• On Poncelet's maps 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2010-08-08)
      Article
      Accés obert
      Given two ellipses, one surrounding the other one, Poncelet introduced a map P from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure can be extended to any two smooth, nested ...
    • On sets defining few ordinary planes 

      Ball, Simeon Michael (2017-09-19)
      Article
      Accés obert
      Let S be a set of n points in real three-dimensional space, no three collinear and not all co-planar. We prove that if the number of planes incident with exactly three points of S is less than (Formula presented.) for some ...
    • On the relative position of two coplanar ellipses 

      Elizalde Masia, Borja (Universitat Politècnica de Catalunya, 2014-10)
      Projecte Final de Màster Oficial
      Accés restringit per decisió de l'autor
      This work solves the problem of computing the relative position of two affine coplanar ellipses in terms of the coefficients that deffine their equations without solving the quartic equation for the intersection points. ...
    • Proper generalized decomposition solutions within a domain decomposition strategy 

      Huerta, Antonio; Nadal Soriano, Enrique; Chinesta, Francisco (John Wiley & sons, 2018-03-30)
      Article
      Accés obert
      Domain Decomposition strategies and the Proper Generalized Decomposition are efficiently combined to obtain a fast evaluation of the solution approximation in parameterized elliptic problems with complex geometries. The ...