Browsing HVL Open by Author "Vatne, Jon Eivind"

Now showing items 1-4 of 4

    • Estimation of the Interpolation Error for Semiregular Prismatic Elements 

      Khademi, Ali; Vatne, Jon Eivind (Peer reviewed; Journal article, 2020)
      In this paper we introduce the semiregularity property for a family of decompositions of a polyhedron into a natural class of prisms. In such a family, prismatic elements are allowed to be very flat or very long compared ...

    • Functional analysis and exterior calculus on mixed-dimensional geometries 

      Boon, Wietse; Nordbotten, Jan Martin; Vatne, Jon Eivind (Peer reviewed; Journal article, 2020)
      We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of d-dimensional manifolds, structured hierarchically so that each d-dimensional manifold is contained in ...

    • Preserved Structure Constants for Red Refinements of Product Elements 

      Korotov, Sergey; Vatne, Jon Eivind (Chapter; Peer reviewed, 2021)
      In this paper we discuss some strategy for red refinements of product elements and show that there are certain structure characteristics (d-sines of angles formed by certain edges in the initial partition) which remain ...

    • Tight bounds for the dihedral angle sums of a pyramid 

      Korotov, Sergey; Lund, Lars Fredrik Kirkebø; Vatne, Jon Eivind (Peer reviewed; Journal article, 2022)
      We prove that eight dihedral angles in a pyramid with an arbitrary quadrilateral base always sum up to a number in the interval (3π, 5π). Moreover, for any number in (3π, 5π) there exists a pyramid whose dihedral angle sum ...