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2023
1 Falk, Richard S.; Winther, Ragnar.
CONSTRUCTION OF POLYNOMIAL PRESERVING COCHAIN EXTENSIONS BY BLENDING. Mathematics of Computation 2023 ;Volum 92.(342) s. 1575-1594
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2 Tai, Xue-Cheng; Winther, Ragnar; Zhang, Xiaodi; Zheng, Weiying.
A uniform preconditioned for a Newton algorithm for total-variation minimisation and minimum-surface problems. SIAM Journal on Numerical Analysis 2023 ;Volum 61.(5) s. 2062-2083
NORCE UiO Untitled
 
2022
3 Falk, Richard S.; Winther, Ragnar.
The Bubble Transform and the de Rham Complex. Foundations of Computational Mathematics 2022 s. -
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2021
4 Hu, Kaibo; Winther, Ragnar.
Well conditioned frames for high order finite element methods. Journal of Computational Mathematics 2021 ;Volum 39.(3) s. 333-357
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2018
5 Lee, Jeonghun; Winther, Ragnar.
Local coderivatives and approximation of Hodge Laplace problems. Mathematics of Computation 2018 ;Volum 87.(314) s. 2709-2735
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2017
6 Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar.
Weakly Imposed Symmetry and Robust Preconditioners for Biot’s Consolidation Model. Computational Methods in Applied Mathematics 2017 ;Volum 17.(3) s. 377-396
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7 Hu, Kaibo; Winther, Ragnar.
Well-Conditioned Frames for Finite Element Methods. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017); 2017-09-25 - 2017-09-29
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8 Lee, Jeonghun; Mardal, Kent-Andre; Winther, Ragnar.
Parameter-robust discretization and preconditioning of Biot's consolidation model. SIAM Journal on Scientific Computing 2017 ;Volum 39.(1) s. A1-A24
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2015
9 Falk, Richard S.; Winther, Ragnar.
Double complexes and local cochain projections. Numerical Methods for Partial Differential Equations 2015 ;Volum 31.(2) s. 541-551
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10 Falk, Richard S.; Winther, Ragnar.
The Bubble Transform: A New Tool for Analysis of Finite Element Methods. Foundations of Computational Mathematics 2015 ;Volum 16.(1) s. 297-328
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2014
11 Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar.
Nonconforming tetrahedral mixed finite elements for elasticity. Mathematical Models and Methods in Applied Sciences 2014 ;Volum 24.(4) s. 783-796
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12 Falk, Richard S.; Winther, Ragnar.
Local bounded cochain projections. Mathematics of Computation 2014 ;Volum 83.(290) s. 2631-2656
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13 Winther, Ragnar.
Local bounded cochain projections and the bubble transform. Robust Discretizations and Fast Solvers for Computable Multi-Physics Problems; 2014-05-11 - 2014-05-19
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14 Winther, Ragnar.
Local bounded cochain projections and the bubble transform. DelMar, Numerics Day; 2014-05-09 - 2014-05-11
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2013
15 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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16 Mardal, Kent-Andre; Schoberl, Joachim; Winther, Ragnar.
A uniformly stable Fortin operator for the Taylor-Hood element. Numerische Mathematik 2013 ;Volum 123.(3) s. 537-551
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2012
17 Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordbotten, Jan Martin; Tai, Xue-Cheng; Winther, Ragnar.
Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling 2012 ;Volum 9.(3) s. I-II
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18 Winther, Ragnar.
Five Lectures on Finite Element Exterior Calculus. Applied Mathematics Summer School, 2012; 2012-08-20 - 2012-08-24
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19 Winther, Ragnar.
Uniform preconditioners and the Taylor-Hood method. Workshop on Efficient Numerical Methods for Partial Differential Equations; 2012-08-13 - 2012-08-18
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2011
20 Mardal, Kent-Andre; Winther, Ragnar.
Preconditioning discretizations of systems of partial differential equations. Numerical Linear Algebra with Applications 2011 ;Volum 18.(1) s. 1-40
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21 Muntingh, Agnar Georg Peder.
Topics in Polynomial Interpolation Theory. Unipub forlag 2011 ;Volum 1056.119 s. Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo.(1056)
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22 Winther, Ragnar.
Bounded cochain projections and finite elementexterior calculus. FoCM2011; 2011-07-11 - 2011-07-15
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23 Winther, Ragnar.
Bounded cochain projections, why and how. ENUMATH2011; 2011-09-05 - 2011-09-09
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24 Winther, Ragnar.
Finite element exterior calculus - a link between topology and numerical analysis. Department colloquium; 2011-04-07 - 2011-04-07
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25 Winther, Ragnar; Mardal, Kent-Andre.
Construction of preconditioners by mapping properties for systems of partial differential equations. I: Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations. Bentham eBooks 2011 ISBN 978-1-60805-291-2. s. 65-83
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2010
26 Arnold, DN; Falk, RS; Winther, Ragnar.
FINITE ELEMENT EXTERIOR CALCULUS FROM HODGE THEORY TO NUMERICAL STABILITY. Bulletin of the American Mathematical Society 2010 ;Volum 47.(2) s. 281-354
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27 Winther, Ragnar.
Cochain projections in finite element exterior calculus. Non-standard numerical methods for partial dofferential equations; 2010-06-29 - 2010-07-02
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28 Winther, Ragnar.
Finite element exterior calculus - from Hodge theory to numerical stability. Runge - Herglotz seminar, University of Gøttingen; 2010-05-03 - 2010-05-04
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29 Winther, Ragnar.
Introduction to finite element exterior calculus. IMA tutorial: Some novel discretization techniques; 2010-10-30 - 2010-10-31
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30 Winther, Ragnar; Rognes, Marie Elisabeth.
Mixed finite element methods for linear viscoelasticity using weak symmetry. Mathematical Models and Methods in Applied Sciences 2010 ;Volum 20.(6) s. 955-985
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2009
31 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar.
Geometric decompositions and local bases for spaces of finite element differential forms. Computer Methods in Applied Mechanics and Engineering 2009 ;Volum 198.(21-26) s. 1660-1672
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32 Halvorsen, Tore Gunnar.
Structure preserving discretizations of wave equations from theoretical physics. Oslo: Unipub AS 2009 155 s.
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33 Hu, Qiya; Tai, Xue-Cheng; Winther, Ragnar.
A saddle point approach to the computation of harmonic maps. SIAM Journal on Numerical Analysis 2009 ;Volum 47.(2) s. 1500-1523
UiO UiB Untitled
 
34 Karper, Trygve Klovning; Mardal, Kent-Andre; Winther, Ragnar.
Unified Finite Element Discretizations of Coupled Darcy-Stokes Flow. Numerical Methods for Partial Differential Equations 2009 ;Volum 25.(2) s. 311-326
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35 Tveito, Aslak; Winther, Ragnar.
Introduction to Partial Differential Equations; A Computational Approach. Springer 2009 (ISBN 978-3-540-88704-1) 392 s.
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36 Winther, Ragnar.
Preconditioning discretizations of systems of partial differential equations. Finics workshop; 2009-06-11 - 2009-06-12
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2008
37 Arnold, DN; Awanou, G; Winther, Ragnar.
Finite elements for symmetric tensors in three dimensions. Mathematics of Computation 2008 ;Volum 77. s. 1229-1251
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38 Christiansen, Snorre H; Winther, Ragnar.
Smoothed projections in finite element exterior calculus. Mathematics of Computation 2008 ;Volum 77.
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39 Karper, Trygve Klovning; Mardal, Kent-Andre; Winther, Ragnar.
Unified finite element discretizations of coupled Darcy-Stokes flow. Numerical Methods for Partial Differential Equations 2008 ;Volum 25.(2) s. 311-326
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40 Winther, Ragnar.
Finite element discretizations of the elasticity complex. 8th World Conference on Computational Mechanics; 2008-06-30 - 2008-07-04
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41 Winther, Ragnar.
Finite element exterior calculus - a link between algebraic topology and numerical analysis. 5th European Congress on Mathematics; 2008-07-14 - 2008-07-18
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42 Winther, Ragnar.
Mixed finite elements for linear elasticity and viscoelasticity. 4th Workshop on Numerical Methods for Evolution Equations; 2008-09-26 - 2008-09-27
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43 Winther, Ragnar.
Preconditioning saddle point problems arising from discretizations of partial differential equations (3 lectures). LMS Durham Symposium: Computational Linear Algebra for Partial Differential Equations; 2008-07-14 - 2008-07-24
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44 Winther, Ragnar.
Smoothed projections in finite element exterior calculus. Jim Bramble - Half a century of mathematics; 2008-05-02 - 2008-05-03
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2007
45 Arnold, DN; Falk, RS; Winther, Ragnar.
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Mathematics of Computation 2007 ;Volum 76. s. 1699-1723
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2006
46 Christiansen, Snorre H; Winther, Ragnar.
Smoothed projections in finite element exterior calculus. Oslo: Department of Mathematics 2006 20 s.
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47 Christiansen, Snorre Harald; Winther, Ragnar.
On constraint preservation in numerical simulations of Yang-Mills equations. SIAM Journal on Scientific Computing 2006 ;Volum 28.
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48 Klausen, Runhild Aae; Winther, Ragnar.
Convergence of multipoint flux approximations on quadrilateral grids. Numerical Methods for Partial Differential Equations 2006 ;Volum 22. s. 1438-1454
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49 Klausen, Runhild Aae; Winther, Ragnar.
Robust convergence of multi point flux approximation on rough grids. Numerische Mathematik 2006 ;Volum 104. s. 317-337
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50 Tai, Xue-Cheng; Winther, Ragnar.
A discrete de Rham complex with enhanced smoothness. Calcolo 2006 ;Volum 43.(4) s. 287-306
UiB UiO Untitled
 
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