Ragnar Winther

Bilde av Ragnar Winther
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Telefon +47-22855935
Rom 1007
Brukernavn
Besøksadresse Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO

Presentation

I was director of the Centre of Mathematics for Applications CMA since the start in 2003 to 2013. CMA was one of the first thirteen Norwegian centres of excellence supported by the Research Council of Norway. From 2004 to 2010 I was serving as chairman of the board of the Niels Henrik Abel Memorial Fund.

My research interests are partial differential equations and numerical analysis. In particular, lately I have focused on the development of compatible discretization methods , in particular on finite element exterior calculus.

Editorial boards

  • SIAM Journal on Scientific Computing (1998--2004), see here.
  • Numerical Analysis and Modeling, see here.
  • BIT, see here.

Recent preprints:

Emneord: Matematikk, Partielle differensiallikninger

Publikasjoner

Se alle arbeider i Cristin

  • Tveito, Aslak & Winther, Ragnar (ed.) (2009). Introduction to Partial Differential Equations; A Computational Approach. Springer.  ISBN 978-3-540-88704-1.  392 s.
  • Tveito, Aslak & Winther, Ragnar (2002). Einfuhrung in partielle differentalgleichungen, Ein numerischer zugang. Springer.  ISBN 3-540-42404-0.  392 s.
  • Winther, Ragnar & Tveito, Aslak (2002). Einfuhrung in die Theorie der partiellen Differentialgleichungen;Ein numericher Zugang. Springer.
  • Tveito, Aslak & Winther, Ragnar (1998). Introduction to Partial Differential Equations; A computational Approach. Springer.  400 s.

Se alle arbeider i Cristin

  • Hu, Kaibo & Winther, Ragnar (2017). Well-Conditioned Frames for Finite Element Methods.
  • Winther, Ragnar (2014). Local bounded cochain projections and the bubble transform.
  • Winther, Ragnar (2014). Local bounded cochain projections and the bubble transform.
  • Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordbotten, Jan Martin; Tai, Xue-Cheng & Winther, Ragnar (2012). Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling.  ISSN 1705-5105.  9(3), s I- II
  • Winther, Ragnar (2012). Five Lectures on Finite Element Exterior Calculus.
  • Winther, Ragnar (2012). Uniform preconditioners and the Taylor-Hood method.
  • Muntingh, Agnar Georg Peder; Piene, Ragni & Winther, Ragnar (2011). Topics in Polynomial Interpolation Theory. Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo.. 1056.
  • Winther, Ragnar (2011). Bounded cochain projections and finite elementexterior calculus.
  • Winther, Ragnar (2011). Bounded cochain projections, why and how.
  • Winther, Ragnar (2011). Finite element exterior calculus - a link between topology and numerical analysis.
  • Winther, Ragnar (2010). Cochain projections in finite element exterior calculus.
  • Winther, Ragnar (2010). Finite element exterior calculus - from Hodge theory to numerical stability.
  • Winther, Ragnar (2010). Introduction to finite element exterior calculus.
  • Halvorsen, Tore Gunnar; Christiansen, Snorre H & Winther, Ragnar (2009). Structure preserving discretizations of wave equations from theoretical physics.
  • Winther, Ragnar (2009). Preconditioning discretizations of systems of partial differential equations.
  • Winther, Ragnar (2008). Finite element discretizations of the elasticity complex.
  • Winther, Ragnar (2008). Finite element exterior calculus - a link between algebraic topology and numerical analysis.
  • Winther, Ragnar (2008). Mixed finite elements for linear elasticity and viscoelasticity.
  • Winther, Ragnar (2008). Preconditioning saddle point problems arising from discretizations of partial differential equations (3 lectures).
  • Winther, Ragnar (2008). Smoothed projections in finite element exterior calculus.
  • Christiansen, Snorre H & Winther, Ragnar (2006). Smoothed projections in finite element exterior calculus.
  • Winther, Ragnar (2006). Finite element exterior calculus and applications.
  • Winther, Ragnar (2005). A discrete de Rham complex with enhanced smoothness.
  • Winther, Ragnar (2005). Exact sequences and mixed finite elements for elasticity.
  • Winther, Ragnar (2005). Mixed finite elements for elasticity, a constructive approach.
  • Christiansen, Snorre H & Winther, Ragnar (2004). On constraint preservation in numerical simulations of Yang-Mills equations.
  • Winther, Ragnar (2004). From the de Rham sequence to mixed finite elements for elasticity.
  • Winther, Ragnar (2004). Matematiske muligheter.
  • Winther, Ragnar (2004). On the construction of mixed finite elements for elasticity.
  • Winther, Ragnar (2004). Preconditioning saddle point systems.
  • Winther, Ragnar (2004). Robust preconditioners for mixed systems.
  • Winther, Ragnar & Ellingsrud, Geir (2004). Matematiske muligheter. Dagbladet.  ISSN 0805-3766.
  • Winther, Ragnar & Mardal, Kent-Andre (2004). An observation on Korn's inequality for nonconforming finite element methods.
  • Winther, Ragnar & Østby, Ivar (2003). Stability of a model of human granulopoiesis using continuous maturation.
  • Arnold, Douglas N. & Winther, Ragnar (2002). Mixed finite elements for elasticity in the stress-displacement formulation.
  • Arnold, Douglas N. & Winther, Ragnar (2002). Nonconforming mixed elements for elasticity.
  • Langtangen, Hans Petter; Mardal, Kent-Andre & Winther, Ragnar (2002). Numerical methods for incompressible viscous flow.
  • Mardal, Kent-Andre & Winther, Ragnar (2002). Uniform preconditioners for the time dependent Stokes problem.
  • Arnold, Douglas N. & Winther, Ragnar (2001). Mixed finite elements for elasticity.
  • Langtangen, Hans Petter; Mardal, Kent-Andre & Winther, Ragnar (2001). An efficient parallel iterative approach to the time-dependent Stokes problem.
  • Mardal, Kent-Andre; Tai, Xue-Cheng & Winther, Ragnar (2001). A robust finite element method for Darcy-Stokes flow.
  • Mardal, Kent-Andre; Winther, Ragnar & Langtangen, Hans Petter (2001). An optimal iterative approach to the time-dependent Stokes problem.
  • Winther, Ragnar (2001). A robust finite element method for Darcy-Stokes flow.
  • Winther, Ragnar (2001). Robust finite elements for mixed systems.
  • Winther, Ragnar (2001). Robust preconditioners for mixed systems.
  • Winther, Ragnar (1999). A nonconforming finite element method for a fourth order singular perturbation problem.
  • Winther, Ragnar (1999). A robust nonconforming H2-element.
  • Shen, Wen; Tveito, Aslak & Winther, Ragnar (1998). Rate of convergence for the zero relaxation limit.

Se alle arbeider i Cristin

Publisert 13. nov. 2010 14:47 - Sist endret 6. nov. 2018 13:06