VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
El principal objectiu del grup és desenvolupar tècniques de l'anàlisi matemàtica en l'àmbit de les varietats discretes amb el propòsit d'obtenir noves eines i mètodes de resolució de problemes plantejats en aquest context. Concretament, la nostra intenció és desenvolupar un càlcul vectorial discret i utilitzar tècniques de la teoria del potencial sobre varietats discretes, tant si s'ajusten al problema físic, com si representen aproximacions del medi continu. Això ens condueix a l?estudi d'operadors i resolvents, al desenvolupament dels mètodes mimètics i a l'aplicació dels resultats obtinguts en problemes de l'enginyeria, fonamentalment d'enginyeria elèctrica.
The main objective of the group is to develop mathematical analysis techniques in the context of discrete manifolds in order to obtain new tools and new methods for solving problems in this field. More precisely, we aim to introduce vector calculus and potential theory techniques for discrete manifolds, whether they correspond to physical problems or to approximations in continuum mechanics. This leads on to the study of operators and resolvents, the development of mimetic methods and the application of results to engineering, mainly electrical engineering.
The main objective of the group is to develop mathematical analysis techniques in the context of discrete manifolds in order to obtain new tools and new methods for solving problems in this field. More precisely, we aim to introduce vector calculus and potential theory techniques for discrete manifolds, whether they correspond to physical problems or to approximations in continuum mechanics. This leads on to the study of operators and resolvents, the development of mimetic methods and the application of results to engineering, mainly electrical engineering.
Collections in this community
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Articles de revista [14]
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Presentacions [1]
Recent Submissions
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Ground movement control in the construction of a new metro line in Barcelona
(CRC Press, 2005)
Conference report
Restricted access - publisher's policyGround movement control is of paramount importance in the construction of a new Metro line in Barcelona given the large diameter of the excavation and the need to cross heavily built areas. A variety of construction ... -
Green matrices associated with generalized linear polyominoes
(Elsevier, 2015)
Article
Open AccessA polyomino is an edge-connected union of cells in the planar square lattice. Here we consider generalized linear polyominoes; that is, the polyominoes supported by an n × 2 lattice. In this paper, we obtain the ... -
Green matrices of weighted graphs with pendant vertices
(2014)
Lecture
Open Access -
On the nucleolus of 2 × 2 assignment games
(2013)
Article
Open AccessWe provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to ... -
A procedure to compute the nucleolus of the assignment game
(2013-11)
Article
Restricted access - publisher's policyThe assignment game introduced by Shapley and Shubik (1972) [6] is a model for a two-sided market where there is an exchange of indivisible goods for money and buyers or sellers demand or supply exactly one unit of the ... -
La función de Green y el índice de Kirchhoff de redes cluster
(2010)
Conference lecture
Open AccessEn este trabajo determinamos las Funciones de Green, respecto de un peso fijado sobre los vértices, en una amplia clase de redes compuestas que se engloban bajo la denominación de redes cluster. También aplicamos las ... -
Green function on product networks
(2012)
Conference lecture
Restricted access - publisher's policyOur objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schr odinger operator of the other factor ... -
Boundary value problems for Schrödinger operators on a Path Associated to Orthogonal Polynomials
(Springer, 2013)
Part of book or chapter of book
Restricted access - publisher's policyIn this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ... -
Two-side boundary value problems in distance-regular graphs
(Universidad de Almería, 2012)
Conference lecture
Open AccessIn this work we analyze regular boundary value problems on a distanceregular graph associated with Schr¨odinger operators in the case that the boundary has two vertices. Moreover, we obtain the Green matrix for each ... -
The Green function of a perturbed network
(2012)
Conference lecture
Open AccessThe díscrete Green functions and their relationship whit discrete Laplace equations have deserved the interest of many researchs useing different approac. In this work we derive the Green function of a perturbed network ... -
Generalized linear polyominoes, Green functions and Green matrices
(2012)
Conference lecture
Open AccessIn this work we derive the Creen function of a generalized linear Polyomino as a suitable perturbation of the Creen function of a Hamiltonian path on it. So, our study encompasses previous work:; on polyomino-like chains. -
Boundary value problems for Schrödinger operators on a path
(2012-05-25)
Research report
Open AccessIn this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ...
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