-
1
-
-
0034386185
-
Multigrid in H (div) and H (curl)
-
D. N. ARNOLD, R. S. FALK, AND R. WINTHER, Multigrid in H (div) and H (curl), Numer. Math., 85(2000), pp. 197-217.
-
(2000)
Numer. Math.
, vol.85
, pp. 197-217
-
-
Arnold, D.N.1
Falk, R.S.2
Winther, R.3
-
2
-
-
34548277425
-
Deal. II-A general-purpose object-oriented finite element library
-
W. BANGERTH, R. HARTMANN, AND G. KANSCHAT, deal. II-A general-purpose object-oriented finite element library, ACM Trans. Math. Software, 33(2007), 24.
-
(2007)
ACM Trans. Math. Software
, vol.33
, pp. 24
-
-
Bangerth, W.1
Hartmann, R.2
Kanschat, G.3
-
4
-
-
67649261504
-
Data structures and requirements for hp finite element software
-
W. BANGERTH AND O. KAYSER-HEROLD, Data structures and requirements for hp finite element software, ACM Trans. Math. Software, 36(2009), 4.
-
(2009)
ACM Trans. Math. Software
, vol.36
, pp. 4
-
-
Bangerth, W.1
Kayser-Herold, O.2
-
7
-
-
0012065009
-
Load balancing for adaptive multigrid methods
-
PII S1064827596297562
-
P. BASTIAN, Load balancing for adaptive multigrid methods, SIAM J. Sci. Comput., 19(1998), pp. 1303-1321. (Pubitemid 128616143)
-
(1998)
SIAM Journal of Scientific Computing
, vol.19
, Issue.4
, pp. 1303-1321
-
-
Bastian, P.1
-
8
-
-
33750825596
-
Multigrid methods on adaptively refined grids
-
DOI 10.1109/MCSE.2006.116, 1717314
-
P. BASTIAN AND C. WIENERS, Multigrid methods on adaptively refined grids, Comput. Sci. Eng., 8(2006), pp. 44-54. (Pubitemid 44711776)
-
(2006)
Computing in Science and Engineering
, vol.8
, Issue.6
, pp. 44-54
-
-
Bastian, P.1
Wieners, C.2
-
9
-
-
0034421041
-
Residual based a posteriori error estimators for eddy current computation
-
R. BECK, R. HIPTMAIR, R. H. W. HOPPE, AND B. WOHLMUTH, Residual based a posteriori error estimators for eddy current computation, M2AN Math. Model. Numer. Anal., 34(2000), pp. 159-182.
-
(2000)
M2AN Math. Model. Numer. Anal.
, vol.34
, pp. 159-182
-
-
Beck, R.1
Hiptmair, R.2
Hoppe, R.H.W.3
Wohlmuth, B.4
-
10
-
-
0442298658
-
Multigrid techniques for finite elements on locally refined meshes
-
R. BECKER AND M. BRAACK, Multigrid techniques for finite elements on locally refined meshes, Numer. Linear Algebra Appl., 7(2000), pp. 363-379.
-
(2000)
Numer. Linear Algebra Appl.
, vol.7
, pp. 363-379
-
-
Becker, R.1
Braack, M.2
-
11
-
-
0347432609
-
Parallel multigrid on Cartesian meshes with complex geometry
-
North-Holland, Amsterdam
-
M. BERGER, M. AFTOSMIS, AND G. ADOMAVICIUS, Parallel multigrid on Cartesian meshes with complex geometry, in Parallel Computational Fluid Dynamics (Trondheim, 2000), North-Holland, Amsterdam, 2001, pp. 283-290.
-
(2001)
Parallel Computational Fluid Dynamics (Trondheim, 2000)
, pp. 283-290
-
-
Berger, M.1
Aftosmis, M.2
Adomavicius, G.3
-
12
-
-
80052755428
-
A local adaptive refinement method with multigrid preconditioning illustrated by multiphase flows simulations
-
available online at
-
F. BOYER, C. LAPUERTA, S. MINJEAUD, AND B. PIAR, A Local Adaptive Refinement Method with Multigrid Preconditioning Illustrated by Multiphase Flows Simulations, Technical report, 2008; available online at http://hal.archives- ouvertes.fr/hal-00307186.
-
(2008)
Technical Report
-
-
Boyer, F.1
Lapuerta, C.2
Minjeaud, S.3
Piar, B.4
-
13
-
-
0003320310
-
Multigrid methods
-
Longman Scientific & Technical, Harlow, UK
-
J. H. BRAMBLE, Multigrid Methods, Pitman Res. Notes Math. Ser. 294, Longman Scientific & Technical, Harlow, UK, 1993.
-
(1993)
Pitman Res. Notes Math. Ser.
, vol.294
-
-
Bramble, J.H.1
-
14
-
-
84966234195
-
Parallel multilevel preconditioners
-
J. H. BRAMBLE, J. E. PASCIAK, AND J. XU, Parallel multilevel preconditioners, Math. Comp., 55(1990), pp. 1-22.
-
(1990)
Math. Comp.
, vol.55
, pp. 1-22
-
-
Bramble, J.H.1
Pasciak, J.E.2
Xu, J.3
-
15
-
-
84966233568
-
Multi-level adaptive solutions to boundary-value problems
-
A. BRANDT, Multi-level adaptive solutions to boundary-value problems, Math. Comp., 31(1977), pp. 333-390.
-
(1977)
Math. Comp.
, vol.31
, pp. 333-390
-
-
Brandt, A.1
-
17
-
-
54249162100
-
Quasi-optimal convergence rate for an adaptive finite element method
-
J. M. CASCON, C. KREUZER, R. H. NOCHETTO, AND K. G. SIEBERT, Quasi-optimal convergence rate for an adaptive finite element method, SIAM J. Numer. Anal., 46(2008), pp. 2524-2550.
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, pp. 2524-2550
-
-
Cascon, J.M.1
Kreuzer, C.2
Nochetto, R.H.3
Siebert, K.G.4
-
18
-
-
0003560721
-
-
North-Holland, Amsterdam, New York, Oxford
-
P. G. CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, New York, Oxford, 1978.
-
(1978)
The Finite Element Method for Elliptic Problems
-
-
Ciarlet, P.G.1
-
19
-
-
23044520442
-
Multiscale decompositions on bounded domains
-
A. COHEN, W. DAHMEN, AND R. DEVORE, Multiscale decompositions on bounded domains, Trans. Amer. Math. Soc., 352(2000), pp. 3651-3685.
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 3651-3685
-
-
Cohen, A.1
Dahmen, W.2
DeVore, R.3
-
20
-
-
0035606214
-
Adaptive wavelet methods for elliptic operator equations: Convergence rates
-
A. COHEN, W. DAHMEN, AND R. DEVORE, Adaptive wavelet methods for elliptic operator equations: Convergence rates, Math. Comp., 70(2001), pp. 27-75. (Pubitemid 33574336)
-
(2001)
Mathematics of Computation
, vol.70
, Issue.233
, pp. 27-75
-
-
Cohen, A.1
Dahmen, W.2
Devore, R.3
-
21
-
-
1542639888
-
A convergent adaptive algorithm for Poisson's equation
-
W. DÖRFLER, A convergent adaptive algorithm for Poisson's equation, SIAM J. Numer. Anal., 33(1996), pp. 1106-1124. (Pubitemid 126423840)
-
(1996)
SIAM Journal on Numerical Analysis
, vol.33
, Issue.3
, pp. 1106-1124
-
-
Dorfler, W.1
-
22
-
-
21844511143
-
On the abstract theory of additive and multiplicative Schwarz algorithms
-
M. GRIEBEL AND P. OSWALD, On the abstract theory of additive and multiplicative Schwarz algorithms, Numer. Math., 70(1995), pp. 163-180.
-
(1995)
Numer. Math.
, vol.70
, pp. 163-180
-
-
Griebel, M.1
Oswald, P.2
-
24
-
-
0000626839
-
Multigrid method for Maxwell's equations
-
R. HIPTMAIR, Multigrid method for Maxwell's equations, SIAM J. Numer. Anal., 36(1998), pp. 204-225.
-
(1998)
SIAM J. Numer. Anal.
, vol.36
, pp. 204-225
-
-
Hiptmair, R.1
-
25
-
-
70249144702
-
Local multigrid in H (curl)
-
R. HIPTMAIR AND W. ZHENG, Local multigrid in H (curl), J. Comput. Math., 27(2009), pp. 573-603.
-
(2009)
J. Comput. Math.
, vol.27
, pp. 573-603
-
-
Hiptmair, R.1
Zheng, W.2
-
26
-
-
0036044675
-
Non-nested multi-level solvers for finite element discretisations of mixed problems
-
V. JOHN, P. KNOBLOCH, G. MATTHIES, AND L. TOBISKA, Non-nested multi-level solvers for finite element discretisations of mixed problems, Computing, 68(2002), pp. 313-341.
-
(2002)
Computing
, vol.68
, pp. 313-341
-
-
John, V.1
Knobloch, P.2
Matthies, G.3
Tobiska, L.4
-
27
-
-
80052778669
-
-
Dissertation, The University of Leeds, Leeds, UK
-
A. C. JONES, A Projected Multigrid Method for the Solution of Nonlinear Finite Element Problems on Adaptively Refined Grids, Dissertation, The University of Leeds, Leeds, UK, 2005.
-
(2005)
A Projected Multigrid Method for the Solution of Nonlinear Finite Element Problems on Adaptively Refined Grids
-
-
Jones, A.C.1
-
28
-
-
16244415211
-
An adaptive multigrid tool for elliptic and parabolic systems
-
DOI 10.1002/fld.845, 8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 2
-
A. C. JONES AND P. K. JIMACK, An adaptive multigrid tool for elliptic and parabolic systems, Internat. J. Numer. Methods Fluids, 47(2005), pp. 1123-1128. (Pubitemid 40464877)
-
(2005)
International Journal for Numerical Methods in Fluids
, vol.47
, Issue.10-11
, pp. 1123-1128
-
-
Jones, A.C.1
Jimack, P.K.2
-
29
-
-
0003762416
-
-
Dissertation preprint SFB 359, 1996-29, Universitat Heidelberg, Heidelberg, Germany
-
G. KANSCHAT, Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems, Dissertation (preprint SFB 359, 1996-29), Universitat Heidelberg, Heidelberg, Germany, 1996.
-
(1996)
Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems
-
-
Kanschat, G.1
-
30
-
-
4944249121
-
Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
-
G. KANSCHAT, Multi-level methods for discontinuous Galerkin FEM on locally refined meshes, Comput. & Structures, 82(2004), pp. 2437-2445.
-
(2004)
Comput. & Structures
, vol.82
, pp. 2437-2445
-
-
Kanschat, G.1
-
31
-
-
0003318740
-
Multilevel adaptive methods for partial differential equations
-
SIAM, Philadelphia
-
S. F. MCCORMICK, Multilevel Adaptive Methods for Partial Differential Equations, Frontiers Appl. Math. 6, SIAM, Philadelphia, 1989.
-
(1989)
Frontiers Appl. Math.
, vol.6
-
-
McCormick, S.F.1
-
32
-
-
38049130877
-
Parallel adaptive multilevel methods with full domain partitions
-
W. F. MITCHELL, Parallel adaptive multilevel methods with full domain partitions, Appl. Numer. Anal. Comput. Math., 1(2004), pp. 36-48.
-
(2004)
Appl. Numer. Anal. Comput. Math.
, vol.1
, pp. 36-48
-
-
Mitchell, W.F.1
-
33
-
-
34250256485
-
Mixed finite elements in R
-
J.-C. NÉDÉLEC, Mixed finite elements in R, Numer. Math., 35(1980), pp. 315-341.
-
(1980)
Numer. Math.
, vol.35
, pp. 315-341
-
-
Nédélec, J.-C.1
-
34
-
-
0021488801
-
Design and data structure of fully adaptive, multigrid, finite-element software
-
M.-C. RIVARA, Design and data structure of fully adaptive, multigrid, finite-element software, ACM Trans. Math. Software, 10(1984), pp. 242-264.
-
(1984)
ACM Trans. Math. Software
, vol.10
, pp. 242-264
-
-
Rivara, M.-C.1
-
35
-
-
0003331891
-
Mathematical and computational techniques for multilevel adaptive methods
-
SIAM, Philadelphia
-
U. RÜDE, Mathematical and Computational Techniques for Multilevel Adaptive Methods, Frontiers Appl. Math. 13, SIAM, Philadelphia, 1993.
-
(1993)
Frontiers Appl. Math.
, vol.13
-
-
Rüde, U.1
-
37
-
-
77953819086
-
A parallel geometric multigrid method for finite elements on octree meshes
-
R. S. SAMPATH AND G. BIROS, A parallel geometric multigrid method for finite elements on octree meshes, SIAM J. Sci. Comput., 32(2010), pp. 1361-1392.
-
(2010)
SIAM J. Sci. Comput.
, vol.32
, pp. 1361-1392
-
-
Sampath, R.S.1
Biros, G.2
-
38
-
-
27144549033
-
Design of adaptive finite element software. The finite element toolbox ALBERTA
-
Springer-Verlag, Berlin
-
A. SCHMIDT AND K. SIEBERT, Design of Adaptive Finite Element Software. The Finite Element Toolbox ALBERTA, Lect. Notes Comput. Sci. Eng. 42, Springer-Verlag, Berlin, 2005.
-
(2005)
Lect. Notes Comput. Sci. Eng.
, vol.42
-
-
Schmidt, A.1
Siebert, K.2
-
39
-
-
37849008769
-
Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements
-
J. SCHÖBERL, J. M. MELENK, C. PECHSTEIN, AND S. ZAGLMAYR, Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements, IMA J. Numer. Anal., 28(2008), pp. 1-24.
-
(2008)
IMA J. Numer. Anal.
, vol.28
, pp. 1-24
-
-
Schöberl, J.1
Melenk, J.M.2
Pechstein, C.3
Zaglmayr, S.4
-
40
-
-
38749111846
-
Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM
-
DOI 10.1016/j.matcom.2007.02.011, PII S0378475407001504
-
P. SOLÍN, J. CERVENÝ, AND I. DOLEŽEL, Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM, Math. Comput. Simulation, 77(2008), pp. 117-132. (Pubitemid 351181369)
-
(2008)
Mathematics and Computers in Simulation
, vol.77
, Issue.1
, pp. 117-132
-
-
Solin, P.1
Cerveny, J.2
Dolezel, I.3
-
41
-
-
0004239925
-
-
Academic Press, London
-
U. TROTTENBERG, C. W. OOSTERLEE, AND A. SCHÜLLER, Multigrid, Academic Press, London, 2001.
-
(2001)
Multigrid
-
-
Trottenberg, U.1
Oosterlee, C.W.2
Schüller, A.3
-
42
-
-
0003943048
-
-
2nd ed., Springer Ser. Comput. Math, Springer-Verlag, Berlin
-
R. S. VARGA, Matrix Iterative Analysis, 2nd ed., Springer Ser. Comput. Math. 27, Springer-Verlag, Berlin, 2000.
-
(2000)
Matrix Iterative Analysis
, vol.27
-
-
Varga, R.S.1
-
44
-
-
0000570696
-
Iterative methods by space decomposition and subspace correction
-
J. XU, Iterative methods by space decomposition and subspace correction, SIAM Rev., 34(1992), pp. 581-613.
-
(1992)
SIAM Rev.
, vol.34
, pp. 581-613
-
-
Xu, J.1
-
45
-
-
34250126304
-
On the multi-level splitting of finite element spaces
-
H. YSERENTANT, On the multi-level splitting of finite element spaces, Numer. Math., 49(1986), pp. 379-412.
-
(1986)
Numer. Math.
, vol.49
, pp. 379-412
-
-
Yserentant, H.1
|