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2023
1 Christiansen, Snorre H; Gopalakrishnan, Jay; Guzmán, Johnny; Hu, Kaibo.
A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik 2023 ;Volum 156. s. 159-204
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2 Christiansen, Snorre H; Halvorsen, Tore Gunnar; Scheid, Claire.
Convergence of a discretization of the Maxwell–Klein–Gordon equation based on finite element methods and lattice gauge theory. Numerical Methods for Partial Differential Equations 2023 ;Volum 39. s. 3271-3308
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2022
3 Christiansen, Snorre H; Hu, Kaibo.
Finite Element Systems for Vector Bundles: Elasticity and Curvature. Foundations of Computational Mathematics 2022 s. -
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2020
4 Erik, Burman; Christiansen, Snorre H; Hansbo, Peter.
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Computer Methods in Applied Mechanics and Engineering 2020 ;Volum 369.
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2019
5 Christiansen, Snorre H; Hu, Kaibo; Sande, Espen.
Poincare path integrals for elasticity. Journal des Mathématiques Pures et Appliquées 2019
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6 Christiansen, Snorre H; Licht, Martin Werner.
Poincaré-Friedrichs inequalities of complexes of discrete distributional differential forms. BIT Numerical Mathematics 2019 s. 1-27
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2018
7 Christiansen, Snorre H; Hu, Kaibo.
Generalized finite element systems for smooth differential forms and Stokes' problem. Numerische Mathematik 2018 ;Volum 140.(2) s. 327-371
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2017
8 Christiansen, Snorre H.
On eigenmode approximation for Dirac equations: differential forms and fractional Sobolev spaces. Mathematics of Computation 2017 ;Volum 87.(310) s. 547-580
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9 Christiansen, Snorre H; Hu, Jun; Hu, Kaibo.
Nodal finite element de Rham complexes. Numerische Mathematik 2017 ;Volum Published ahead of print. s. 1-36
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2016
10 Christiansen, Snorre H.
On curvature of piecewise flat manifolds. 27th Nordic Congress of Mathematicians; 2016-03-15 - 2017-03-20
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11 Christiansen, Snorre H.
Uniformly stable finite elements for convection diffusion equations. A conference in honour of Helge Holden; 2016-07-04 - 2016-07-07
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12 Christiansen, Snorre H; Gillette, Andrew.
Constructions of some minimal finite element systems. Mathematical Modelling and Numerical Analysis 2016 ;Volum 50.(3) s. 833-850
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13 Christiansen, Snorre H; Rapetti, Francesca.
On high order finite element spaces of differential forms. Mathematics of Computation 2016 ;Volum 85.(298) s. 517-548
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2013
14 Christiansen, Snorre H.
Constraint preservation in Lattice Gauge Theory. High resolution mathematical and numerical analysis of involution constrained PDEs; 2013-09-16
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15 Christiansen, Snorre H.
Dual finite elements for Calderon preconditioning of the Electric Field Integral Equation. Haute Fréquence; 2013-03-19
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16 Christiansen, Snorre H.
Finite element systems of differential forms. EMS – DMF Joint Math Weekend; 2013-04-05
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17 Christiansen, Snorre H.
Finite element systems of differential forms and applications to upwinding. Joint Mathematics Meeting; 2013-01-10
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18 Christiansen, Snorre H.
Systèmes d’éléments finis de formes différentielles, variantes sous le vent. Séminaire du Laboratoire; 2013-02-22
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19 Christiansen, Snorre H.
Upwinding in finite element systems of differential forms. London Mathematical Society Lecture Notes 2013 ;Volum 403. s. 45-71
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20 Christiansen, Snorre H; Winther, Ragnar.
On variational eigenvalue approximation of semidefinite operators. IMA Journal of Numerical Analysis 2013 ;Volum 33.(1) s. 164-189
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2012
21 Christiansen, Snorre H; Halvorsen, Tore Gunnar.
A simplicial gauge theory. Journal of Mathematical Physics 2012 ;Volum 53.(3) s. -
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2011
22 Christiansen, Snorre H.
Giovani matematici crescono: Snorre Christiansen. http://maddmaths.simai.eu/giovani-matematici-crescono/snorre [Internett] 2011-05-01
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23 Christiansen, Snorre H.
On the linearization of Regge calculus. Numerische Mathematik 2011 ;Volum 119.(4) s. 613-640
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24 Christiansen, Snorre H.
Spectral correctness of linearized Regge calculus. Advances and Challenges in Computational General Relativity; 2011-05-20 - 2011-05-22
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25 Christiansen, Snorre H.
Upwinding in finite element spaces of differential forms. Foundations of Computational Mathematics; 2011-07-04 - 2011-07-14
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26 Christiansen, Snorre H; Halvorsen, Tore Gunnar.
A gauge invariant discretization on simplicial grids of the Schrödinger eigenvalue problem in an electromagnetic field. SIAM Journal on Numerical Analysis 2011 ;Volum 49.(1) s. 331-345
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27 Christiansen, Snorre H; Halvorsen, Tore Gunnar.
Discretizing the Maxwell-Klein-Gordon equation by the Lattice Gauge Theory formalism. IMA Journal of Numerical Analysis 2011 ;Volum 31.(1) s. 1-24
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28 Christiansen, Snorre H; Munthe-Kaas, Hans; Owren, Brynjulf.
Topics in structure-preserving discretization. Acta Numerica 2011 ;Volum 20. s. 1-119
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29 Christiansen, Snorre H; Scheid, Claire.
Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation. Mathematical Modelling and Numerical Analysis 2011 ;Volum 45.(4) s. 739-760
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2010
30 Christiansen, Snorre H.
A construction of minimal finite element spaces of differential forms on polyhedra. Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE); 2010-01-11 - 2010-01-15
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31 Christiansen, Snorre H.
Applications of lattice gauge theory to the coupling of Maxwell with Klein-Gordon and Schroedinger equations. Time dependent quantum mechanics -- analysis and numerics; 2010-04-28 - 2010-04-30
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32 Christiansen, Snorre H.
Coupling Maxwell with Schrödinger equations using Lattice Gauge Theory. Maxwell's Equations: Theoretical and Numerical Issues with Applications; 2010-06-26 - 2010-06-30
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33 Christiansen, Snorre H.
Éléments finis mixtes minimaux sur les polyèdres. Séminaire EDP et Analyse numérique; 2010-03-04
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34 Christiansen, Snorre H.
Éléments finis mixtes minimaux sur les polyèdres. Séminaire d'analyse appliquée; 2010-03-09
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35 Christiansen, Snorre H.
Gauge invariant discretizations of Schrödinger equations in an electromagnetic field. BIT 50 conference; 2010-06-17 - 2010-06-30
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36 Christiansen, Snorre H.
Introduction to mixed finite elements. Seminar of the Department of Mathematical Sciences and Technology; 2010-10-06
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37 Christiansen, Snorre H.
Introduction to Regge calculus and its linearization. Seminar of the Department of Mathematics and Natural Sciences; 2010-11-26
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38 Christiansen, Snorre H.
Lattice gauge theory meets finite elements. SAM kolloquium; 2010-05-19
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39 Christiansen, Snorre H.
Minimal mixed finite elements on polyhedra. Comptes rendus. Mathematique 2010 ;Volum 348.(3-4) s. 217-221
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40 Christiansen, Snorre H.
Mixed finite elements as inverse systems of differential forms. Workshop on Non-Standard Numerical Methods for PDE's; 2010-06-29 - 2010-07-02
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41 Christiansen, Snorre H.
On the linearization of Regge Calculus in 3D. Workshop on unstructured meshes in dynamical spacetimes; 2010-07-25 - 2010-07-27
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42 Christiansen, Snorre H.
On variational eigenvalue approximation of semidefinite operators. : ArXiv 2010 14 s.
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43 Christiansen, Snorre H; Halvorsen, Tore Gunnar.
A simplicial gauge theory. : http://arxiv.org/abs/1006.2059v3 2010 16 s.
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2009
44 Christiansen, Snorre H.
A discussion of the div-curl lemma in a Galerkin setting. Seminar; 2009-12-03
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45 Christiansen, Snorre H.
A framework for the discretization of differential forms on cellular complexes. ICOSAHOM 2009; 2009-06-22 - 2009-06-26
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46 Christiansen, Snorre H.
Discretizing the Yang-Mills-Higgs equation. Compatible and Innovative Discretizations for Partial Differential Equations; 2009-06-17 - 2009-06-19
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47 Christiansen, Snorre H.
Éléments finis mixtes minimaux sur les polyèdres. : Matematisk Institutt, Universitetet i Oslo 2009 6 s. Preprint series (Universitetet i Oslo. Matematisk institutt)(14)
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48 Christiansen, Snorre H.
Finite element exterior calculus on cellular complexes. Seminar; 2009-05-14 - 2009-05-15
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49 Christiansen, Snorre H.
Finite elements and differential forms. Seminar; 2009-11-23 - 2009-11-25
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50 Christiansen, Snorre H.
Foundations of Finite Element Methods for Wave Equations of Maxwell Type. I: Applied wave mathematics. Springer 2009 ISBN 978-3-642-00584-8. s. 335-393
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