## Winther, Ragnar

Compute Distance To:
 Author ID: winther.ragnar Published as: Winther, Ragnar; Winther, R. Homepage: http://www.mn.uio.no/math/english/people/aca/rwinther/ External Links: MGP · Wikidata · ResearchGate · IdRef
 Documents Indexed: 82 Publications since 1974, including 4 Books Co-Authors: 30 Co-Authors with 75 Joint Publications 829 Co-Co-Authors
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### Co-Authors

 7 single-authored 20 Tveito, Aslak 16 Arnold, Douglas Norman 13 Falk, Richard S. 9 Mardal, Kent-Andre 6 Rusten, Torgeir 4 Johansen, Thormod E. 4 Tai, Xuecheng 3 Christiansen, Snorre Harald 3 Lee, Jeonghun J. 3 Schroll, Hans Joachim 3 Shen, Wen 3 Vassilevski, Panayot Spirov 2 Awanou, Gerard Michel 2 Bona, Jerry Lloyd 2 Haug, Einar 2 Klausen, Runhild Aae 2 Lyche, Tom 2 Nilssen, Trygve K. 1 Bærland, Trygve 1 Bruaset, Are Magnus 1 Dahl, Olav 1 Engelbrecht, Jüri 1 Hu, Kaibo 1 Hu, Qiya 1 Langseth, Jan Olav 1 Løvereide, Trond 1 Østby, Ivar 1 Quak, Ewald G. 1 Rognes, Marie E. 1 Schöberl, Joachim
all top 5

### Serials

 16 Mathematics of Computation 7 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 6 SIAM Journal on Mathematical Analysis 3 Numerical Methods for Partial Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Scientific Computing 3 Texts in Applied Mathematics 2 IMA Journal of Numerical Analysis 2 Differential and Integral Equations 2 Numerical Linear Algebra with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Calcolo 1 Journal of Approximation Theory 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Computational Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Springer-Lehrbuch
all top 5

### Fields

 67 Numerical analysis (65-XX) 55 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

75 Publications have been cited 2,573 times in 1,604 Documents Cited by Year
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2010
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
2002
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
A preconditioned iterative method for saddlepoint problems. Zbl 0760.65033
Rusten, Torgeir; Winther, Ragnar
1992
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
2011
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
2002
Finite elements for symmetric tensors in three dimensions. Zbl 1285.74013
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
2008
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2000
Preconditioning in H $$(\operatorname{div})$$ and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
1997
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
2009
A stable recurrence relation for trigonometric B-splines. Zbl 0414.41005
Lyche, T.; Winther, R.
1979
The Korteweg-de Vries equation, posed in a quarter-plane. Zbl 0529.35069
Bona, Jerry; Winther, Ragnar
1983
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Nonconforming mixed elements for elasticity. Zbl 1057.74036
Arnold, Douglas N.; Winther, Ragnar
2003
Smoothed projections in finite element exterior calculus. Zbl 1140.65081
Christiansen, Snorre H.; Winther, Ragnar
2008
Robust convergence of multi point flux approximation on rough grids. Zbl 1102.76036
Klausen, Runhild A.; Winther, Ragnar
2006
A robust nonconforming $$H^2$$-element. Zbl 0965.65127
Nilssen, Trygve K.; Tai, Xue-Cheng; Winther, Ragnar
2001
Some superlinear convergent results for the conjugate gradient method. Zbl 0447.65021
Winther, Ragnar
1980
Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043
Klausen, Runhild A.; Winther, Ragnar
2006
A discrete de Rham complex with enhanced smoothness. Zbl 1168.76311
Tai, Xue-Cheng; Winther, Ragnar
2006
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2009
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
2004
The solution of the Riemann problem for a hyperbolic system of conservation laws modeling polymer flooding. Zbl 0658.35061
Johansen, Thormod; Winther, Ragnar
1988
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
2014
A conservative finite element method for the Korteweg-de Vries equation. Zbl 0422.65063
Winther, Ragnar
1980
Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Zbl 0857.65117
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
1996
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
1997
Existence, uniqueness, and continuous dependence for a system of hyperbolic conservation laws modeling polymer flooding. Zbl 0741.65071
Tveito, Aslak; Winther, Ragnar
1991
The Korteweg-de Vries equation in a quarter plane, continuous dependence results. Zbl 0734.35120
Bona, Jerry L.; Winther, Ragnar
1989
Error estimates for a Galerkin approximation of a parabolic control problem. Zbl 0434.65092
Winther, Ragnar
1978
The solution of nonstrictly hyperbolic conservation laws may be hard to compute. Zbl 0824.65092
Tveito, Aslak; Winther, Ragnar
1995
On the convergence of operator splitting applied to conservation laws with source terms. Zbl 0866.65059
Langseth, J. O.; Tveito, A.; Winther, R.
1996
On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term. Zbl 0868.35073
Tveito, Aslak; Winther, Ragnar
1997
A stable finite element method for initial-boundary value problems for first-order hyperbolic systems. Zbl 0462.65066
Winther, Ragnar
1981
Nonconforming tetrahedral mixed finite elements for elasticity. Zbl 1433.74097
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
2014
Introduction to partial differential equations: a computational approach. Zbl 0906.35001
Tveito, Aslak; Winther, Ragnar
1998
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
A saddle point approach to the computation of harmonic maps. Zbl 1219.49030
Hu, Qiya; Tai, Xue-Cheng; Winther, Ragnar
2009
The Riemann problem for multicomponent polymer flooding. Zbl 0686.35077
Johansen, Thormod; Winther, Ragnar
1989
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
2006
Finite-difference schemes for scalar conservation laws with source terms. Zbl 0857.65091
Schroll, Hans Joachim; Winther, Ragnar
1996
An $$L^ 1$$-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws. Zbl 0873.65090
Schroll, Hans Joachim; Tveito, Aslak; Winther, Ragnar
1997
A superconvergent finite element method for the Korteweg-de Vries equation. Zbl 0487.76028
Arnold, Douglas N.; Winther, Ragnar
1982
A Riemann solver for a two-phase multicomponent process. Zbl 0672.76101
Johansen, Thormod; Tveito, Aslak; Winther, Ragnar
1989
On the stability of relaxed incomplete LU factorizations. Zbl 0701.65021
Bruaset, A. M.; Tveito, A.; Winther, R.
1990
Multicomponent chromatography in a two phase environment. Zbl 0739.35064
Dahl, Olav; Johansen, Thormod; Tveito, Aslak; Winther, Ragnar
1992
Mixed finite elements for elasticity in the stress-displacement formulation. Zbl 1138.74388
Arnold, Douglas N.; Winther, Ragnar
2003
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
2013
Substructure preconditioners for elliptic saddle point problems. Zbl 0795.65072
Rusten, Torgeir; Winther, Ragnar
1993
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
2006
Multigrid preconditioning in $$H(\text{div})$$ on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
1998
A finite element method for a version of the Boussinesq equation. Zbl 0489.76027
Winther, Ragnar
1982
Initial value methods for parabolic control problems. Zbl 0428.35043
Winther, Ragnar
1980
On variational eigenvalue approximation of semidefinite operators. Zbl 1269.65121
Christiansen, Snorre H.; Winther, Ragnar
2013
On constraint preservation in numerical simulations of Yang–Mills equations. Zbl 1115.70003
Christiansen, Snorre H.; Winther, Ragnar
2006
Introduction to partial differential equations: a computational approach. Corr. 2nd printing. Zbl 1063.35002
Tveito, Aslak; Winther, Ragnar
2005
Mixed finite element methods for linear viscoelasticity using weak symmetry. Zbl 1245.74087
Rognes, Marie E.; Winther, Ragnar
2010
On the zero relaxation limit for a system modeling the motions of a viscoelastic solid. Zbl 0934.35087
Shen, Wen; Tveito, Aslak; Winther, Ragnar
1999
Preconditioned iterative methods for scattered data interpolation. Zbl 0999.65120
Lyche, Tom; Nilssen, Trygve K.; Winther, Ragnar
2002
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
2015
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
2016
Stability of a model of human granulopoiesis using continuous maturation. Zbl 1055.92028
Østby, Ivar; Winther, Ragnar
2004
A domain embedding preconditioner for the Lagrange multiplier system. Zbl 0936.65131
Haug, Einar; Winther, Ragnar
2000
Domain embedding preconditioners for mixed systems. Zbl 0969.65105
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
1998
Local coderivatives and approximation of Hodge Laplace problems. Zbl 1402.65164
Lee, Jeonghun J.; Winther, Ragnar
2018
A collocation method for eigenvalue problems. Zbl 0301.65050
Winther, R.
1974
A system of conservation laws including a stiff relaxation term; the 2D case. Zbl 0865.65067
Shen, Wen; Tveito, Aslak; Winther, Ragnar
1996
A well-posed system of hyperbolic conservation laws. Zbl 0782.65121
Tveito, Aslak; Winther, Ragnar
1991
Introduction to partial differential equations. A computational approach. Paperback reprint. Zbl 1171.35002
Tveito, Aslak; Winther, Ragnar
2009
An error estimate for a finite difference scheme approximating a hyperbolic system of conservation laws. Zbl 0774.65068
Tveito, Aslak; Winther, Ragnar
1993
Introduction to partial differential equations: a computational approach. Transl. from the English by Hanna Peywand Kiani. (Einführung in partielle Differentialgleichungen. Ein numerischer Zugang. Übersetzt aus dem Englischen von Hanna Peywand Kiani.) Zbl 0985.35001
Tveito, Aslak; Winther, Ragnar
2002
Well-conditioned frames for high order finite element methods. Zbl 07403856
Hu, Kaibo; Winther, Ragnar
2021
Well-conditioned frames for high order finite element methods. Zbl 07403856
Hu, Kaibo; Winther, Ragnar
2021
Local coderivatives and approximation of Hodge Laplace problems. Zbl 1402.65164
Lee, Jeonghun J.; Winther, Ragnar
2018
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
2016
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
2015
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
2014
Nonconforming tetrahedral mixed finite elements for elasticity. Zbl 1433.74097
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
2014
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
2013
On variational eigenvalue approximation of semidefinite operators. Zbl 1269.65121
Christiansen, Snorre H.; Winther, Ragnar
2013
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2010
Mixed finite element methods for linear viscoelasticity using weak symmetry. Zbl 1245.74087
Rognes, Marie E.; Winther, Ragnar
2010
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
2009
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2009
A saddle point approach to the computation of harmonic maps. Zbl 1219.49030
Hu, Qiya; Tai, Xue-Cheng; Winther, Ragnar
2009
Introduction to partial differential equations. A computational approach. Paperback reprint. Zbl 1171.35002
Tveito, Aslak; Winther, Ragnar
2009
Finite elements for symmetric tensors in three dimensions. Zbl 1285.74013
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar
2008
Smoothed projections in finite element exterior calculus. Zbl 1140.65081
Christiansen, Snorre H.; Winther, Ragnar
2008
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Robust convergence of multi point flux approximation on rough grids. Zbl 1102.76036
Klausen, Runhild A.; Winther, Ragnar
2006
Convergence of multipoint flux approximations on quadrilateral grids. Zbl 1106.76043
Klausen, Runhild A.; Winther, Ragnar
2006
A discrete de Rham complex with enhanced smoothness. Zbl 1168.76311
Tai, Xue-Cheng; Winther, Ragnar
2006
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
2006
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
2006
On constraint preservation in numerical simulations of Yang–Mills equations. Zbl 1115.70003
Christiansen, Snorre H.; Winther, Ragnar
2006
Introduction to partial differential equations: a computational approach. Corr. 2nd printing. Zbl 1063.35002
Tveito, Aslak; Winther, Ragnar
2005
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
2004
Stability of a model of human granulopoiesis using continuous maturation. Zbl 1055.92028
Østby, Ivar; Winther, Ragnar
2004
Nonconforming mixed elements for elasticity. Zbl 1057.74036
Arnold, Douglas N.; Winther, Ragnar
2003
Mixed finite elements for elasticity in the stress-displacement formulation. Zbl 1138.74388
Arnold, Douglas N.; Winther, Ragnar
2003
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
2002
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
2002
Preconditioned iterative methods for scattered data interpolation. Zbl 0999.65120
Lyche, Tom; Nilssen, Trygve K.; Winther, Ragnar
2002
Introduction to partial differential equations: a computational approach. Transl. from the English by Hanna Peywand Kiani. (Einführung in partielle Differentialgleichungen. Ein numerischer Zugang. Übersetzt aus dem Englischen von Hanna Peywand Kiani.) Zbl 0985.35001
Tveito, Aslak; Winther, Ragnar
2002
A robust nonconforming $$H^2$$-element. Zbl 0965.65127
Nilssen, Trygve K.; Tai, Xue-Cheng; Winther, Ragnar
2001
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2000
A domain embedding preconditioner for the Lagrange multiplier system. Zbl 0936.65131
Haug, Einar; Winther, Ragnar
2000
On the zero relaxation limit for a system modeling the motions of a viscoelastic solid. Zbl 0934.35087
Shen, Wen; Tveito, Aslak; Winther, Ragnar
1999
Introduction to partial differential equations: a computational approach. Zbl 0906.35001
Tveito, Aslak; Winther, Ragnar
1998
Multigrid preconditioning in $$H(\text{div})$$ on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
1998
Domain embedding preconditioners for mixed systems. Zbl 0969.65105
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
1998
Preconditioning in H $$(\operatorname{div})$$ and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
1997
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
1997
On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term. Zbl 0868.35073
Tveito, Aslak; Winther, Ragnar
1997
An $$L^ 1$$-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws. Zbl 0873.65090
Schroll, Hans Joachim; Tveito, Aslak; Winther, Ragnar
1997
Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Zbl 0857.65117
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
1996
On the convergence of operator splitting applied to conservation laws with source terms. Zbl 0866.65059
Langseth, J. O.; Tveito, A.; Winther, R.
1996
Finite-difference schemes for scalar conservation laws with source terms. Zbl 0857.65091
Schroll, Hans Joachim; Winther, Ragnar
1996
A system of conservation laws including a stiff relaxation term; the 2D case. Zbl 0865.65067
Shen, Wen; Tveito, Aslak; Winther, Ragnar
1996
The solution of nonstrictly hyperbolic conservation laws may be hard to compute. Zbl 0824.65092
Tveito, Aslak; Winther, Ragnar
1995
Substructure preconditioners for elliptic saddle point problems. Zbl 0795.65072
Rusten, Torgeir; Winther, Ragnar
1993
An error estimate for a finite difference scheme approximating a hyperbolic system of conservation laws. Zbl 0774.65068
Tveito, Aslak; Winther, Ragnar
1993
A preconditioned iterative method for saddlepoint problems. Zbl 0760.65033
Rusten, Torgeir; Winther, Ragnar
1992
Multicomponent chromatography in a two phase environment. Zbl 0739.35064
Dahl, Olav; Johansen, Thormod; Tveito, Aslak; Winther, Ragnar
1992
Existence, uniqueness, and continuous dependence for a system of hyperbolic conservation laws modeling polymer flooding. Zbl 0741.65071
Tveito, Aslak; Winther, Ragnar
1991
A well-posed system of hyperbolic conservation laws. Zbl 0782.65121
Tveito, Aslak; Winther, Ragnar
1991
On the stability of relaxed incomplete LU factorizations. Zbl 0701.65021
Bruaset, A. M.; Tveito, A.; Winther, R.
1990
The Korteweg-de Vries equation in a quarter plane, continuous dependence results. Zbl 0734.35120
Bona, Jerry L.; Winther, Ragnar
1989
The Riemann problem for multicomponent polymer flooding. Zbl 0686.35077
Johansen, Thormod; Winther, Ragnar
1989
A Riemann solver for a two-phase multicomponent process. Zbl 0672.76101
Johansen, Thormod; Tveito, Aslak; Winther, Ragnar
1989
The solution of the Riemann problem for a hyperbolic system of conservation laws modeling polymer flooding. Zbl 0658.35061
Johansen, Thormod; Winther, Ragnar
1988
The Korteweg-de Vries equation, posed in a quarter-plane. Zbl 0529.35069
Bona, Jerry; Winther, Ragnar
1983
A superconvergent finite element method for the Korteweg-de Vries equation. Zbl 0487.76028
Arnold, Douglas N.; Winther, Ragnar
1982
A finite element method for a version of the Boussinesq equation. Zbl 0489.76027
Winther, Ragnar
1982
A stable finite element method for initial-boundary value problems for first-order hyperbolic systems. Zbl 0462.65066
Winther, Ragnar
1981
Some superlinear convergent results for the conjugate gradient method. Zbl 0447.65021
Winther, Ragnar
1980
A conservative finite element method for the Korteweg-de Vries equation. Zbl 0422.65063
Winther, Ragnar
1980
Initial value methods for parabolic control problems. Zbl 0428.35043
Winther, Ragnar
1980
A stable recurrence relation for trigonometric B-splines. Zbl 0414.41005
Lyche, T.; Winther, R.
1979
Error estimates for a Galerkin approximation of a parabolic control problem. Zbl 0434.65092
Winther, Ragnar
1978
A collocation method for eigenvalue problems. Zbl 0301.65050
Winther, R.
1974
all top 5

### Cited by 1,946 Authors

 31 Winther, Ragnar 26 Gatica, Gabriel N. 26 Xu, Jinchao 23 Mardal, Kent-Andre 21 Hiptmair, Ralf 20 Ruiz-Baier, Ricardo 19 Nordbotten, Jan Martin 18 Arnold, Douglas Norman 17 Chen, Long 17 Meddahi, Salim 16 Christiansen, Snorre Harald 16 Hu, Xiaozhe 15 Lee, Jeonghun J. 15 Schöberl, Joachim 15 Vassilevski, Panayot Spirov 15 Zikatanov, Ludmil T. 14 Axelsson, Axel Owe Holger 14 Chen, Shaochun 14 Guzmán, Johnny 14 Hu, Jun 14 Hu, Kaibo 14 Huang, Xuehai 14 Yotov, Ivan 13 Bona, Jerry Lloyd 13 Marquez-Duran, Antonio M. 13 Neilan, Michael 12 Adler, James H. 12 Kirby, Robert C. 12 Oyarzúa, Ricardo 12 Zhang, Shangyou 12 Zhang, Shuo 11 Carstensen, Carsten 11 Chen, Zhangxin 11 Falk, Richard S. 11 Gerritsma, Marc I. 11 Qiu, Weifeng 10 Awanou, Gerard Michel 10 Cockburn, Bernardo 10 He, Xiaoming 10 Karátson, János 9 Beirão da Veiga, Lourenço 9 Bochev, Pavel B. 9 Brenner, Susanne Cecelia 9 Kraus, Johannes K. 9 Kuchta, Miroslav 9 Mora, David 9 Radu, Florin Adrian 9 Rapetti, Francesca 9 Sonnendrücker, Eric 9 Zhao, Jikun 8 Ainsworth, Mark 8 Buffa, Annalisa 8 Campos Pinto, Martin 8 Castelletto, Nicola 8 Cotter, Colin John 8 Demkowicz, Leszek F. 8 Gaspar, Francisco José 8 Han, Xuli 8 Hong, Qingguo 8 MacLachlan, Scott P. 8 Olshanskii, Maxim A. 8 Palha, Artur 8 Risebro, Nils Henrik 8 Wohlmuth, Barbara I. 8 Xie, Xiaoping 7 Boon, Wietse M. 7 Brezzi, Franco 7 Cai, Zhiqiang 7 Dassi, Franco 7 Desbrun, Mathieu 7 Duan, Huoyuan 7 Gillette, Andrew 7 Karlsen, Kenneth Hvistendahl 7 Lamichhane, Bishnu Prasad 7 Lee, Youngju 7 Li, Jian 7 Li, Yuwen 7 Licht, Martin Werner 7 Ma, Changfeng 7 Mao, Shipeng 7 Meng, Zhaoliang 7 Rodrigo, Carmen 7 Rognes, Marie E. 7 Rui, Hongxing 7 Shen, Wen 7 Shu, Shi 7 Wang, Yanqiu 7 Wheeler, Mary Fanett 7 Zhang, Bei 6 Aavatsmark, Ivar 6 Badia, Santiago 6 Boffi, Daniele 6 Chung, Tsz Shun Eric 6 Fu, Guosheng 6 Huang, Na 6 Luo, Zhongxuan 6 Marini, Luisa Donatella 6 Pardo, David 6 Sangalli, Giancarlo 6 Sayas, Francisco-Javier ...and 1,846 more Authors
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### Cited in 222 Serials

 117 Computer Methods in Applied Mechanics and Engineering 91 Mathematics of Computation 90 Journal of Computational Physics 83 Computers & Mathematics with Applications 83 Journal of Computational and Applied Mathematics 77 Numerische Mathematik 66 SIAM Journal on Scientific Computing 63 Journal of Scientific Computing 53 SIAM Journal on Numerical Analysis 41 Applied Numerical Mathematics 34 Applied Mathematics and Computation 32 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Numerical Methods for Partial Differential Equations 27 BIT 26 Computational Geosciences 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Numerical Linear Algebra with Applications 24 Calcolo 19 Advances in Computational Mathematics 17 Journal of Differential Equations 16 Computational Methods in Applied Mathematics 15 Numerical Algorithms 14 International Journal for Numerical Methods in Fluids 12 Journal of Mathematical Analysis and Applications 12 Computer Aided Geometric Design 12 Foundations of Computational Mathematics 11 Science China. Mathematics 10 International Journal for Numerical Methods in Engineering 10 Mathematics and Computers in Simulation 10 International Journal of Computer Mathematics 10 SMAI Journal of Computational Mathematics 8 Applicable Analysis 8 Journal of Approximation Theory 8 Advances in Applied Mathematics and Mechanics 7 Computational Mechanics 7 Applied Mathematics Letters 7 Communications in Partial Differential Equations 6 Computers and Fluids 6 Acta Applicandae Mathematicae 6 Applied Mathematical Modelling 6 ETNA. Electronic Transactions on Numerical Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Abstract and Applied Analysis 6 Archives of Computational Methods in Engineering 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Matrix Analysis and Applications 5 Linear Algebra and its Applications 5 SIAM Journal on Mathematical Analysis 5 Computational Optimization and Applications 5 Computational and Applied Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Numerical Mathematics 5 International Journal of Numerical Analysis and Modeling 5 Discrete and Continuous Dynamical Systems. Series S 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Optimization Theory and Applications 4 Proceedings of the American Mathematical Society 4 Constructive Approximation 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Communications in Computational Physics 3 Archive for Rational Mechanics and Analysis 3 International Journal of Engineering Science 3 Inverse Problems 3 Journal of Engineering Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Advances in Applied Mathematics 3 Physica D 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Review 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Nonlinear Science 3 Mathematical Problems in Engineering 3 Acta Numerica 3 Frontiers of Mathematics in China 3 Advances in Numerical Analysis 2 Acta Mechanica 2 Journal of the Mechanics and Physics of Solids 2 ACM Transactions on Mathematical Software 2 Computing 2 Integral Equations and Operator Theory 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 ACM Transactions on Graphics 2 Discrete & Computational Geometry 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Archive of Applied Mechanics 2 Communications in Numerical Methods in Engineering 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Optimization Methods & Software ...and 122 more Serials
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### Cited in 49 Fields

 1,237 Numerical analysis (65-XX) 607 Partial differential equations (35-XX) 490 Fluid mechanics (76-XX) 315 Mechanics of deformable solids (74-XX) 92 Optics, electromagnetic theory (78-XX) 71 Global analysis, analysis on manifolds (58-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 46 Approximations and expansions (41-XX) 29 Operations research, mathematical programming (90-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Operator theory (47-XX) 26 Systems theory; control (93-XX) 24 Geophysics (86-XX) 23 Computer science (68-XX) 22 Biology and other natural sciences (92-XX) 21 Statistical mechanics, structure of matter (82-XX) 16 Differential geometry (53-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 11 Ordinary differential equations (34-XX) 10 Functional analysis (46-XX) 9 Potential theory (31-XX) 9 Integral equations (45-XX) 7 Quantum theory (81-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX)

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