Ragnar Winther

6.0k total citations · 1 hit paper
81 papers, 3.9k citations indexed

About

Ragnar Winther is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Ragnar Winther has authored 81 papers receiving a total of 3.9k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Computational Mechanics, 26 papers in Computational Theory and Mathematics and 23 papers in Mechanics of Materials. Recurrent topics in Ragnar Winther's work include Advanced Numerical Methods in Computational Mathematics (52 papers), Numerical methods in engineering (22 papers) and Advanced Mathematical Modeling in Engineering (14 papers). Ragnar Winther is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (52 papers), Numerical methods in engineering (22 papers) and Advanced Mathematical Modeling in Engineering (14 papers). Ragnar Winther collaborates with scholars based in Norway, United States and Japan. Ragnar Winther's co-authors include Douglas N. Arnold, Richard S. Falk, Kent‐André Mardal, Torgeir Rusten, Xue‐Cheng Tai, Aslak Tveito, Runhild A. Klausen, Jerry L. Bona, Thormod E. Johansen and Tom Lyche and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

Ragnar Winther

80 papers receiving 3.4k citations

Hit Papers

Finite element exterior calculus, homological techniques,... 2006 2026 2012 2019 2006 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Finite element exterior calculus, homological techniques, and applications
    2006 565 citations Douglas N. Arnold, Richard S. Falk et al. Acta Numerica profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Ragnar Winther Norway 31 3.1k 1.5k 1.3k 741 699 81 3.9k
Christine Bernardi France 29 3.0k 1.0× 1.7k 1.2× 1.6k 1.2× 792 1.1× 524 0.7× 143 3.7k
Richard S. Falk United States 33 3.7k 1.2× 2.6k 1.8× 2.3k 1.8× 943 1.3× 772 1.1× 79 5.2k
George J. Fix United States 21 2.1k 0.7× 825 0.6× 1.5k 1.2× 725 1.0× 767 1.1× 57 4.1k
Ricardo H. Nochetto United States 37 3.9k 1.3× 2.3k 1.6× 1.7k 1.3× 926 1.2× 1.0k 1.5× 170 5.1k
Raytcho Lazarov United States 35 3.1k 1.0× 1.4k 1.0× 2.1k 1.6× 914 1.2× 2.0k 2.8× 118 5.1k
R. Verfürth Germany 27 4.0k 1.3× 1.9k 1.3× 1.8k 1.4× 906 1.2× 792 1.1× 42 4.3k
Graeme Fairweather United States 36 1.5k 0.5× 629 0.4× 2.0k 1.5× 694 0.9× 1.5k 2.2× 126 4.2k
Monique Dauge France 30 2.7k 0.9× 2.2k 1.5× 2.1k 1.6× 1.2k 1.6× 399 0.6× 110 4.5k
A. H. Schatz United States 34 3.4k 1.1× 2.1k 1.4× 1.9k 1.5× 990 1.3× 917 1.3× 59 4.0k
Michel Crouzeix France 23 1.8k 0.6× 1.1k 0.8× 643 0.5× 403 0.5× 973 1.4× 63 2.7k

Countries citing papers authored by Ragnar Winther

Since Specialization
Citations

This map shows the geographic impact of Ragnar Winther's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ragnar Winther with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ragnar Winther more than expected).

Fields of papers citing papers by Ragnar Winther

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ragnar Winther. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ragnar Winther. The network helps show where Ragnar Winther may publish in the future.

Co-authorship network of co-authors of Ragnar Winther

This figure shows the co-authorship network connecting the top 25 collaborators of Ragnar Winther. A scholar is included among the top collaborators of Ragnar Winther based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ragnar Winther. Ragnar Winther is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Winther, Ragnar, et al.. (2017). Local coderivatives and approximation of Hodge Laplace problems. Mathematics of Computation. 87(314). 2709–2735. 3 indexed citations
2.
Falk, Richard S. & Ragnar Winther. (2014). Local bounded cochain projections. Mathematics of Computation. 83(290). 2631–2656. 33 indexed citations
3.
Arnold, Douglas N., Richard S. Falk, & Ragnar Winther. (2009). Geometric decompositions and local bases for spaces of finite element differential forms. Computer Methods in Applied Mechanics and Engineering. 198(21-26). 1660–1672. 49 indexed citations
4.
Christiansen, Snorre H. & Ragnar Winther. (2007). Smoothed projections in finite element exterior calculus. Mathematics of Computation. 77(262). 813–830. 69 indexed citations
5.
Arnold, Douglas N., Richard S. Falk, & Ragnar Winther. (2006). Finite element exterior calculus, homological techniques, and applications. Acta Numerica. 15. 1–155. 565 indexed citations breakdown →
6.
Klausen, Runhild A. & Ragnar Winther. (2006). Convergence of multipoint flux approximations on quadrilateral grids. Numerical Methods for Partial Differential Equations. 22(6). 1438–1454. 67 indexed citations
7.
Arnold, Douglas N. & Ragnar Winther. (2003). NONCONFORMING MIXED ELEMENTS FOR ELASTICITY. Mathematical Models and Methods in Applied Sciences. 13(3). 295–307. 79 indexed citations
8.
Lyche, Tom, et al.. (2002). Preconditioned Iterative Methods for Scattered Data Interpolation. Advances in Computational Mathematics. 17(3). 237–256. 8 indexed citations
9.
Winther, Ragnar, et al.. (1999). A domain embedding preconditioner for the Lagrange multiplier system. Mathematics of Computation. 69(229). 65–83. 8 indexed citations
10.
Arnold, Douglas N., Richard S. Falk, & Ragnar Winther. (1997). Preconditioning in H(𝑑𝑖𝑣) and applications. Mathematics of Computation. 66(219). 957–984. 161 indexed citations
11.
Tveito, Aslak, et al.. (1997). An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws. SIAM Journal on Numerical Analysis. 34(3). 1152–1166. 13 indexed citations
12.
Shen, Wen, Aslak Tveito, & Ragnar Winther. (1996). A system of conservation laws including a stiff relaxation term; the 2D case. BIT Numerical Mathematics. 36(4). 786–813. 5 indexed citations
13.
Rusten, Torgeir & Ragnar Winther. (1993). Substructure Preconditioners for Elliptic Saddle Point Problems. Mathematics of Computation. 60(201). 23–23. 4 indexed citations
14.
Rusten, Torgeir & Ragnar Winther. (1993). Substructure preconditioners for elliptic saddle point problems. Mathematics of Computation. 60(201). 23–48. 20 indexed citations
15.
Arnold, Douglas N., Richard S. Falk, & Ragnar Winther. (1991). Multigrid Preconditioning in H(div) on Non-convex Polygons. 6 indexed citations
16.
Kristensson, Gerhard, Robert J. Krueger, & Ragnar Winther. (1991). Existence and construction of solutions of dissipative inverse problems. Journal of Mathematical Analysis and Applications. 157(2). 542–554. 3 indexed citations
17.
Tveito, Aslak & Ragnar Winther. (1990). Convergence of a nonconservative finite difference scheme for a system of hyperbolic conservation laws. Differential and Integral Equations. 3(5). 3 indexed citations
18.
Winther, Ragnar, et al.. (1989). The Riemann Problem for Multicomponent Polymer Flooding. SIAM Journal on Mathematical Analysis. 20(4). 908–929. 38 indexed citations
19.
Winther, Ragnar. (1981). A stable finite element method for initial-boundary value problems for first-order hyperbolic systems. Mathematics of Computation. 36(153). 65–86. 24 indexed citations
20.
Lyche, Tom & Ragnar Winther. (1979). A stable recurrence relation for trigonometric B-splines. Journal of Approximation Theory. 25(3). 266–279. 105 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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