-
1
-
-
0038042421
-
Multigrid solver for the inner problem in domain decomposition methods for p-fem
-
Beuchler, S. (2002). Multigrid solver for the inner problem in domain decomposition methods for p-fem. SIAM J. Numer. Anal. 40, 928-944.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 928-944
-
-
Beuchler, S.1
-
2
-
-
0031082724
-
Diagonal edge preconditioners in p-version and spectral element methods
-
Casarin, M.A. (1997). Diagonal edge preconditioners in p-version and spectral element methods. SIAM J. Sci. Comput. 18, 610-620.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 610-620
-
-
Casarin, M.A.1
-
3
-
-
0000997330
-
Quasi-optimal Schwarz methods for the conforming spectral element discretization
-
Casarin, M.A. (1997). Quasi-optimal Schwarz methods for the conforming spectral element discretization. SIAM J. Numer. Anal. 34, 2482-2502.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2482-2502
-
-
Casarin, M.A.1
-
4
-
-
23244432383
-
Schwarz preconditioners for the spectral element Stokes and Navier-Stokes discretizations
-
Bjørstad, P., Espedal, M., and Keyes, D. (eds.), Wiley, New York
-
Casarin, M.A. (1998). Schwarz preconditioners for the spectral element Stokes and Navier-Stokes discretizations. In Bjørstad, P., Espedal, M., and Keyes, D. (eds.), Domain Decomposition 9 Proc., Wiley, New York, pp. 72-79.
-
(1998)
Domain Decomposition 9 Proc.
, pp. 72-79
-
-
Casarin, M.A.1
-
6
-
-
0028458640
-
Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows
-
Couzy, W., and Deville, M.O. (1994). Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows. J. Sci. Comput. 9, 107-112.
-
(1994)
J. Sci. Comput.
, vol.9
, pp. 107-112
-
-
Couzy, W.1
Deville, M.O.2
-
7
-
-
0000489687
-
A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
-
Couzy, W., and Deville, M.O. (1995). A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations. J. Comput. Phys. 116, 135-142.
-
(1995)
J. Comput. Phys.
, vol.116
, pp. 135-142
-
-
Couzy, W.1
Deville, M.O.2
-
8
-
-
0003743351
-
-
Cambridge University Press, Cambridge
-
Deville, M.O., Fischer, P.F., and Mund, E.H. (2002). High-order Methods for Incompressible Fluid Flow, Cambridge University Press, Cambridge.
-
(2002)
High-order Methods for Incompressible Fluid Flow
-
-
Deville, M.O.1
Fischer, P.F.2
Mund, E.H.3
-
9
-
-
0001194652
-
Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
-
Deville, M.O., and Mund, E.H. (1985). Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning. J. Comp. Phys. 60, 517-533.
-
(1985)
J. Comp. Phys.
, vol.60
, pp. 517-533
-
-
Deville, M.O.1
Mund, E.H.2
-
10
-
-
0000464822
-
Finite element preconditioning for pseudospectral solutions of elliptic problems
-
Deville, M.O., and Mund, E.H. (1990). Finite element preconditioning for pseudospectral solutions of elliptic problems. SIAM J. Sci. Stat. Comput. 11, 311-342.
-
(1990)
SIAM J. Sci. Stat. Comput.
, vol.11
, pp. 311-342
-
-
Deville, M.O.1
Mund, E.H.2
-
11
-
-
0003922593
-
An additive variant of the Schwarz alternating method for the case of many subregions
-
Dept. Comp. Sci., Courant Inst., NYU
-
Dryja, M., and Widlund, O.B. (1987). An additive variant of the Schwarz alternating method for the case of many subregions. Technical Report TR 339, Dept. Comp. Sci., Courant Inst., NYU.
-
(1987)
Technical Report
, vol.TR 339
-
-
Dryja, M.1
Widlund, O.B.2
-
12
-
-
0011007773
-
Parallel multi-level solvers for spectral element methods
-
Ilin, A.V. and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods
-
Fischer, P.F. (1996). Parallel multi-level solvers for spectral element methods. In Ilin, A.V. and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods, Houston Journal of Mathematics, pp. 595-604.
-
(1996)
Houston Journal of Mathematics
, pp. 595-604
-
-
Fischer, P.F.1
-
13
-
-
0031145109
-
An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
-
Fischer, P.F. (1997). An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations. J. Comput. Phys. 133, 84-101.
-
(1997)
J. Comput. Phys.
, vol.133
, pp. 84-101
-
-
Fischer, P.F.1
-
14
-
-
0042071939
-
Spectral element methods for transitional flows in complex geometries
-
Fischer, P.F., Kruse, G.W., and Loth, F. (2002). Spectral element methods for transitional flows in complex geometries. J. Sci. Comput. 17, 81-98.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 81-98
-
-
Fischer, P.F.1
Kruse, G.W.2
Loth, F.3
-
15
-
-
0041750046
-
An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows
-
Bjørstad, P. and Luskin, M. (eds.), Springer, Berlin
-
Fischer, P.F., Miller, N.I., and Tufo, H.M. (2000). An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows. In Bjørstad, P. and Luskin, M. (eds.), Parallel Solution of Partial Differential Equations, Springer, Berlin, pp. 158-180.
-
(2000)
Parallel Solution of Partial Differential Equations
, pp. 158-180
-
-
Fischer, P.F.1
Miller, N.I.2
Tufo, H.M.3
-
16
-
-
0028450352
-
Spectral element methods for large scale parallel Navier-Stokes calculations
-
Fischer, P.F., and Rønquist, E.M. (1994). Spectral element methods for large scale parallel Navier-Stokes calculations. Comput. Methods Appl. Mech. Engrg. 116, 69-76.
-
(1994)
Comput. Methods Appl. Mech. Engrg.
, vol.116
, pp. 69-76
-
-
Fischer, P.F.1
Rønquist, E.M.2
-
18
-
-
38249027646
-
Line relaxation for spectral multigrid methods
-
Heinrichs, W. (1988). Line relaxation for spectral multigrid methods. J. Comput. Phys. 77, 166-182.
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 166-182
-
-
Heinrichs, W.1
-
19
-
-
84968475596
-
Improved condition number for spectral methods
-
Heinrichs, W. (1989). Improved condition number for spectral methods. Math. Comp. 53, 103-119.
-
(1989)
Math. Comp.
, vol.53
, pp. 103-119
-
-
Heinrichs, W.1
-
20
-
-
34250966014
-
Direct solution of partial difference equations by tensor product methods
-
Lynch, R.E., Rice, J.R., and Thomas, D.H. (1964). Direct solution of partial difference equations by tensor product methods. Numer. Math. 6, 185-199.
-
(1964)
Numer. Math.
, vol.6
, pp. 185-199
-
-
Lynch, R.E.1
Rice, J.R.2
Thomas, D.H.3
-
21
-
-
15944373359
-
Numerical analysis of a multigrid method for spectral approximations
-
Hussaini, M. Y., Dwoyer, D. L., and Voigt, R. G. (eds.), Springer, Berlin
-
Maday, Y., and Muñoz, R. (1989). Numerical analysis of a multigrid method for spectral approximations. In Hussaini, M. Y., Dwoyer, D. L., and Voigt, R. G. (eds.), Lecture Notes in Physics, Volume 323: Proc. of the 11th Int. Conf. on Numerical Methods in Fluid Dynamics, Springer, Berlin, pp. 389-394.
-
(1989)
Lecture Notes in Physics, Volume 323: Proc. of the 11th Int. Conf. on Numerical Methods in Fluid Dynamics
, vol.323
, pp. 389-394
-
-
Maday, Y.1
Muñoz, R.2
-
22
-
-
23244431986
-
Spectral element multigrid methods
-
de Groen, P., and Beauwens, R. (eds.), Elsevier, Amsterdam
-
Maday, Y., Muñoz, R., Patera, A.T., and Rønquist, E.M. (1992). Spectral element multigrid methods. In de Groen, P., and Beauwens, R. (eds.), Proc. of the IMACS Int. Symposium on Iterative Methods in Linear Algebra, Brussels, 1991, Elsevier, Amsterdam, pp. 191-201.
-
(1992)
Proc. of the IMACS Int. Symposium on Iterative Methods in Linear Algebra, Brussels, 1991
, pp. 191-201
-
-
Maday, Y.1
Muñoz, R.2
Patera, A.T.3
Rønquist, E.M.4
-
23
-
-
0025416211
-
Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions
-
Mandel, J. (1990). Two-level domain decomposition preconditioning for the p-version finite element method in three dimensions. Int. J. Numer. Methods Eng. 29, 1095-1108.
-
(1990)
Int. J. Numer. Methods Eng.
, vol.29
, pp. 1095-1108
-
-
Mandel, J.1
-
24
-
-
0000527799
-
Domain decomposition preconditioning for p-version finite elements with high aspect ratios
-
Mandel, J., and Lett, G.S. (1991). Domain decomposition preconditioning for p-version finite elements with high aspect ratios. Appl. Numer. Math. 8, 411-425.
-
(1991)
Appl. Numer. Math.
, vol.8
, pp. 411-425
-
-
Mandel, J.1
Lett, G.S.2
-
25
-
-
0023982322
-
On the use of deflation to improve the convergence of conjugate gradient iteration
-
Mansfield, L. (1988). On the use of deflation to improve the convergence of conjugate gradient iteration. Comm. in Appl. Numer. Meth. 4, 151-156.
-
(1988)
Comm. in Appl. Numer. Meth.
, vol.4
, pp. 151-156
-
-
Mansfield, L.1
-
26
-
-
0023331865
-
Deflation of conjugate gradients with application to boundary value problems
-
Nicolaides, R.A. (1987). Deflation of conjugate gradients with application to boundary value problems. SIAM J. Numer. Anal. 24, 355-365.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 355-365
-
-
Nicolaides, R.A.1
-
27
-
-
85013126603
-
Spectral methods for problems in complex geometry
-
Orszag, S.A. (1980). Spectral methods for problems in complex geometry. J. Comput. Phys. 37, 70-92.
-
(1980)
J. Comput. Phys.
, vol.37
, pp. 70-92
-
-
Orszag, S.A.1
-
28
-
-
0011002616
-
-
Master's thesis, Dept. of Computational and Applied Math., Univ. of Witwatersrand, Johannesburg, South Africa
-
Pahl, S.S. (1993). Schwarz type domain decomposition methods for spectral element discretizations. Master's thesis, Dept. of Computational and Applied Math., Univ. of Witwatersrand, Johannesburg, South Africa.
-
(1993)
Schwarz Type Domain Decomposition Methods for Spectral Element Discretizations
-
-
Pahl, S.S.1
-
29
-
-
0001511946
-
Preconditioning Legendre spectral collocation approximations to elliptic problems
-
Parter, S.V., and Rothman, E.E. (1995). Preconditioning Legendre spectral collocation approximations to elliptic problems. SIAM J. Numer. Anal. 32, 333-385.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 333-385
-
-
Parter, S.V.1
Rothman, E.E.2
-
30
-
-
0346246272
-
Overlapping Schwarz methods for unstructured spectral elements
-
Pavarino, L.F., and Warburton, T. (2000). Overlapping Schwarz methods for unstructured spectral elements. J. Comput. Phys. 160, 298-317.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 298-317
-
-
Pavarino, L.F.1
Warburton, T.2
-
31
-
-
0000337361
-
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions
-
Pavarino, L.F., and Widlund, O.B. (1996). A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. SIAM J. Numer. Anal. 33, 1303-1335.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1303-1335
-
-
Pavarino, L.F.1
Widlund, O.B.2
-
33
-
-
0026993282
-
A domain decomposition method for elliptic boundary value problems: Application to unsteady incompressible fluid flow
-
Keyes, D.E., Chan, T.F., Meurant, G., Scroggs, J.S., and Voigt, R.G. (eds.), SIAM, Philadelphia
-
Rønquist, E.M. (1992). A domain decomposition method for elliptic boundary value problems: application to unsteady incompressible fluid flow. In Keyes, D.E., Chan, T.F., Meurant, G., Scroggs, J.S., and Voigt, R.G. (eds.), Fifth Int. Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, pp. 545-557.
-
(1992)
Fifth Int. Symposium on Domain Decomposition Methods for Partial Differential Equations
, pp. 545-557
-
-
Rønquist, E.M.1
-
34
-
-
0042387044
-
A domain decomposition solver for the steady Navier-Stokes equations
-
Ilin, A.V., and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods
-
Rønquist, E.M. (1996). A domain decomposition solver for the steady Navier-Stokes equations. In Ilin, A.V., and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods, Houston Journal of Mathematics, pp. 469-485.
-
(1996)
Houston Journal of Mathematics
, pp. 469-485
-
-
Rønquist, E.M.1
-
35
-
-
0000784858
-
Spectral element multigrid, I:. Formulation and numerical results
-
Rønquist, E.M., and Patera, A.T. (1987). Spectral element multigrid, I:. Formulation and numerical results. J. Sci. Comput. 2, 389-406.
-
(1987)
J. Sci. Comput.
, vol.2
, pp. 389-406
-
-
Rønquist, E.M.1
Patera, A.T.2
-
36
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad, Y., and Schultz, M.H. (1986). GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869.
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
37
-
-
0034190393
-
A finite element multigrid preconditioner for chebyshev-collocation methods
-
Shen, J. E., Wang, F., and Xu, J. (2000). A finite element multigrid preconditioner for chebyshev-collocation methods. Appl. Numer. Math. 33, 471-477.
-
(2000)
Appl. Numer. Math.
, vol.33
, pp. 471-477
-
-
Shen, J.E.1
Wang, F.2
Xu, J.3
-
38
-
-
0002043336
-
Efficient Chebyshev-Legendre Galerkin methods for elliptic problems
-
Ilin, A.V., and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods
-
Shen, J.E. (1996). Efficient Chebyshev-Legendre Galerkin methods for elliptic problems. In Ilin, A.V., and Scott, L.R. (eds.), Third Int. Conference on Spectral and High Order Methods, Houston Journal of Mathematics, pp. 233-239.
-
(1996)
Houston Journal of Mathematics
, pp. 233-239
-
-
Shen, J.E.1
-
39
-
-
1542794516
-
-
Cambridge University Press, Cambridge
-
Smith, B., Bjørstad, P., and Gropp, W (1996). Domain Decomposition: Parallel Multilevel Methods for Elliptic PDEs. Cambridge University Press, Cambridge.
-
(1996)
Domain Decomposition: Parallel Multilevel Methods for Elliptic PDEs
-
-
Smith, B.1
Bjørstad, P.2
Gropp, W.3
-
40
-
-
2342459074
-
A Schwarz preconditioner for the cubed-sphere
-
Thomas, S.J., Dennis, J.M., Tufo, H.M., and Fischer, P.F. (2003). A Schwarz preconditioner for the cubed-sphere. SIAM J. Sci. Comput., 25, 442-453.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 442-453
-
-
Thomas, S.J.1
Dennis, J.M.2
Tufo, H.M.3
Fischer, P.F.4
-
41
-
-
0006606983
-
Fast parallel direct solvers for coarse-grid problems
-
Tufo, H.M., and Fischer, P.F. (2001). Fast parallel direct solvers for coarse-grid problems. J. Parallel Distrib. Comput. 61, 151-177.
-
(2001)
J. Parallel Distrib. Comput.
, vol.61
, pp. 151-177
-
-
Tufo, H.M.1
Fischer, P.F.2
-
42
-
-
0038892823
-
Spectral multigrid methods for elliptic equations
-
Zang, T.A., Wong, Y.S., and Hussaini, M.Y. (1982). Spectral multigrid methods for elliptic equations. J. Comput. Phys. 48, 485-501.
-
(1982)
J. Comput. Phys.
, vol.48
, pp. 485-501
-
-
Zang, T.A.1
Wong, Y.S.2
Hussaini, M.Y.3
-
43
-
-
0040670821
-
Spectral multigrid methods for elliptic equations II
-
Zang, T.A., Wong, Y.S., and Hussaini, M.Y. (1984). Spectral multigrid methods for elliptic equations II. J. Comput. Phys. 54, 489-507.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 489-507
-
-
Zang, T.A.1
Wong, Y.S.2
Hussaini, M.Y.3
|