy that allows fractional delegation of voting weight, while simultaneously allowing for the existence of equilibrium states. Our approach empowers agents to partition a
Externí odkaz:
http://arxiv.org/abs/2209.14128
We propose a First-Order System Least Squares (FOSLS) method based on deep-learning for numerically solving second-order elliptic PDEs. The method we propose is capable of dealing with either variational and non-variational problems, and because of i
Externí odkaz:
http://arxiv.org/abs/2204.07227
In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the equation and
Externí odkaz:
http://arxiv.org/abs/2107.05083
Publikováno v:
IMA Journal of Numerical Analysis, 42(4), pp.3207-3240, 2022
In this paper we consider approximations of Neumann problems for the integral fractional Laplacian by continuous, piecewise linear finite elements. We analyze the weak formulation of such problems, including their well-posedness and asymptotic behavi
Externí odkaz:
http://arxiv.org/abs/2008.06129
This work introduces and analyzes a finite element scheme for evolution problems involving fractional-in-time and in-space differentiation operators up to order two. The left-sided fractional-order derivative in time we consider is employed to repres
Externí odkaz:
http://arxiv.org/abs/1705.09815
In \cite{AcostaBorthagaray}, a complete $n$-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D {\it MATLAB}\textsuperscript{\textr
Externí odkaz:
http://arxiv.org/abs/1610.05558
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Publikováno v:
In Computers and Mathematics with Applications 15 August 2017 74(4):784-816
Akademický článek
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