-
1
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
Arnold D.N., Brezzi F., Cockburn B., Marini L.D. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 2001, 39(5):1749-1779.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, Issue.5
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, L.D.4
-
3
-
-
33748895877
-
An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equation
-
Bassi F., Crivellini A., Di Pietro D.A., Rebay S. An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equation. J. Comput. Phys. 2006, 218(2):794-815.
-
(2006)
J. Comput. Phys.
, vol.218
, Issue.2
, pp. 794-815
-
-
Bassi, F.1
Crivellini, A.2
Di Pietro, D.A.3
Rebay, S.4
-
4
-
-
33646417937
-
Hybridized globally divergence-free LDG methods. I. The Stokes problem
-
Carrero J., Cockburn B., Schötzau D. Hybridized globally divergence-free LDG methods. I. The Stokes problem. Math. Comput. 2006, 75:533-563.
-
(2006)
Math. Comput.
, vol.75
, pp. 533-563
-
-
Carrero, J.1
Cockburn, B.2
Schötzau, D.3
-
5
-
-
85174221297
-
Discontinuous Galerkin methods
-
Cockburn B. Discontinuous Galerkin methods. ZAMM Z. Angew. Math. Mech. 2003, 83:731-754.
-
(2003)
ZAMM Z. Angew. Math. Mech.
, vol.83
, pp. 731-754
-
-
Cockburn, B.1
-
6
-
-
85026258450
-
Discontinuous Galerkin Methods for Computational Fluid Dynamics
-
John Wiley & Sons, Ltd., England
-
Cockburn B. Discontinuous Galerkin Methods for Computational Fluid Dynamics. Encyclopedia of Computational Mechanics 2004, vol. 3:91-123. John Wiley & Sons, Ltd., England.
-
(2004)
Encyclopedia of Computational Mechanics
, vol.3
, pp. 91-123
-
-
Cockburn, B.1
-
7
-
-
57049094391
-
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
-
Cockburn B., Dong B., Guzmán J. A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems. Math. Comput. 2008, 77:1887-1916.
-
(2008)
Math. Comput.
, vol.77
, pp. 1887-1916
-
-
Cockburn, B.1
Dong, B.2
Guzmán, J.3
-
8
-
-
77957021648
-
Superconvergent and optimally convergent LDG-hybridizable discontinuous Galerkin methods for convection-diffusion-reaction problems
-
Cockburn B., Dong B., Guzmán J., Restelli M., Sacco R. Superconvergent and optimally convergent LDG-hybridizable discontinuous Galerkin methods for convection-diffusion-reaction problems. SIAM J. Sci. Comput. 2009, 31:3827-3846.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 3827-3846
-
-
Cockburn, B.1
Dong, B.2
Guzmán, J.3
Restelli, M.4
Sacco, R.5
-
9
-
-
33747150994
-
Incompressible finite elements via hybridization. Part I: the Stokes system in two space dimensions
-
Cockburn B., Gopalakrishnan J. Incompressible finite elements via hybridization. Part I: the Stokes system in two space dimensions. SIAM J. Numer. Anal. 2005, 43(4):1627-1650.
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, Issue.4
, pp. 1627-1650
-
-
Cockburn, B.1
Gopalakrishnan, J.2
-
10
-
-
33747172466
-
Incompressible finite elements via hybridization. Part II: the stokes system in three space dimensions
-
Cockburn B., Gopalakrishnan J. Incompressible finite elements via hybridization. Part II: the stokes system in three space dimensions. SIAM J. Numer. Anal. 2005, 43(4):1651-1672.
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, Issue.4
, pp. 1651-1672
-
-
Cockburn, B.1
Gopalakrishnan, J.2
-
11
-
-
73449138131
-
The derivation of hybridizable discontinuous Galerkin methods for Stokes flow
-
Cockburn B., Gopalakrishnan J. The derivation of hybridizable discontinuous Galerkin methods for Stokes flow. SIAM J. Numer. Anal. 2009, 47:1092-1125.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 1092-1125
-
-
Cockburn, B.1
Gopalakrishnan, J.2
-
12
-
-
77956561827
-
A new elasticity element made for enforcing weak stress symmetry
-
Cockburn B., Gopalakrishnan J., Guzmán J. A new elasticity element made for enforcing weak stress symmetry. Math. Comput. 2010, 79:1331-1349.
-
(2010)
Math. Comput.
, vol.79
, pp. 1331-1349
-
-
Cockburn, B.1
Gopalakrishnan, J.2
Guzmán, J.3
-
13
-
-
70349733642
-
Unified hybridization of discontinuous Galerkin, mixed and continuous Galerkin methods for second order elliptic problems
-
Cockburn B., Gopalakrishnan J., Lazarov R. Unified hybridization of discontinuous Galerkin, mixed and continuous Galerkin methods for second order elliptic problems. SIAM J. Numer. Anal. 2009, 47:1319-1365.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 1319-1365
-
-
Cockburn, B.1
Gopalakrishnan, J.2
Lazarov, R.3
-
14
-
-
85189839178
-
Analysis of an HDG method for Stokes flow
-
Posted on: 2nd September, PII S 0025-5718-2010-02410-X-1, in press.
-
B. Cockburn, J. Gopalakrishnan, N.C. Nguyen, J. Peraire, F.-J. Sayas, Analysis of an HDG method for Stokes flow, Math. Comput. Posted on: 2nd September, 2010. PII S 0025-5718-2010-02410-X-1, in press.
-
(2010)
Math. Comput.
-
-
Cockburn, B.1
Gopalakrishnan, J.2
Nguyen, N.C.3
Peraire, J.4
Sayas, F.-J.5
-
16
-
-
77957020121
-
An analysis of the embedded discontinuous Galerkin method for second-order elliptic problems
-
Cockburn B., Guzmán J., Soon S.-C., Stolarski H.K. An analysis of the embedded discontinuous Galerkin method for second-order elliptic problems. SIAM J. Numer. Anal. 2009, 47:2686-2707.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 2686-2707
-
-
Cockburn, B.1
Guzmán, J.2
Soon, S.-C.3
Stolarski, H.K.4
-
17
-
-
58149269239
-
Superconvergent discontinuous Galerkin methods for second-order elliptic problems
-
Cockburn B., Guzmán J., Wang H. Superconvergent discontinuous Galerkin methods for second-order elliptic problems. Math. Comput. 2009, 78:1-24.
-
(2009)
Math. Comput.
, vol.78
, pp. 1-24
-
-
Cockburn, B.1
Guzmán, J.2
Wang, H.3
-
18
-
-
21644481738
-
A locally conservative LDG method for the incompressible Navier-Stokes equations
-
Cockburn B., Kanschat G., Schötzau D. A locally conservative LDG method for the incompressible Navier-Stokes equations. Math. Comput. 2005, 74:1067-1095.
-
(2005)
Math. Comput.
, vol.74
, pp. 1067-1095
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
-
19
-
-
34247389618
-
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
-
Cockburn B., Kanschat G., Schötzau D. A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. J. Sci. Comput. 2007, 31:61-73.
-
(2007)
J. Sci. Comput.
, vol.31
, pp. 61-73
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
-
20
-
-
0036556541
-
Local discontinuous Galerkin methods for the Stokes system
-
Cockburn B., Kanschat G., Schötzau D., Schwab C. Local discontinuous Galerkin methods for the Stokes system. SIAM J. Numer. Anal. 2002, 40(1):319-343.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, Issue.1
, pp. 319-343
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
Schwab, C.4
-
21
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
-
Cockburn B., Shu C.-W. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 2001, 16:173-261.
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
22
-
-
0000861390
-
Laminar flow over a downstream-facing step in a two-dimensional flow channel
-
Denham M.K., Patrick M.A. Laminar flow over a downstream-facing step in a two-dimensional flow channel. Trans. Inst. Chem. Eng. 1974, 52:361-367.
-
(1974)
Trans. Inst. Chem. Eng.
, vol.52
, pp. 361-367
-
-
Denham, M.K.1
Patrick, M.A.2
-
23
-
-
0003650459
-
Augmented Lagrangian methods
-
North-Holland Publishing Co., Amsterdam, (Applications to the numerical solution of boundary value problems. Translated from the French by B. Hunt and D.C. Spicer)
-
Fortin M., Glowinski R. Augmented Lagrangian methods. Studies in Mathematics and its Applications 1983, vol. 15. North-Holland Publishing Co., Amsterdam, (Applications to the numerical solution of boundary value problems. Translated from the French by B. Hunt and D.C. Spicer).
-
(1983)
Studies in Mathematics and its Applications
, vol.15
-
-
Fortin, M.1
Glowinski, R.2
-
24
-
-
0032648581
-
Stability of multiple steady states of convection in laterally heated cavities
-
Gelfgat A.Yu., Bar-Yoseph P.Z., Yarin A.L. Stability of multiple steady states of convection in laterally heated cavities. J. Fluid Mech. 1999, 388:315-334.
-
(1999)
J. Fluid Mech.
, vol.388
, pp. 315-334
-
-
Gelfgat, A.Y.1
Bar-Yoseph, P.Z.2
Yarin, A.L.3
-
25
-
-
49049143188
-
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
-
Ghia U., Ghia K.N., Shin C.T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 1982, 48:387-411.
-
(1982)
J. Comput. Phys.
, vol.48
, pp. 387-411
-
-
Ghia, U.1
Ghia, K.N.2
Shin, C.T.3
-
26
-
-
34249338763
-
The embedded discontinuous Galerkin methods: application to linear shells problems
-
Güzey S., Cockburn B., Stolarski H. The embedded discontinuous Galerkin methods: application to linear shells problems. Int. J. Numer. Meth. Eng. 2007, 70:757-790.
-
(2007)
Int. J. Numer. Meth. Eng.
, vol.70
, pp. 757-790
-
-
Güzey, S.1
Cockburn, B.2
Stolarski, H.3
-
27
-
-
33644584742
-
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method
-
Hughes T.J.R., Scovazzi G., Bochev P., Buffa A. A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Comput. Meth. Appl. Mech. Eng. 2006, 195:2761-2787.
-
(2006)
Comput. Meth. Appl. Mech. Eng.
, vol.195
, pp. 2761-2787
-
-
Hughes, T.J.R.1
Scovazzi, G.2
Bochev, P.3
Buffa, A.4
-
28
-
-
0001408252
-
A nonconforming finite element method for the stationary Navier-Stokes equations
-
Karakashian O.A., Jureidini W.N. A nonconforming finite element method for the stationary Navier-Stokes equations. SIAM J. Numer. Anal. 1998, 35:93-120.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 93-120
-
-
Karakashian, O.A.1
Jureidini, W.N.2
-
29
-
-
33646409530
-
A discontinuous Galerkin method for the incompressible Navier-Stokes equations
-
Springer Verlag, Berlin, B. Cockburn, G.E. Karniadakis, C.-W. Shu (Eds.) Discontinuous Galerkin Methods. Theory, Computation and Applications
-
Karakashian O.A., Katsaounis T. A discontinuous Galerkin method for the incompressible Navier-Stokes equations. Lect. Notes Comput. Sci. Eng. 2000, vol. 11:157-166. Springer Verlag, Berlin. B. Cockburn, G.E. Karniadakis, C.-W. Shu (Eds.).
-
(2000)
Lect. Notes Comput. Sci. Eng.
, vol.11
, pp. 157-166
-
-
Karakashian, O.A.1
Katsaounis, T.2
-
30
-
-
33846345393
-
Laminar flow behind two-dimensional grid
-
Kovasznay L.I.G. Laminar flow behind two-dimensional grid. Proc. Cambridge Philos. Soc. 1948, 44:58-62.
-
(1948)
Proc. Cambridge Philos. Soc.
, vol.44
, pp. 58-62
-
-
Kovasznay, L.I.G.1
-
31
-
-
34548705905
-
A Galerkin interface stabilisation method for the advection-diffusion and incompressible Navier-Stokes equations
-
Labeur R.J., Wells G.N. A Galerkin interface stabilisation method for the advection-diffusion and incompressible Navier-Stokes equations. Comput. Meth. Appl. Mech. Eng. 2007, 196:4985-5000.
-
(2007)
Comput. Meth. Appl. Mech. Eng.
, vol.196
, pp. 4985-5000
-
-
Labeur, R.J.1
Wells, G.N.2
-
32
-
-
0001679923
-
A high-order discontinuous Galerkin method for 2D incompressible flows
-
Liu J.-G., Shu C.-W. A high-order discontinuous Galerkin method for 2D incompressible flows. J. Comput. Phys. 2000, 160:577-596.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 577-596
-
-
Liu, J.-G.1
Shu, C.-W.2
-
33
-
-
48549092281
-
Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations Internat
-
Montlaur A., Fernández-Méndez S., Huerta A. Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations Internat. J. Numer. Meth. Fluids 2008, 57:1071-1092.
-
(2008)
J. Numer. Meth. Fluids
, vol.57
, pp. 1071-1092
-
-
Montlaur, A.1
Fernández-Méndez, S.2
Huerta, A.3
-
34
-
-
77956915131
-
-
approximations Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal
-
Montlaur A., Fernández-Méndez S., Peraire J., Huerta A., approximations Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal I. nt. J. Numer. Meth. Fluids 2010, 64:549-564.
-
(2010)
nt. J. Numer. Meth. Fluids
, vol.64
, pp. 549-564
-
-
Montlaur, A.1
Fernández-Méndez, S.2
Peraire, J.3
Huerta, A.4
-
35
-
-
34250256485
-
Mixed finite elements in R3
-
Nédélec J.-C. Mixed finite elements in R3. Numer. Math. 1980, 35:315-341.
-
(1980)
Numer. Math.
, vol.35
, pp. 315-341
-
-
Nédélec, J.-C.1
-
36
-
-
34250103285
-
A new family of mixed finite elements in R3
-
Nédélec J.-C. A new family of mixed finite elements in R3. Numer. Math. 1986, 50:57-81.
-
(1986)
Numer. Math.
, vol.50
, pp. 57-81
-
-
Nédélec, J.-C.1
-
37
-
-
62049083456
-
An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
-
Nguyen N.C., Peraire J., Cockburn B. An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. J. Comput. Phys. 2009, 228:3232-3254.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 3232-3254
-
-
Nguyen, N.C.1
Peraire, J.2
Cockburn, B.3
-
38
-
-
70349728768
-
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
-
Nguyen N.C., Peraire J., Cockburn B. An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. J. Comput. Phys. 2009, 228:8841-8855.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 8841-8855
-
-
Nguyen, N.C.1
Peraire, J.2
Cockburn, B.3
-
41
-
-
78650605357
-
Hybridizable discontinuous Galerkin methods
-
Norway, June , Lecture Notes in Computational Science and Engineering.
-
N.C. Nguyen, J. Peraire, B. Cockburn, Hybridizable discontinuous Galerkin methods, in: Proceedings of the International Conference on Spectral and High Order Methods, Trondheim, Norway, June 2009, Lecture Notes in Computational Science and Engineering, 76 (2011) 63-84.
-
(2009)
Proceedings of the International Conference on Spectral and High Order Methods, Trondheim
, vol.76
, Issue.2011
, pp. 63-84
-
-
Nguyen, N.C.1
Peraire, J.2
Cockburn, B.3
-
42
-
-
48549109395
-
A spectral element method for fluid dynamics: laminar flow in a channel expansion
-
Patera A.T. A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 1984, 54:468-488.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 468-488
-
-
Patera, A.T.1
-
43
-
-
85189838570
-
-
A hybridizable discontinuous Galerkin method for the compressible Euler and Navier-Stokes equations (AIAA Paper 2010-363), in: Proceedings of the 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, Florida, January
-
J. Peraire, N.C. Nguyen, B. Cockburn, A hybridizable discontinuous Galerkin method for the compressible Euler and Navier-Stokes equations (AIAA Paper 2010-363), in: Proceedings of the 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, Florida, January 2010.
-
(2010)
-
-
Peraire, J.1
Nguyen, N.C.2
Cockburn, B.3
-
44
-
-
33846837197
-
A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations
-
Shahbazi K., F Fischer P., Ethier C.R. A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations. J. Comput. Phys. 2007, 222:391-407.
-
(2007)
J. Comput. Phys.
, vol.222
, pp. 391-407
-
-
Shahbazi, K.1
F Fischer, P.2
Ethier, C.R.3
-
45
-
-
70350430665
-
A hybridizable discontinuous Galerkin method for linear elasticity Internat
-
Soon S.-C., Cockburn B., Stolarski H.K. A hybridizable discontinuous Galerkin method for linear elasticity Internat. J. Numer. Meth. Eng. 2009, 80:1058-1092.
-
(2009)
J. Numer. Meth. Eng.
, vol.80
, pp. 1058-1092
-
-
Soon, S.-C.1
Cockburn, B.2
Stolarski, H.K.3
-
47
-
-
46949090921
-
New finite element methods in computational fluid dynamics by H(div) elements
-
Wang J., Ye X. New finite element methods in computational fluid dynamics by H(div) elements. SIAM J. Numer. Anal. 2007, 45:1269-1286.
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 1269-1286
-
-
Wang, J.1
Ye, X.2
-
48
-
-
45949106354
-
Finite element methods for the Navier-Stokes equations by H(div) elements
-
Wang J., Wang X., Ye X. Finite element methods for the Navier-Stokes equations by H(div) elements. J. Comput. Math. 2008, 26:410-436.
-
(2008)
J. Comput. Math.
, vol.26
, pp. 410-436
-
-
Wang, J.1
Wang, X.2
Ye, X.3
-
49
-
-
68149169611
-
A robust numerical method for Stokes equations based on divergence-free H(div) finite element methods
-
Wang J., Wang X., Ye X. A robust numerical method for Stokes equations based on divergence-free H(div) finite element methods. SIAM J. Sci. Comput. 2009, 31:2784-2802.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 2784-2802
-
-
Wang, J.1
Wang, X.2
Ye, X.3
|