-
1
-
-
0001163226
-
An interior penalty finite element method with discontinuous elements
-
D. N. ARNOLD, An interior penalty finite element method with discontinuous elements, SIAM J. Numer. Anal., 19 (1982), pp. 742-760.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 742-760
-
-
Arnold, D.N.1
-
2
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
D. N. ARNOLD, F. BREZZI, B. COCKBURN, AND L. D. MARINI, Unified analysis of discontinuous Galerkin methods for elliptic problems, SIAM J. Numer. Anal., 39 (2001), pp. 1749-1779.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, L.D.4
-
4
-
-
0009618131
-
-
Preprint 43, SFB 359, Ruprecht-Karls University, Heidelberg
-
W. BANGERTH AND G. KANSCHAT, Concepts for Object-Oriented Finite Element Software - the deal.II Library, Preprint 43, SFB 359, Ruprecht-Karls University, Heidelberg, 1999. Available online at http://www.iwr.uni-heidelberg.de/sfb/ Preprints1999.html
-
(1999)
Concepts for Object-Oriented Finite Element Software - The Deal.II Library
-
-
Bangerth, W.1
Kanschat, G.2
-
5
-
-
0001416032
-
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
-
F. BASSI AND S. REBAY, A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations, J. Comput. Phys., 131 (1997), pp. 267-279.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 267-279
-
-
Bassi, F.1
Rebay, S.2
-
6
-
-
0004219794
-
Multigrid methods
-
Longman Scientific, Harlow, UK
-
J. H. BRAMBLE, Multigrid Methods, Pitman Res. Notes Math. Ser. 294, Longman Scientific, Harlow, UK, 1993.
-
(1993)
Pitman Res. Notes Math. Ser.
, vol.294
-
-
Bramble, J.H.1
-
7
-
-
0037252566
-
Performance of discontinuous Galerkin methods for elliptic PDEs
-
P. CASTILLO, Performance of discontinuous Galerkin methods for elliptic PDEs, SIAM J. Sci. Comput., 24 (2002), pp. 524-547.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 524-547
-
-
Castillo, P.1
-
8
-
-
0012778473
-
-
Ph.D. thesis, University of Minnesota, Minneapolis, MN
-
P. CASTILLO, Local Discontinuous Galerkin Methods for Convection-Diffusion and Elliptic Problems, Ph.D. thesis, University of Minnesota, Minneapolis, MN, 2001.
-
(2001)
Local Discontinuous Galerkin Methods for Convection-Diffusion and Elliptic Problems
-
-
Castillo, P.1
-
9
-
-
0034548629
-
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
-
P. CASTILLO, B. COCKBURN, I. PERUGIA, AND D. SCHÖTZAU, An a priori error analysis of the local discontinuous Galerkin method for elliptic problems, SIAM J. Numer. Anal., 38 (2000), pp. 1676-1706.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1676-1706
-
-
Castillo, P.1
Cockburn, B.2
Perugia, I.3
Schötzau, D.4
-
10
-
-
0036013520
-
An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
-
P. CASTILLO, B. COCKBURN, D. SCHÖTZAU, AND C. SCHWAB, An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems, Math. Comput., 71 (2002), pp. 455-478.
-
(2002)
Math. Comput.
, vol.71
, pp. 455-478
-
-
Castillo, P.1
Cockburn, B.2
Schötzau, D.3
Schwab, C.4
-
11
-
-
0035734429
-
Superconvergence of the local discontinuous Galerkin method for elliptic problems on cartesian grids
-
B. COCKBURN, G. KANSCHAT, I. PERUGIA, AND D. SCHÖTZAU, Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids, SIAM J. Numer. Anal., 39 (2001), pp. 264-285.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 264-285
-
-
Cockburn, B.1
Kanschat, G.2
Perugia, I.3
Schötzau, D.4
-
12
-
-
2942604564
-
LDG methods for Stokes flow problems
-
F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, eds., Springer Italia, Milan
-
B. COCKBURN, G. KANSCHAT, AND D. SCHÖTZAU, LDG methods for Stokes flow problems, in Numerical Mathematics and Advanced Applications (ENUMATH 2001), F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, eds., Springer Italia, Milan, 2003, pp. 755-764.
-
(2003)
Numerical Mathematics and Advanced Applications (ENUMATH 2001)
, pp. 755-764
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
-
13
-
-
4043055624
-
The local discontinuous Galerkin method for the Oseen equations
-
to appear
-
B. COCKBURN, G. KANSCHAT, AND D. SCHÖTZAU, The local discontinuous Galerkin method for the Oseen equations, Math. Comput., to appear.
-
Math. Comput.
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
-
14
-
-
0036556541
-
Local discontinuous Galerkin methods for the stokes system
-
B. COCKBURN, G. KANSCHAT, D. SCHÖTZAU, AND C. SCHWAB, Local discontinuous Galerkin methods for the Stokes system, SIAM J. Numer. Anal., 40 (2002), pp. 319-343.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 319-343
-
-
Cockburn, B.1
Kanschat, G.2
Schötzau, D.3
Schwab, C.4
-
15
-
-
0003979117
-
The development of discontinuous Galerkin methods
-
B. Cockburn, G. E. Karniadakis, and C.-W. Shu, eds., Springer, Berlin
-
B. COCKBURN, G. E. KARNIADAKIS, AND C.-W. SHU, The development of discontinuous Galerkin methods, in Discontinuous Galerkin Methods, B. Cockburn, G. E. Karniadakis, and C.-W. Shu, eds., Springer, Berlin, 2000, pp. 3-50.
-
(2000)
Discontinuous Galerkin Methods
, pp. 3-50
-
-
Cockburn, B.1
Karniadakis, G.E.2
Shu, C.-W.3
-
16
-
-
0003979117
-
Discontinuous Galerkin methods
-
Springer, Berlin
-
B. COCKBURN, G. E. KARNIADAKIS, AND C.-W. SHU, EDS., Discontinuous Galerkin Methods, Lecture Notes in Comput. Sci. Engrg. 11, Springer, Berlin, 2000.
-
(2000)
Lecture Notes in Comput. Sci. Engrg.
, vol.11
-
-
Cockburn, B.1
Karniadakis, G.E.2
Shu, C.-W.3
-
17
-
-
0344393366
-
The local discontinuous Galerkin method for time-dependent convection-diffusion systems
-
B. COCKBURN AND C.-W. SHU, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal., 35 (1998), pp. 2440-2463.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.-W.2
-
18
-
-
0036003235
-
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
-
H. C. ELMAN, D. J. SILVESTER, AND A. J. WATHEN, Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations, Numer. Math., 90 (2002), pp. 665-688.
-
(2002)
Numer. Math.
, vol.90
, pp. 665-688
-
-
Elman, H.C.1
Silvester, D.J.2
Wathen, A.J.3
-
19
-
-
0041419444
-
Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems
-
X. FENG AND O. A. KARAKASHIAN, Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems, SIAM J. Numer. Anal., 39 (2001), pp. 1343-1365.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1343-1365
-
-
Feng, X.1
Karakashian, O.A.2
-
20
-
-
0345060037
-
A multilevel discontinuous Galerkin method
-
J. GOPALAKRISHNAN AND G. KANSCHAT, A multilevel discontinuous Galerkin method, Numer. Math., 95 (2003), pp. 527-550.
-
(2003)
Numer. Math.
, vol.95
, pp. 527-550
-
-
Gopalakrishnan, J.1
Kanschat, G.2
-
21
-
-
2942610848
-
Multi-level preconditioners for the interior penalty method
-
F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, eds., Springer Italia, Milan
-
J. GOPALAKRISHNAN AND G. KANSCHAT, Multi-level preconditioners for the interior penalty method, in Numerical Mathematics and Advanced Applications (ENUMATH 2001), F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, eds., Springer Italia, Milan, 2003, pp. 795-804.
-
(2003)
Numerical Mathematics and Advanced Applications (ENUMATH 2001)
, pp. 795-804
-
-
Gopalakrishnan, J.1
Kanschat, G.2
-
22
-
-
85160628241
-
Practical aspects of multilevel preconditioned for discontinuous Galerkin methods with local refinement
-
SFB 359, Ruprecht-Karls University, Heidelberg, in preparation
-
G. KANSCHAT, Practical Aspects of Multilevel Preconditioned for Discontinuous Galerkin Methods with Local Refinement, Technical report, SFB 359, Ruprecht-Karls University, Heidelberg, in preparation.
-
Technical Report
-
-
Kanschat, G.1
-
23
-
-
0036992402
-
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
-
G. KANSCHAT AND R. RANNACHER, Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems, J. Numer. Math., 10 (2002), pp. 249-274.
-
(2002)
J. Numer. Math.
, vol.10
, pp. 249-274
-
-
Kanschat, G.1
Rannacher, R.2
-
24
-
-
11744250187
-
Block-triangular preconditioners for saddle point problems with a penalty term
-
A. KLAWONN, Block-triangular preconditioners for saddle point problems with a penalty term, SIAM J. Sci. Comput., 19 (1998), pp. 172-184.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 172-184
-
-
Klawonn, A.1
-
25
-
-
35048849954
-
Overlapping preconditioners for discontinuous Galerkin approximations of second order problems
-
N. Debit, M. Garbey, R. H. W. Hoppe, J. Périaux, D. Keyes, and Y. A. Kuznetsov, eds., DDM.org
-
C. LASSER AND A. TOSELLI, Overlapping preconditioners for discontinuous Galerkin approximations of second order problems, in Proceedings of the Thirteenth International Conference on Domain Decomposition Methods, N. Debit, M. Garbey, R. H. W. Hoppe, J. Périaux, D. Keyes, and Y. A. Kuznetsov, eds., DDM.org, 2001. Available online at http://ddm.org/DD13/homepage/
-
(2001)
Proceedings of the Thirteenth International Conference on Domain Decomposition Methods
-
-
Lasser, C.1
Toselli, A.2
-
26
-
-
0034497397
-
A note on preconditioning for indefinite linear systems
-
M. F. MURPHY, G. H. GOLUB, AND A. J. WATHEN, A note on preconditioning for indefinite linear systems, SIAM J. Sci. Comput., 21 (2000), pp. 1969-1972.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1969-1972
-
-
Murphy, M.F.1
Golub, G.H.2
Wathen, A.J.3
-
28
-
-
0000802762
-
An elliptic collocation-finite element method with interior penalties
-
M. F. WHEELER, An elliptic collocation-finite element method with interior penalties, SIAM J. Numer. Anal., 15 (1978), pp. 152-161.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 152-161
-
-
Wheeler, M.F.1
|