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1

Finite element exterior calculus, homological techniques, and applications

Arnold, Douglas N., Falk, Richard S., Winther, Ragnar

Journal:

Year:

2006

Language:

english

File:

PDF, 1.04 MB

english, 2006

2

The Bubble Transform: A New Tool for Analysis of Finite Element Methods

Falk, Richard S., Winther, Ragnar

Journal:

Foundations of Computational Mathematics

Year:

2016

Language:

english

File:

PDF, 651 KB

english, 2016

3

Finite element exterior calculus: from Hodge theory to numerical stability

Arnold, Douglas N., Falk, Richard S., Winther, Ragnar

Journal:

Bulletin of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 1.48 MB

english, 2010

4

Mixed finite elements for elasticity

Douglas N. Arnold, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2002

Language:

english

File:

PDF, 163 KB

english, 2002

5

Preconditioning discretizations of systems of partial differential equations

Kent-Andre Mardal, Ragnar Winther

Journal:

Numerical Linear Algebra with Applications

Year:

2011

Language:

english

File:

PDF, 304 KB

english, 2011

6

Multigrid in H (div) and H (curl)

Douglas N. Arnold, Richard S. Falk, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2000

Language:

english

File:

PDF, 170 KB

english, 2000

7

A Riemann Solver for a Two-Phase Multicomponent Process

Johansen, Thormod, Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1989

Language:

english

File:

PDF, 2.16 MB

english, 1989

8

NONCONFORMING MIXED ELEMENTS FOR ELASTICITY

ARNOLD, DOUGLAS N., WINTHER, RAGNAR

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2003

Language:

english

File:

PDF, 179 KB

english, 2003

9

Multicomponent Chromatography in a Two Phase Environment

Olav Dahl, Thormod Johansen, Aslak Tveito and Ragnar Winther

Journal:

SIAM Journal on Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 3.60 MB

english, 1992

10

Mixed finite element methods for linear elasticity with weakly imposed symmetry

Arnold, Douglas N., Falk, Richard S., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 368 KB

english, 2007

11

Multicomponent Chromatography in a Two Phase Environment

Dahl, Olav, Johansen, Thormod, Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 3.09 MB

english, 1992

12

A system of conservation laws including a stiff relaxation term; the 2D case

Wen Shen, Aslak Tveito, Ragnar Winther

Journal:

BIT Numerical Mathematics

Year:

1996

Language:

english

File:

PDF, 1.01 MB

english, 1996

13

Convergence of multipoint flux approximations on quadrilateral grids

Runhild A. Klausen, Ragnar Winther

Journal:

Numerical Methods for Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 154 KB

english, 2006

14

Finite elements for symmetric tensors in three dimensions

Arnold, Douglas N., Awanou, Gerard, Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 329 KB

english, 2008

15

MIXED FINITE ELEMENT METHODS FOR LINEAR VISCOELASTICITY USING WEAK SYMMETRY

ROGNES, MARIE E., WINTHER, RAGNAR

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2010

Language:

english

File:

PDF, 490 KB

english, 2010

16

An L1-Error Bound for a Semi-Implicit Difference Scheme Applied to Stiff System of Conversation Laws

Hans Joachim Schroll, Aslak Tveito and Ragnar Winther

Journal:

SIAM Journal on Numerical Analysis

Year:

1997

Language:

english

File:

PDF, 1.27 MB

english, 1997

17

A Finite Element Method for a Version of the Boussinesq Equation

Winther, Ragnar

Journal:

SIAM Journal on Numerical Analysis

Year:

1982

Language:

english

File:

PDF, 784 KB

english, 1982

18

An observation on Korn's inequality for nonconforming finite element methods

Mardal, Kent-Andre, Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 134 KB

english, 2005

19

A Saddle Point Approach to the Computation of Harmonic Maps

Hu, Qiya, Tai, Xue-Cheng, Winther, Ragnar

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 561 KB

english, 2009

20

A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems

Journal:

Mathematics of Computation

Year:

1981

Language:

english

File:

PDF, 1.82 MB

english, 1981

21

Unified finite element discretizations of coupled Darcy–Stokes flow

Trygve Karper, Kent-Andre Mardal, Ragnar Winther

Journal:

Numerical Methods for Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 180 KB

english, 2009

22

Error estimates for a galerkin approximation of a parabolic control problem

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1978

Language:

english

File:

PDF, 1.50 MB

english, 1978

23

An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws

Schroll, Hans Joachim, Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Numerical Analysis

Year:

1997

Language:

english

File:

PDF, 297 KB

english, 1997

24

An Error Estimate for a Finite Difference Scheme Approximating a Hyperbolic System of Conservation Laws

Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Numerical Analysis

Year:

1993

Language:

english

File:

PDF, 1.72 MB

english, 1993

25

NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY

ARNOLD, DOUGLAS N., AWANOU, GERARD, WINTHER, RAGNAR

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 376 KB

english, 2014

26

Local coderivatives and approximation of Hodge Laplace problems

Lee, Jeonghun J., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2018

Language:

english

File:

PDF, 376 KB

english, 2018

27

A superconvergent finite element method for the Korteweg-de\thinspace Vries equation

Arnold, Douglas N., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

1982

Language:

english

File:

PDF, 1.12 MB

english, 1982

28

A Finite Element Method for a Version of the Boussinesq Equation

Journal:

SIAM Journal on Numerical Analysis

Year:

1982

Language:

english

File:

PDF, 238 KB

english, 1982

29

Iterative Solution of Large Sparse Systems of Equations.by Wolfgang Hacksbusch

Review by: Ragnar Winther

Journal:

Mathematics of Computation

Year:

1995

Language:

english

File:

PDF, 139 KB

english, 1995

30

A Robust Finite Element Method for Darcy-Stokes Flow

Kent Andre Mardal, Xue-Cheng Tai and Ragnar Winther

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 893 KB

english, 2003

31

Interior Penalty Preconditioners for Mixed Finite Element Approximations of Elliptic Problems

Torgeir Rusten, Panayot S. Vassilevski and Ragnar Winther

Journal:

Mathematics of Computation

Year:

1996

Language:

english

File:

PDF, 426 KB

english, 1996

32

A Domain Embedding Preconditioner for the Lagrange Multiplier System

Einar Haug and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 1.70 MB

english, 2000

33

On the Zero Relaxation Limit for a System Modeling the Motions of a Viscoelastic Solid

Shen, Wen, Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Mathematical Analysis

Year:

1999

Language:

english

File:

PDF, 406 KB

english, 1999

34

A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS

QIYA HU, XUE-CHENG TAI and RAGNAR WINTHER

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 1.97 MB

english, 2009

35

Finite Elements for Symmetric Tensors in Three Dimensions

Douglas N. Arnold, Gerard Awanou and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 1.70 MB

english, 2008

36

Smoothed projections in finite element exterior calculus

Christiansen, Snorre H., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2007

File:

PDF, 254 KB

2007

37

Stability of a model of human granulopoiesis using continuous maturation

Ivar Østby, Ragnar Winther

Journal:

Journal of Mathematical Biology

Year:

2004

Language:

english

File:

PDF, 393 KB

english, 2004

38

On the Rate of Convergence to Equilibrium for a System of Conservation Laws with a Relaxation Term

Tveito, Aslak, Winther, Ragnar

Journal:

SIAM Journal on Mathematical Analysis

Year:

1997

Language:

english

File:

PDF, 384 KB

english, 1997

39

Interior penalty preconditioners for mixed finite element approximations of elliptic problems

Rusten, Torgeir, Vassilevski, Panayot S., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

1996

Language:

english

File:

PDF, 399 KB

english, 1996

40

A Robust Nonconforming H2-Element

Trygve K. Nilssen, Xue-Cheng Tai and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2001

Language:

english

File:

PDF, 1.24 MB

english, 2001

41

Mixed Finite Element Methods for Linear Elasticity with Weakly Imposed Symmetry

Douglas N. Arnold, Richard S. Falk and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 1.80 MB

english, 2007

42

Uniform preconditioners for the time dependent Stokes problem

Kent-Andre Mardal, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 97 KB

english, 2006

43

On Constraint Preservation in Numerical Simulations of Yang--Mills Equations

Christiansen, Snorre H., Winther, Ragnar

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 416 KB

english, 2006

44

Smoothed Projections in Finite Element Exterior Calculus

Snorre H. Christiansen and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 1.26 MB

english, 2008

45

A Conservative Finite Element Method for the Korteweg-de Vries Equation

Journal:

Mathematics of Computation

Year:

1980

Language:

english

File:

PDF, 1.19 MB

english, 1980

46

The Riemann Problem for Multicomponent Polymer Flooding

Johansen, Thormod, Winther, Ragnar

Journal:

SIAM Journal on Mathematical Analysis

Year:

1989

Language:

english

File:

PDF, 1.91 MB

english, 1989

47

A conservative finite element method for the Korteweg-de\thinspace Vries equation

Winther, Ragnar

Journal:

Mathematics of Computation

Year:

1980

File:

PDF, 1.39 MB

1980

48

A Preconditioned Iterative Method for Saddlepoint Problems

Rusten, Torgeir, Winther, Ragnar

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

1992

Language:

english

File:

PDF, 2.05 MB

english, 1992

49

The Korteweg–de Vries Equation, Posed in a Quarter-Plane

Bona, Jerry, Winther, Ragnar

Journal:

SIAM Journal on Mathematical Analysis

Year:

1983

Language:

english

File:

PDF, 4.61 MB

english, 1983

50

A superconvergent finite element method for the Korteweg-de\thinspace Vries equation

Arnold, Douglas N., Winther, Ragnar

Journal:

Mathematics of Computation

Year:

1982

File:

PDF, 1.12 MB

1982

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