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We present the construction of a sparse-compressed operator that approximates the solution operator of elliptic PDEs with rough coefficients. To derive the compressed operator, we construct a hierarchical basis of an approximate solution space, with
Externí odkaz:
http://arxiv.org/abs/2407.18671
We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rough coefficients. We show that the performance of the multiscale finite
Externí odkaz:
http://arxiv.org/abs/2309.16062
We investigate multiscale finite element methods for an elliptic distributed optimal control problem with rough coefficients. They are based on the (local) orthogonal decomposition methodology of M\aa lqvist and Peterseim.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2110.15885
Akademický článek
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In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical complexity in the space of distributions are presented. Also, some results on the existence of Shannon information for continuous systems ar
Externí odkaz:
http://arxiv.org/abs/1002.3807
Autor:
Bornhauser, Niklas1 niklas.bornhauser@gmail.com, Garay, José2 psi.garayrivera@gmail.com
Publikováno v:
Foro de Educación. jul-dic2022, Vol. 20 Issue 2, p231-253. 23p.
We discuss some aspects of the extension to continuous systems of a statistical measure of complexity introduced by Lopez-Ruiz, Mancini and Calbet (LMC) [Phys. Lett. A 209 (1995) 321]. In general, the extension of a magnitude from the discrete to the
Externí odkaz:
http://arxiv.org/abs/nlin/0204023
Autor:
Falcón Garay, José Antonio
El inglés Thomas Hobbes en el Leviatán (1651), decía que los hombres para vivir entre sí, de manera educada, pacífica, y ordenada, necesitan que exista un poder Estatal que obligue a respetarlas, y John Locke en su obra la Carta sobre la Toleran
Externí odkaz:
http://hdl.handle.net/20.500.12404/26383
Autor:
Castro-Serrano, Borja, Ceruti-Mahn, Cristián, Fernández-Ramírez, Cristian, Garay, José Miguel
Publikováno v:
Cinta de Moebio; sep2023, Issue 77, p143-158, 16p
Convergence results for optimized Schwarz methods (OSM) applied as solvers for Poisson's equation in a bounded rectangular domain with Dirichlet (physical) boundary conditions and zeroth-order (Robin) artificial transmission conditions between subdom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______386::24bda2ac2747989aa857f4b05c29f987
http://epub.oeaw.ac.at/?arp=buecher/Organisationseinheiten/_id105092_/ETNA/etna_Vol_55/pp744-791.pdf
http://epub.oeaw.ac.at/?arp=buecher/Organisationseinheiten/_id105092_/ETNA/etna_Vol_55/pp744-791.pdf