Blar i Institutt for matematiske fag på tittel

Viser treff 1071-1090 av 2354

    • Isentropic fluid dynamics in a curved pipe 

      Colombo, Rinaldo M; Holden, Helge (Journal article; Peer reviewed, 2016)
      In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the solution of the general Cauchy problem for ...

    • Isogeny Based Cryptography 

      Strand, Trym (Master thesis, 2019)
      Vi undersøker hvor brukbart tre forskjellige kryposystem er in en post-kvantum verden. Rostovtsev-Stolbunov offentlig nøkkel protokollen, som bruker isogenyer mellom elliptiske kurver, viser seg å være usikre mot ...

    • Isogeometric Analysis and Degenerated Mappings 

      Raknes, Siv Bente (Master thesis, 2011)
      In this thesis we have given an introduction to isogeometric finite element analysis on linear elasticity problems in 2D using non uniform rational B-splines (NURBS) as basis functions. We have studied the theory of B-splines ...

    • Isogeometric Analysis Based Shape Optimization. 

      Solbakken, Kristin (Master thesis, 2015)
      We solve shape optimization problems involving partial differential equations. The latter are discretized and solved using isogeometric analysis. B-splines and non uniform rational B-splines are introduced, along with both ...

    • Isogeometric analysis of acoustic scattering 

      Venås, Jon Vegard (Master thesis, 2015)
      Acoustic scattering has been thoroughly analyzed with the use of finite element analysis (FEA). The problem at hand is a coupled fluid-structure interaction problem on an unbounded domain, where an object of elastic material ...

    • Isogeometric Analysis of Acoustic Scattering using Infinite Elements 

      Venås, Jon Vegard; Kvamsdal, Trond; Jenserud, Trond (Journal article; Peer reviewed, 2018)
      Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled ...

    • Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML) 

      Venås, Jon Vegard; Kvamsdal, Trond (Peer reviewed; Journal article, 2022)
      The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity ...

    • Isogeometric analysis of thermoelastic problem 

      Aakre, Siri (Master thesis, 2015)
      In this thesis there is given an introduction to isogeometric finite element method for uncoupled thermo elastic problems using non uniform rational B-splines (NURBS) as basis functions. The numerical analysis of the ...

    • Isogeometric analysis of THM coupled processes in ground freezing 

      Bekele, Yared Worku; Kyokawa, Hiroyuki; Kvarving, Arne Morten; Kvamsdal, Trond; Nordal, Steinar (Journal article; Peer reviewed, 2017)
      An isogeometric analysis (IGA) based numerical model is presented for simulation of thermo-hydro-mechanically (THM) coupled processes in ground freezing. The momentum, mass and energy conservation equations are derived ...

    • Isogeometric Analysis Using Locally Refined B-splines 

      Johannessen, Kjetil André (Doctoral thesis at NTNU;2014:376, Doctoral thesis, 2014)

    • Isogeometric analysis using LR B-splines 

      Johannessen, Kjetil Andre; Kvamsdal, Trond; Dokken, Tor (Journal article; Peer reviewed, 2014)
      The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013) [6] may have the potential to be a framework for isogeometric analysis to enable future interoperable computer aided design and ...

    • Isogeometric Analysis: Higher-Order Differential Equations 

      Tjomsland, Mathias Farvolden (Master thesis, 2013)
      This thesis introduces Isogeometric Analysis as a potentional bridge between the Finite Element Analysis (FEA) and Computer Aided Design (CAD) communities. An introduction to B-splines and B-spline-based Isogeometric ...

    • Isogeometric boundary element method for acoustic scattering by a submarine 

      Venås, Jon Vegard; Kvamsdal, Trond (Journal article; Peer reviewed, 2019)
      Isogeometric analysis with the boundary element method (IGABEM) has recently gained interest. In this paper, the approximability of IGABEM on 3D acoustic scattering problems will be investigated and a new improved BeTSSi ...

    • Isogeometric Collocation - Numerical solution of differential equations 

      Engen, Pål Oskar (Master thesis, 2016)
      This thesis present the theory and implementation of Lagrange polynomial interpolation. We study and implement Splines intended on geometric design and interpolation methods. We explore and implement one dimensional numerical ...

    • Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows 

      van Opstal, Timo Matteo; Yan, Jinhui; Coley, Christopher; Evans, John Andrew; Kvamsdal, Trond; Bazilevs, Yuri (Journal article, 2016)
      A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in ...

    • Isogeometric Finite Element Analysis using B-spline Basis Functions: The Poisson Equation and the Biharmonic Equation 

      Solberg, Turid Schoonderbeek (Master thesis, 2013)
      In this thesis the finite element method with B-spline basis functions was implemented and tested for the Poisson equation and the Biharmonic equation in an isoparametric setting. The equations were solved on a unit square ...

    • Isogeometric methods for CFD and FSI-simulation of flow around turbine blades 

      van Opstal, Timo Matteo; Fonn, Eivind; Holdahl, Runar; Kvamsdal, Trond; Kvarving, Arne Morten; Mathisen, Kjell Magne; Nordanger, Knut; Okstad, Knut Morten; Rasheed, Adil; Tabib, Mandar (Journal article; Peer reviewed, 2015)
      Coupled fluid-structure interaction simulations of wind turbines have traditionally been considered computationally too expensive to carry out. However, more powerful computers and better solution techniques based on ...

    • Isogeometric Methods for Computational Fluid Dynamics: Divergence-conforming Discretizations for the 2D Stokes Equations 

      Giske, Finn-Idar Grøtta (Master thesis, 2014)
      In this thesis we look at how boundary value problems for partial differential equations can be solved numerically using B-splines, or more generally NURBS, both to express the geometry of the problem exactly and as a basis ...

    • Isogeometrisk analyse av Boussinesq ligningene 

      Abdulhaque, Abdullah (Master thesis, 2016)
      In this master thesis, I have solved the Boussinesq equations with Isogeometric Analysis to study heat transfer coupled with air circulation. The Boussinesq equations consist of the Navier-Stokes equations and the ...

    • Isomorphisms of Lᵖ-operator algebras arising from projective group and groupoid representations 

      Hetland, Einar Våge (Master thesis, 2022)
      I denne avhandlingen ser vi hovedsakelig på isomorfiproblemet for den reduserte vridde gruppe- og gruppoide-Lᵖ-operatoralgebraen. For en lokalkompakt gruppe G og en kontinuerlig 2-kosykel σ definerer vi den reduserte ...