• An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows 

  Ramírez, Luis; Eirís, Antonio; Couceiro, Iván; París, José; Nogueira, Xesús (Elsevier, 2022)

  [Abstract:] In this work we present a high-accurate discretization to solve the compressible Navier-Stokes equations using an Arbitrary Lagrangian-Eulerian meshless method (SPH-MLS), which can be seen as a general formulation ...

• Krein’s theorem in the context of topological abelian groups 

  Borsich, Tayomara; Domínguez, Xabier; Martín Peinador, Elena (MDPI, 2022)

  [Abstract:] A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact. In this paper we prove that there exist ...

• Topological Groups of Lipschitz Functions and Graev Metrics 

  Chasco, MJ; Domínguez, Xabier; Tkachenko, Mikhail (Elsevier, 2022)

  [Abstract] We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a given metric d on X. We find that the group of ...

• On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups 

  Domínguez, Xabier; Tarieladze, Vaja (Elsevier, 2021)

  [Abstract] Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and results in the same property for X. This is true for instance if H is precompact, ...

• Numerical Analysis and Safety Design of Grounding Systems in Underground Compact Substations 

  Guizán Roca, Raquel; Colominas, Ignasi; París, José; Couceiro, Iván; Navarrina, Fermín (Elsevier, 2022)

  [Abstract] This paper presents a mathematical and numerical formulation to design and analyze grounding systems in underground electrical substations. The developed approach is based on the well known Maxwell’s Equations. ...

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