• Isogeometric Analysis 

      Dokken, Tor; Kvamsdal, Trond; Pettersen, Kjell Fredrik; Skytt, Vibeke (Journal article; Peer reviewed, 2010)
      NURBS (Non Uniform Rational B-Spline) curves and surfaces have been used extensively in Computer Aided Design (CAD) in the last two decades but not in Finite Element Analysis (FEA). Isogeometric analysis [6], introduced ...
    • Locally Refinable Splines over Box-Partitions 

      Dokken, Tor; Lyche, Tom Johan; Pettersen, Kjell Fredrik (SINTEF Rapport;, Research report, 2012)
      We address progressive local refinement of splines defined on axes parallel box-partitions and corresponding box-meshes in any space dimension. The refinement is specified by a sequence of mesh-rectangles (axes parallel ...
    • On the dimension of multivariate spline spaces 

      Pettersen, Kjell Fredrik (SINTEF Rapport;, Research report, 2013)
      In this paper, we define the topological structures for an arbitrary axis-aligned box partition of a parametric d-dimensional box-shaped limited domain in R^d. Then we define the d-variate spline space over this partition ...