Snorre Harald Christiansen

Image of Snorre Harald Christiansen
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Phone +47-22857774
Room 1014
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Visiting address Ullevål stadion Sognsveien 77 B 0855 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO
Other affiliations Department of Mathematics
Tags: Mathematics, Partial Differential Equations, Centre of Mathematics for Applications - CMA

Publications

  • Christiansen, Snorre H (2017). On eigenmode approximation for Dirac equations: differential forms and fractional Sobolev spaces. Mathematics of Computation.  ISSN 0025-5718. . doi: 10.1090/mcom/3233 Full text in Research Archive.
  • Christiansen, Snorre H & Gillette, Andrew (2016). Constructions of some minimal finite element systems. Mathematical Modelling and Numerical Analysis.  ISSN 0764-583X.  50(3), s 833- 850 . doi: 10.1051/m2an/2015089 Full text in Research Archive.
  • Christiansen, Snorre H & Rapetti, Francesca (2016). On high order finite element spaces of differential forms. Mathematics of Computation.  ISSN 0025-5718.  85(298), s 517- 548 . doi: 10.1090/mcom/2995 Full text in Research Archive.
  • Christiansen, Snorre H (2013). Upwinding in finite element systems of differential forms. London Mathematical Society Lecture Notes.  ISSN 0076-0552.  403, s 45- 71 Full text in Research Archive.
  • Christiansen, Snorre H & Winther, Ragnar (2013). On variational eigenvalue approximation of semidefinite operators. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  33(1), s 164- 189 . doi: 10.1093/imanum/drs002
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2012). A simplicial gauge theory. Journal of Mathematical Physics.  ISSN 0022-2488.  53(3) . doi: 10.1063/1.3692167
  • Christiansen, Snorre H (2011). On the linearization of Regge calculus. Numerische Mathematik.  ISSN 0029-599X.  119(4), s 613- 640 . doi: 10.1007/s00211-011-0394-z
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2011). A gauge invariant discretization on simplicial grids of the Schrödinger eigenvalue problem in an electromagnetic field. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  49(1), s 331- 345 . doi: 10.1137/090757502
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2011). Discretizing the Maxwell-Klein-Gordon equation by the Lattice Gauge Theory formalism. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  31(1), s 1- 24 . doi: 10.1093/imanum/drp019
  • Christiansen, Snorre H; Munthe-Kaas, Hans & Owren, Brynjulf (2011). Topics in structure-preserving discretization. Acta Numerica.  ISSN 0962-4929.  20, s 1- 119 . doi: 10.1017/S096249291100002X
  • Christiansen, Snorre H & Scheid, Claire (2011). Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation. Mathematical Modelling and Numerical Analysis.  ISSN 0764-583X.  45(4), s 739- 760 . doi: 10.1051/m2an/2010100
  • Christiansen, Snorre H (2010). Minimal mixed finite elements on polyhedra. Comptes rendus. Mathematique.  ISSN 1631-073X.  348(3-4), s 217- 221 . doi: 10.1016/j.crma.2010.01.017
  • Christiansen, Snorre H (2009). Foundations of Finite Element Methods for Wave Equations of Maxwell Type, In Tarmo Soomere (ed.),  Applied wave mathematics.  Springer.  ISBN 978-3-642-00584-8.  Part 5 / Chapter 2.  s 335 - 393
  • Christiansen, Snorre H (2009). On the div-curl lemma in a Galerkin setting. Calcolo (Testo stampato).  ISSN 0008-0624.  46(3), s 211- 220 . doi: 10.1007/s10092-009-0008-7
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2009). Convergence of lattice gauge theory for Maxwell's equations. BIT Numerical Mathematics.  ISSN 0006-3835.  49(4), s 645- 667 . doi: 10.1007/s10543-009-0242-z
  • Christiansen, Snorre H (2008). A construction of spaces of compatible differential forms on cellular complexes. Mathematical Models and Methods in Applied Sciences.  ISSN 0218-2025.  18, s 739- 757
  • Christiansen, Snorre H & Winther, Ragnar (2008). Smoothed projections in finite element exterior calculus. Mathematics of Computation.  ISSN 0025-5718.  77
  • Andriulli, FP; Cools, K; Bagci, H; Olyslager, F; Buffa, A; Christiansen, Snorre H & Michielssen, E (2008). A multiplicative Calderon preconditioner for the electric field integral equation. IEEE Transactions on Antennas and Propagation.  ISSN 0018-926X.  56, s 2398- 2412 . doi: 10.1109/TAP.2008.926788
  • Buffa, Annalisa & Christiansen, Snorre H (2007). A dual finite element complex on the barycentric refinement. Mathematics of Computation.  ISSN 0025-5718.  76, s 1743- 1769
  • Christiansen, Snorre H (2007). Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension. Numerische Mathematik.  ISSN 0029-599X.  107, s 87- 106 . doi: 10.1007/s00211-007-0081-2
  • Christiansen, Snorre Harald & Winther, Ragnar (2006). On constraint preservation in numerical simulations of Yang-Mills equations. SIAM Journal on Scientific Computing.  ISSN 1064-8275.  28
  • Buffa, Annalisa & Christiansen, Snorre Harald (2005). A dual finite element complex on the barycentric refinement. Comptes rendus. Mathematique.  ISSN 1631-073X.  340
  • Christiansen, Snorre Harald (2005). A div-curl lemma for edge elements. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  43, s 116- 126
  • Christiansen, Snorre H (2004). A characterization of second order differential operators on finite element spaces. Mathematical Models and Methods in Applied Sciences.  ISSN 0218-2025.  14(12), s 1881- 1892
  • Christiansen, Snorre H (2004). Discrete Fredholm properties and convergence estimates for the electric field integral equation. Mathematics of Computation.  ISSN 0025-5718.  73(245), s 143- 167
  • Buffa, Annalisa & Christiansen, Snorre H (2003). The Electric Field Integral Equation on Lipschitz screens: definitions and numerical approximation. Numerische Mathematik.  ISSN 0029-599X.  94(2), s 229- 267

View all works in Cristin

  • Christiansen, Snorre H (2017). Uniformly stable finite elements for convection diffusion equations.
  • Christiansen, Snorre H (2016). On curvature of piecewise flat manifolds.
  • Christiansen, Snorre H (2013). Constraint preservation in Lattice Gauge Theory.
  • Christiansen, Snorre H (2013). Dual finite elements for Calderon preconditioning of the Electric Field Integral Equation.
  • Christiansen, Snorre H (2013). Finite element systems of differential forms.
  • Christiansen, Snorre H (2013). Finite element systems of differential forms and applications to upwinding.
  • Christiansen, Snorre H (2013). Systèmes d’éléments finis de formes différentielles, variantes sous le vent.
  • Christiansen, Snorre H (2011, 01. mai). Giovani matematici crescono: Snorre Christiansen. [Internett].  http://maddmaths.simai.eu/giovani-matematici-crescono/snorre.
  • Christiansen, Snorre H (2011). Spectral correctness of linearized Regge calculus.
  • Christiansen, Snorre H (2011). Upwinding in finite element spaces of differential forms.
  • Christiansen, Snorre H (2010). A construction of minimal finite element spaces of differential forms on polyhedra.
  • Christiansen, Snorre H (2010). Applications of lattice gauge theory to the coupling of Maxwell with Klein-Gordon and Schroedinger equations.
  • Christiansen, Snorre H (2010). Coupling Maxwell with Schrödinger equations using Lattice Gauge Theory.
  • Christiansen, Snorre H (2010). Gauge invariant discretizations of Schrödinger equations in an electromagnetic field.
  • Christiansen, Snorre H (2010). Introduction to Regge calculus and its linearization.
  • Christiansen, Snorre H (2010). Introduction to mixed finite elements.
  • Christiansen, Snorre H (2010). Lattice gauge theory meets finite elements.
  • Christiansen, Snorre H (2010). Mixed finite elements as inverse systems of differential forms.
  • Christiansen, Snorre H (2010). On the linearization of Regge Calculus in 3D.
  • Christiansen, Snorre H (2010). On variational eigenvalue approximation of semidefinite operators.
  • Christiansen, Snorre H (2010). Éléments finis mixtes minimaux sur les polyèdres.
  • Christiansen, Snorre H (2010). Éléments finis mixtes minimaux sur les polyèdres.
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2010). A simplicial gauge theory.
  • Christiansen, Snorre H (2009). A discussion of the div-curl lemma in a Galerkin setting.
  • Christiansen, Snorre H (2009). A framework for the discretization of differential forms on cellular complexes.
  • Christiansen, Snorre H (2009). Discretizing the Yang-Mills-Higgs equation.
  • Christiansen, Snorre H (2009). Finite element exterior calculus on cellular complexes.
  • Christiansen, Snorre H (2009). Finite elements and differential forms.
  • Christiansen, Snorre H (2009). On the div-curl lemma in a Galerkin setting.
  • Christiansen, Snorre H (2009). Éléments finis mixtes minimaux sur les polyèdres. Prepint Series - Pure Mathematics. 14.
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2009). A gauge invariant discretization on simplicial grids of the Schrödinger eigenvalue problem in a magnetic field. Prepint Series - Pure Mathematics. 9.
  • Christiansen, Snorre H & Scheid, Claire (2009). Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation. Prepint Series - Pure Mathematics. 4.
  • Halvorsen, Tore Gunnar; Christiansen, Snorre H & Winther, Ragnar (2009). Structure preserving discretizations of wave equations from theoretical physics.
  • Christiansen, Snorre H (2008). A construction of spaces of compatible differential forms on cellular complexes.
  • Christiansen, Snorre H (2008). A construction of spaces of mixed finite elements on cellular complexes.
  • Christiansen, Snorre H (2008). Discrete differential forms: from algebraic topology to approximation of Maxwell's equations.
  • Christiansen, Snorre H (2008). On the linearization of Regge calculus.
  • Christiansen, Snorre H (2008). On the linearization of Regge calculus.
  • Christiansen, Snorre H (2008). Regge calculus as a non-standard finite element method.
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2008). Convergence of lattice gauge theory for Maxwell's equations.
  • Christiansen, Snorre H & Halvorsen, Tore Gunnar (2008). Solving the Maxwell-Klein-Gordon equation in the Lattice Gauge Theory formalism.
  • Christiansen, Snorre H (2007). A construction of mixed finite element spaces on polyhedral meshes.
  • Christiansen, Snorre H (2007). Constraint preserving discretizations for some gauge invariant wave equations.
  • Christiansen, Snorre H (2007). Constraint preserving schemes for some gauge invariant wave equations.
  • Christiansen, Snorre H (2007). Constraint preserving schemes for some gauge invariant wave equations. Prepint Series - Pure Mathematics. 5.
  • Christiansen, Snorre H (2007). Discrete differential forms: from algebraic topology to approximation of Maxwell's equations.
  • Christiansen, Snorre H (2006). A construction of mixed finite element spaces on polyhedral meshes.
  • Christiansen, Snorre H (2006). On constraint preservation in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2006, 21. august). Skolen ble en døråpner.  Dagbladet.
  • Christiansen, Snorre H (2006). Some homological algebra techniques in numerical analysis.
  • Christiansen, Snorre H & Winther, Ragnar (2006). Smoothed projections in finite element exterior calculus.
  • Buffa, Annalisa & Christiansen, Snorre H (2005). A dual finite element complex on the barycentric refinement.
  • Christiansen, Snorre H (2005). A construction of spaces of differential forms on cellular complexes.
  • Christiansen, Snorre H (2005). On constraint preservation in finite element discretizations of Yang-Mills equations.
  • Christiansen, Snorre H (2005). On constraint preservation in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2005). On constraint preservation in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2005). On divergence control in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2005). On numerical simulation of Yang-Mills equations.
  • Christiansen, Snorre H (2005). Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension.
  • Christiansen, Snorre H & Buffa, Annalisa (2005). A dual finite element complex on the barycentric refinement.
  • Christiansen, Snorre H (2004). A compensated compactness property of some finite element spaces.
  • Christiansen, Snorre H (2004). Constraint preservation and gauge invariance in discretizations of Maxwell and Yang-Mills equations.
  • Christiansen, Snorre H (2004). Div-curl lemma for edge elements.
  • Christiansen, Snorre H (2004). Div-curl lemma for edge elements.
  • Christiansen, Snorre H (2004). Numerical simulation of a non-linearly constrained evolution PDE: the Yang-Mills equations.
  • Christiansen, Snorre H (2004). On divergence control in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2004). On divergence control in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2004). On the use of Calderon formulas to precondition acoustic boundary integral equations on open surfaces.
  • Christiansen, Snorre H (2004). Sobre la simulacion numerica de las ecuaciones de Yang-Mills.
  • Christiansen, Snorre H (2004). Sur le controle de la divergence dans la simulation numerique des equations de Yang-Mills.
  • Christiansen, Snorre H (2004). Two talks on preconditioning the Electric Field Integral Equation.
  • Christiansen, Snorre H & Winther, Ragnar (2004). On constraint preservation in numerical simulations of Yang-Mills equations.
  • Christiansen, Snorre H (2003). A characterization of second order differential operators on finite element spaces.
  • Christiansen, Snorre H (2003). Div-Curl lemma for Edge Elements.

View all works in Cristin

Published Nov. 30, 2010 11:20 PM - Last modified Sep. 16, 2011 3:03 PM

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