2023
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1. |
Falk, Richard S.; Winther, Ragnar. CONSTRUCTION OF POLYNOMIAL PRESERVING COCHAIN EXTENSIONS BY BLENDING. Mathematics of Computation 2023 ;Volum 92.(342) s. 1575-1594 UiO
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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
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2022
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3. |
Falk, Richard S.; Winther, Ragnar. The Bubble Transform and the de Rham Complex. Foundations of Computational Mathematics 2022 s. - UiO
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2021
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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 UiO
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2018
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5. |
Lee, Jeonghun; Winther, Ragnar. Local coderivatives and approximation of Hodge Laplace problems. Mathematics of Computation 2018 ;Volum 87.(314) s. 2709-2735 UiO
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2017
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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 UiO
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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 UiO
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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 UiO
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2015
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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 UiO
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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 UiO
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2014
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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 UiO
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12. |
Falk, Richard S.; Winther, Ragnar. Local bounded cochain projections. Mathematics of Computation 2014 ;Volum 83.(290) s. 2631-2656 UiO
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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 UiO
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14. |
Winther, Ragnar. Local bounded cochain projections and the bubble transform. DelMar, Numerics Day; 2014-05-09 - 2014-05-11 UiO
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2013
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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 UiO
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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 UiO
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2012
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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 UiB UiO
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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 UiO
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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 UiO
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2011
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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 UiO
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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) UiO
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22. |
Winther, Ragnar. Bounded cochain projections and finite elementexterior calculus. FoCM2011; 2011-07-11 - 2011-07-15 UiO
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23. |
Winther, Ragnar. Bounded cochain projections, why and how. ENUMATH2011; 2011-09-05 - 2011-09-09 UiO
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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 UiO
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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 UiO
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2010
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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2009
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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 UiO
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32. |
Halvorsen, Tore Gunnar. Structure preserving discretizations of wave equations from theoretical physics. Oslo: Unipub AS 2009 155 s. UiO
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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
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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 UiO
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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. UiO
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36. |
Winther, Ragnar. Preconditioning discretizations of systems of partial differential equations. Finics workshop; 2009-06-11 - 2009-06-12 UiO
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2008
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37. |
Arnold, DN; Awanou, G; Winther, Ragnar. Finite elements for symmetric tensors in three dimensions. Mathematics of Computation 2008 ;Volum 77. s. 1229-1251 UiO
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38. |
Christiansen, Snorre H; Winther, Ragnar. Smoothed projections in finite element exterior calculus. Mathematics of Computation 2008 ;Volum 77. UiO
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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2007
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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 UiO
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2006
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46. |
Christiansen, Snorre H; Winther, Ragnar. Smoothed projections in finite element exterior calculus. Oslo: Department of Mathematics 2006 20 s. UiO
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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. UiO
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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 UiO
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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 UiO
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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
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