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McCormick, Steve Fahrney

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Author ID: mccormick.steve-f Recent zbMATH articles by "McCormick, Steve Fahrney"
Published as: McCormick, S.; McCormick, S. F.; McCormick, St. F.; McCormick, Stephen; McCormick, Stephen F.; McCormick, Steve; McCormick, Steve F.; Mccormick, S. F.
Homepage: http://grandmaster.colorado.edu/~stevem/
External Links: MGP
Documents Indexed: 154 Publications since 1972, including 8 Books
Reviewing Activity: 126 Reviews
all top 5

Co-Authors

23 single-authored
69 Manteuffel, Thomas A.
23 Ruge, J.
17 Ruge, John W.
14 Cai, Zhiqiang
10 Brezina, Marian
6 De Sterck, Hans
6 Heys, Jeffrey J.
6 Liu, Chaoqun
6 Mandel, Jan
6 Tang, Lei
6 Taylor, Gerald D.
5 Adler, James H.
5 Falgout, Robert D.
4 Allgower, Eugene L.
4 Henson, Van Emden
4 Liu, Zhaoli
4 MacLachlan, Scott P.
4 Nolting, Joshua W.
4 Olson, Luke N.
4 Quinlan, Daniel J.
4 Thomas, James William
3 Andrews, Matthew T.
3 Berndt, Markus
3 Brandt, Achi E.
3 Hart, Leslie B.
3 Jones, Jim E.
3 Ketelsen, Christian
3 Lee, Barry
3 Lee, Chang-Ock
3 Lee, Eunjung
3 Röhrle, Oliver
3 Sanders, G. D.
3 Sanders, Geoffrey
2 Benzi, Michele
2 Bochev, Pavel B.
2 Böhmer, Klaus
2 Brannick, James J.
2 Cai, Xiao-Chuan
2 Codd, A. L.
2 Duff, Iain S.
2 Elman, Howard C.
2 Jordan, Kirk E.
2 Kaufman, Edwin H. jun.
2 Kelley, Tim
2 Kilmer, Misha E.
2 Kim, Sangdong
2 Leyffer, Sven
2 Limber, Mark A.
2 Mckay, Steven M.
2 Miller, Killian
2 Morel, J. C.
2 Philip, Bobby
2 Pryor, Daniel V.
2 Robinson, Bruce T.
2 Rüde, Ulrich
2 Russell, Thomas F.
2 Schmidt, Jens Georg
2 Silvester, David J.
2 Tuminaro, Ray S.
2 Vassilevski, Panayot Spirov
2 Walker, Homer F.
2 Woodward, Carol S.
2 Yavneh, Irad
1 Appelhans, David J.
1 Austin, Travis M.
1 Bank, Randolph E.
1 Bates, J. R.
1 Belohlavek, Marek
1 Briggs, Beverly Dalton
1 Briggs, William L.
1 Chang, Ben
1 Chartier, Timothy P.
1 Doostan, Alireza
1 Eisenberg, Bob
1 Fiard, J. M.
1 Freund, Roland W.
1 García, Joaquín O.
1 Gary, John M.
1 Heroux, Michael A.
1 Holland, Wilbur Charles jun.
1 Hu, Xuecai
1 Jäger, Dirk
1 Jones, Tom
1 Keyes, David Elliot
1 Knoll, Dana A.
1 Lazarov, Rajčo D.
1 Li, Tiejun
1 Li, Yong
1 Liu, Kuo
1 Liu, Zhining
1 Liu, Zhixing
1 Livshits, Ira
1 Longsine, D. E.
1 Maclachlan, Colin
1 MacMillan, Hugh R.
1 Milano, Michela
1 Morel, Jim E.
1 Nguyen, Quoc-Lan
1 Noe, T.
1 O’Gallagher, Abbie
...and 19 more Co-Authors

Publications by Year

Citations contained in zbMATH

134 Publications have been cited 2,112 times in 1,346 Documents Cited by Year
A multigrid tutorial. 2nd ed. Zbl 0958.65128
Briggs, William L.; Henson, Van Emden; McCormick, Steve F.
315
2000
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
121
1994
The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086
Cai, Zhiqiang; Mandel, Jan; McCormick, Steve
103
1991
Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014
Brandt, A.; McCormick, S.; Ruge, J.
81
1984
On the accuracy of the finite volume element method for diffusion equations on composite grids. Zbl 0707.65073
Cai, Zhiqiang; McCormick, Steve
79
1990
First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
76
1997
Multilevel adaptive methods for partial differential equations. Zbl 0707.65080
McCormick, Stephen F.
73
1989
First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
69
1997
Multigrid methods. Zbl 0659.65094
McCormick, Stephen F. (ed.)
68
1987
The fast adaptive composite grid (FAC) method for elliptic equations. Zbl 0594.65078
McCormick, S.; Thomas, J.
52
1986
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
43
1998
Control-volume mixed finite element methods. Zbl 0941.76050
Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F.
39
1997
Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
34
2005
Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096
Chartier, T.; Falgout, R. D.; Henson, V. E.; Jones, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Vassilevski, P. S.
34
2003
Algebraic multigrid for higher-order finite elements. Zbl 1060.65673
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N.
33
2005
Adaptive algebraic multigrid. Zbl 1100.65025
Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J.
28
2006
Multigrid methods for variational problems: Further results. Zbl 0534.65063
McCormick, S. F.
27
1984
Multigrid methods for variational problems: General theory for the V- cycle. Zbl 0602.65038
McCormick, S. F.
24
1985
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
23
1995
Multigrid methods for variational problems. Zbl 0499.65032
McCormick, S. F.; Ruge, J. W.
23
1982
Multigrid methods for differential eigenproblems. Zbl 0517.65083
Brandt, A.; McCormick, S.; Ruge, J.
22
1983
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
21
1999
First-order system least-squares for the Helmholtz equation. Zbl 0957.65097
Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
20
2000
Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx. Zbl 0475.65021
Longsine, D. E.; McCormick, S. F.
20
1980
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem. Zbl 0968.74061
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.; Parter, Seymour V.
19
1998
Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.
18
2010
Multilevel adaptive aggregation for Markov chains, with application to web ranking. Zbl 1173.65028
de Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Nguyen, Quoc; Ruge, John
17
2008
Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. Zbl 1105.65346
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
17
2004
Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
17
1997
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. I. Zbl 1087.65115
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.; Starke, Gerhard
16
2005
An algebraic theory for multigrid methods for variational problems. Zbl 0647.65070
Mandel, J.; McCormick, Steve; Ruge, John
16
1988
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071
Hart, L.; McCormick, S.
15
1989
Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011
De Sterck, H.; Manteuffel, T. A.; Mccormick, S. F.; Miller, K.; Pearson, J.; Ruge, J.; Sanders, G.
14
2010
On mass-conserving least-squares methods. Zbl 1388.76052
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
14
2006
Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
14
2004
Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030
Cai, Zhiqiang; Mandel, Jan; McCormick, Steve
14
1997
An algebraic interpretation of multigrid methods. Zbl 0483.65061
McCormick, S. F.
14
1982
An energy-based AMG coarsening strategy. Zbl 1174.65542
Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
13
2006
First-order system \(\mathcal L\mathcal L^*\) (FOSLL*): Scalar elliptic partial differential equations. Zbl 1008.65085
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
13
2001
The method of Kaczmarz and row orthogonalization for solving linear equations and least squares problems in Hilbert space. Zbl 0341.65046
McCormick, S. F.
13
1977
Efficiency based adaptive local refinement for first-order system least-squares formulations. Zbl 1368.65227
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Nolting, J. W.; Ruge, J. W.; Tang, L.
12
2011
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. Zbl 1123.76032
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
12
2007
First-order system least squares (FOSLS) for coupled fluid-elastic problems. Zbl 1115.74320
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
12
2004
Fast adaptive composite grid (FAC) methods: Theory for the variational case. Zbl 0552.65071
McCormick, S.
12
1984
Adaptive reduction-based AMG. Zbl 1174.65549
MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve
11
2006
Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.
11
2003
First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. Zbl 0911.65108
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F.
11
1998
A uniform approach to gradient methods for linear operator equations. Zbl 0323.65018
McCormick, S. F.; Rodrigue, Garry H.
11
1975
First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012
Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R.
10
2006
A multilevel variational method for \(Au=\lambda Bu\) on composite grids. Zbl 0674.65013
Mandel, Jan; McCormick, Steve
10
1989
First-order system least squares for incompressible resistive magnetohydrodynamics. Zbl 1410.76469
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
9
2010
Enhanced mass conservation in least-squares methods for Navier-Stokes equations. Zbl 1188.76195
Heys, J. J.; Lee, E.; Manteuffel, T. A.; Mccormick, S. F.; Ruge, J. W.
9
2009
First-order system LL\(^*\) (FOSLL\(^*\)) for general scalar elliptic problems in the plane. Zbl 1103.65117
Manteuffel, T. A.; McCormick, S. F.; Ruge, J.; Schmidt, J. G.
9
2005
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. II. Zbl 1087.65114
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
9
2005
Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation. Zbl 1083.65092
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
9
2005
Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076
Mandel, Jan; McCormick, Steve
9
1989
Algebraic multigrid for Markov chains. Zbl 1210.65016
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G.
8
2010
Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory. Zbl 0816.65076
McCormick, Stephen F.
8
1994
An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems. Zbl 0303.65046
McCormick, Steve F.
8
1975
On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055
McCormick, Stephen; Miao, Pengzi
7
2019
Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. Zbl 1410.76321
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D.
7
2010
Weighted least-squares finite elements based on particle imaging velocimetry data. Zbl 1381.76173
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Milano, M.; Westerdale, J.; Belohlavek, M.
7
2010
Efficiency-based \(h\)- and \(hp\)-refinement strategies for finite element methods. Zbl 1212.65478
De Sterck, H.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
7
2008
A robust multilevel approach for minimizing \(\mathbf H\)(div)-dominated functionals in an \(\mathbf H^1\)-conforming finite element space. Zbl 1164.65516
Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve
7
2004
First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
7
2000
An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082
Liu, C.; Liu, Z.; McCormick, S.
7
1992
Multilevel projection methods for partial differential equations. Zbl 0781.65098
McCormick, Stephen F.
7
1992
Newton’s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems. Zbl 0352.65048
Allgower, E. L.; McCormick, S. F.
7
1978
A general approach to one-step iterative methods with application to eigenvalue problems. Zbl 0265.65023
McCormick, Steve F.
7
1972
Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019
Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi
6
2017
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2015
Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115
Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
6
2010
Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2003
First-order system least squares for the Stokes and linear elasticity equations: Further results. Zbl 0968.76035
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
6
2000
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver
5
2006
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
5
2003
A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
5
1995
Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography. Zbl 0792.65099
McCormick, Stephen F.; Wade, J. Gordon
5
1993
Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077
Mandel, Jan; McCormick, Steve
5
1989
Multigrid methods. Theory, applications, and supercomputing. (Papers from the third Copper Mountain conference on multigrid methods, held at Copper Mountain Colorado, April 5-10, 1987). Zbl 0641.00031
McCormick, S. F. (ed.)
5
1988
Unigrid for multigrid simulation. Zbl 0563.65065
McCormick, S. F.; Ruge, J. W.
5
1983
Simultaneous iteration for the matrix eigenvalue problem. Zbl 0353.65022
McCormick, S. F.; Noe, T.
5
1977
Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. Zbl 1282.76193
Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
4
2013
Spatial multigrid for isotropic neutron transport. Zbl 1149.65100
Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B.
4
2007
First-order system least squares and electrical impedance tomography. Zbl 1073.78020
MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F.
4
2004
Parallel multigrid methods. Zbl 0865.65088
Jones, Jim E.; McCormick, Stephen F.
4
1997
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
4
1995
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Performance results. Zbl 0686.65072
McCormick, S.; Quinlan, D.
4
1989
An adaptive differential correction algorithm. Zbl 0512.41015
Kaufman, E. H. jun.; McCormick, S. F.; Taylor, G. D.
4
1983
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007
Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John
3
2014
Parallel adaptive mesh refinement for first-order system least squares. Zbl 1274.65311
Brezina, M.; Garcia, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Tang, L.
3
2012
Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). Zbl 1274.65269
Brezina, M.; Ketelsen, C.; Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
3
2012
Asynchronous fast adaptive composite-grid methods: Numerical results. Zbl 1045.65111
Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J.
3
2003
A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101
Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G.
3
1996
A parallel version of a multigrid algorithm for isotropic transport equations. Zbl 0799.65154
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
3
1994
Multigrid methods on a hypercube. Zbl 0652.65075
Briggs, B.; Hart, L.; McCormick, S.; Quinlan, D.
3
1988
Successive overrelaxation, multigrid, and preconditioned conjugate gradients algorithms for solving a diffusion problem on a vector computer. Zbl 0527.65071
Gary, John; McCormick, Steve; Sweet, Roland
3
1983
Uniform rational approximation on large data sets. Zbl 0486.65009
Kaufman, E. H. jun.; McCormick, S. F.; Taylor, G. D.
3
1982
Evaluation of functions on microcomputers: square root. Zbl 0416.65013
Andrews, M.; McCormick, S. F.; Taylor, G. D.
3
1978
A revised mesh refinement strategy for Newton’s method applied to nonlinear two-point boundary value problems. Zbl 0382.65039
McCormick, S. F.
3
1978
On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055
McCormick, Stephen; Miao, Pengzi
7
2019
Asymptotically hyperbolic extensions and an analogue of the Bartnik mass. Zbl 1396.53057
Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen
1
2018
On a Minkowski-like inequality for asymptotically flat static manifolds. Zbl 06904498
McCormick, Stephen
1
2018
Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019
Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi
6
2017
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2015
A note on mass-minimising extensions. Zbl 1335.83010
McCormick, Stephen
1
2015
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007
Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John
3
2014
Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. Zbl 1282.76193
Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
4
2013
Hybrid first-order system least squares finite element methods with application to Stokes equations. Zbl 1408.76368
Liu, K.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
2
2013
Parallel adaptive mesh refinement for first-order system least squares. Zbl 1274.65311
Brezina, M.; Garcia, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Tang, L.
3
2012
Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). Zbl 1274.65269
Brezina, M.; Ketelsen, C.; Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
3
2012
Efficiency based adaptive local refinement for first-order system least-squares formulations. Zbl 1368.65227
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Nolting, J. W.; Ruge, J. W.; Tang, L.
12
2011
Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.
18
2010
Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011
De Sterck, H.; Manteuffel, T. A.; Mccormick, S. F.; Miller, K.; Pearson, J.; Ruge, J.; Sanders, G.
14
2010
First-order system least squares for incompressible resistive magnetohydrodynamics. Zbl 1410.76469
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
9
2010
Algebraic multigrid for Markov chains. Zbl 1210.65016
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G.
8
2010
Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. Zbl 1410.76321
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D.
7
2010
Weighted least-squares finite elements based on particle imaging velocimetry data. Zbl 1381.76173
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Milano, M.; Westerdale, J.; Belohlavek, M.
7
2010
Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115
Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
6
2010
Further results on error estimators for local refinement with first-order system least squares (FOSLS). Zbl 1240.65319
Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Sanders, G.
2
2010
An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics. Zbl 1280.76064
Adler, J.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
2
2010
Least-squares finite element methods for quantum electrodynamics. Zbl 1208.81201
Brannick, J.; Ketelsen, C.; Manteuffel, T.; McCormick, S.
1
2010
Enhanced mass conservation in least-squares methods for Navier-Stokes equations. Zbl 1188.76195
Heys, J. J.; Lee, E.; Manteuffel, T. A.; Mccormick, S. F.; Ruge, J. W.
9
2009
Multilevel adaptive aggregation for Markov chains, with application to web ranking. Zbl 1173.65028
de Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Nguyen, Quoc; Ruge, John
17
2008
Efficiency-based \(h\)- and \(hp\)-refinement strategies for finite element methods. Zbl 1212.65478
De Sterck, H.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
7
2008
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. Zbl 1212.65149
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.; Vassilevski, P.
1
2008
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. Zbl 1123.76032
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
12
2007
Spatial multigrid for isotropic neutron transport. Zbl 1149.65100
Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B.
4
2007
Adaptive algebraic multigrid. Zbl 1100.65025
Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J.
28
2006
On mass-conserving least-squares methods. Zbl 1388.76052
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
14
2006
An energy-based AMG coarsening strategy. Zbl 1174.65542
Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
13
2006
Adaptive reduction-based AMG. Zbl 1174.65549
MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve
11
2006
First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012
Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R.
10
2006
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver
5
2006
Projection multilevel methods for quasilinear elliptic partial differential equations: numerical results. Zbl 1145.65108
Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver; Ruge, John
1
2006
Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
34
2005
Algebraic multigrid for higher-order finite elements. Zbl 1060.65673
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N.
33
2005
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. I. Zbl 1087.65115
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.; Starke, Gerhard
16
2005
First-order system LL\(^*\) (FOSLL\(^*\)) for general scalar elliptic problems in the plane. Zbl 1103.65117
Manteuffel, T. A.; McCormick, S. F.; Ruge, J.; Schmidt, J. G.
9
2005
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. II. Zbl 1087.65114
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
9
2005
Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation. Zbl 1083.65092
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
9
2005
Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. Zbl 1105.65346
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
17
2004
Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
14
2004
First-order system least squares (FOSLS) for coupled fluid-elastic problems. Zbl 1115.74320
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
12
2004
A robust multilevel approach for minimizing \(\mathbf H\)(div)-dominated functionals in an \(\mathbf H^1\)-conforming finite element space. Zbl 1164.65516
Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve
7
2004
First-order system least squares and electrical impedance tomography. Zbl 1073.78020
MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F.
4
2004
Asynchronous fast adaptive composite-grid methods for elliptic problems: theoretical foundations. Zbl 1079.65120
Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J.
2
2004
Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096
Chartier, T.; Falgout, R. D.; Henson, V. E.; Jones, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Vassilevski, P. S.
34
2003
Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.
11
2003
Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2003
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
5
2003
Asynchronous fast adaptive composite-grid methods: Numerical results. Zbl 1045.65111
Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J.
3
2003
First-order system \(\mathcal L\mathcal L^*\) (FOSLL*): Scalar elliptic partial differential equations. Zbl 1008.65085
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
13
2001
A multigrid tutorial. 2nd ed. Zbl 0958.65128
Briggs, William L.; Henson, Van Emden; McCormick, Steve F.
315
2000
First-order system least-squares for the Helmholtz equation. Zbl 0957.65097
Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
20
2000
First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
7
2000
First-order system least squares for the Stokes and linear elasticity equations: Further results. Zbl 0968.76035
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
6
2000
First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction. Zbl 0990.74068
Kim, Sang Dong; Manteuffel, Thomas A.; McCormick, Stephen F.
2
2000
A nonlinear multigrid solver for a semi-Lagrangian potential vorticity-based shallow-water model on the sphere. Zbl 0970.76069
Ruge, John W.; Li, Yong; McCormick, Steve; Brandt, Achi; Bates, J. R.
2
2000
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
21
1999
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
43
1998
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem. Zbl 0968.74061
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.; Parter, Seymour V.
19
1998
First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. Zbl 0911.65108
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F.
11
1998
First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
76
1997
First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
69
1997
Control-volume mixed finite element methods. Zbl 0941.76050
Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F.
39
1997
Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
17
1997
Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030
Cai, Zhiqiang; Mandel, Jan; McCormick, Steve
14
1997
Parallel multigrid methods. Zbl 0865.65088
Jones, Jim E.; McCormick, Stephen F.
4
1997
A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101
Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G.
3
1996
Multilevel image reconstruction with natural pixels. Zbl 0838.92016
Henson, Van Emden; Limber, Mark A.; McCormick, Stephen F.; Robinson, Bruce T.
1
1996
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
23
1995
A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
5
1995
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
4
1995
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
121
1994
Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory. Zbl 0816.65076
McCormick, Stephen F.
8
1994
A parallel version of a multigrid algorithm for isotropic transport equations. Zbl 0799.65154
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
3
1994
A finite volume convergence theory for the fast adaptive composite grid methods. Zbl 0811.65087
McCormick, Steve; Rüde, Ulrich
2
1994
Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography. Zbl 0792.65099
McCormick, Stephen F.; Wade, J. Gordon
5
1993
Multilevel projection methods for partial differential equations. Zbl 0788.65111
McCormick, Steve
1
1993
An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082
Liu, C.; Liu, Z.; McCormick, S.
7
1992
Multilevel projection methods for partial differential equations. Zbl 0781.65098
McCormick, Stephen F.
7
1992
The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086
Cai, Zhiqiang; Mandel, Jan; McCormick, Steve
103
1991
Multigrid methods for flow transition in a planar channel. Zbl 0900.76080
Liu, C.; Liu, Z.; McCormick, S.
2
1991
Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056
Liu, C.; Liu, Z.; McCormick, S.
2
1991
On the accuracy of the finite volume element method for diffusion equations on composite grids. Zbl 0707.65073
Cai, Zhiqiang; McCormick, Steve
79
1990
The realization problem for a class of nonlinear systems. Zbl 0706.93012
Li, Tiejun; McCormick, S. F.
1
1990
Computational complexity of the fast adaptive composite grid (FAC) method. Zbl 0697.65076
McCormick, Steve F.; McKay, Steven M.; Thomas, J. W.
1
1990
Multilevel adaptive methods for partial differential equations. Zbl 0707.65080
McCormick, Stephen F.
73
1989
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071
Hart, L.; McCormick, S.
15
1989
A multilevel variational method for \(Au=\lambda Bu\) on composite grids. Zbl 0674.65013
Mandel, Jan; McCormick, Steve
10
1989
Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076
Mandel, Jan; McCormick, Steve
9
1989
Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077
Mandel, Jan; McCormick, Steve
5
1989
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Performance results. Zbl 0686.65072
McCormick, S.; Quinlan, D.
4
1989
Computational complexity of the Schwarz alternating procedure. Zbl 0726.65029
Cai, Zhiqiang; McCormick, Steve
1
1989
An algebraic theory for multigrid methods for variational problems. Zbl 0647.65070
Mandel, J.; McCormick, Steve; Ruge, John
16
1988
Multigrid methods. Theory, applications, and supercomputing. (Papers from the third Copper Mountain conference on multigrid methods, held at Copper Mountain Colorado, April 5-10, 1987). Zbl 0641.00031
McCormick, S. F. (ed.)
5
1988
Multigrid methods on a hypercube. Zbl 0652.65075
Briggs, B.; Hart, L.; McCormick, S.; Quinlan, D.
3
1988
Applications of the fast adaptive composite grid method. Zbl 0648.65073
Heroux, M.; McCormick, S.; McKay, S.; Thomas, J. W.
1
1988
Multigrid methods. Zbl 0659.65094
McCormick, Stephen F. (ed.)
68
1987
...and 34 more Documents
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Cited by 2,014 Authors

32 McCormick, Steve Fahrney
30 Manteuffel, Thomas A.
24 Vassilevski, Panayot Spirov
19 MacLachlan, Scott P.
19 Yang, Suh-Yuh
16 Rui, Hongxing
16 Xu, Jinchao
15 Luo, Zhendong
13 Zhang, Jun
12 Kim, Sangdong
11 Ku, Jaeun
11 Olson, Luke N.
11 Tuminaro, Raymond S.
11 Ye, Xiu
11 Yuan, Yirang
10 Bramble, James H.
10 Chen, Chuanjun
10 Gerritsma, Marc I.
10 Guo, Hui
10 Mandel, Jan
10 Notay, Yvan
9 Bi, Chunjia
9 Cai, Zhiqiang
9 Chen, Zhangxin
9 Ewing, Richard Edward
9 Fish, Jacob
9 Gaspar, Francisco José
9 Kwak, Do Young
9 Li, Hong
9 Pasciak, Joseph E.
9 Schroder, Jacob B.
9 Zikatanov, Ludmil T.
8 Adler, James H.
8 Brenner, Susanne Cecelia
8 Duan, Huoyuan
8 Lee, Eunjung
8 Li, Yonghai
8 Oosterlee, Cornelis Willebrordus
8 Shadid, John N.
8 Vanroose, Wim
7 Brezina, Marian
7 Falgout, Robert D.
7 Griebel, Michael
7 Heys, Jeffrey J.
7 Hu, Xiaozhe
7 Lazarov, Raytcho D.
7 Rodrigo, Carmen
7 Ruge, J.
7 Shin, Byeong Chun
7 Shu, Shi
7 Taylor, Gerald D.
7 Wall, Wolfgang A.
7 Xie, Hehu
6 Cools, Siegfried
6 Demkowicz, Leszek F.
6 Gee, Michael W.
6 Hessari, Peyman
6 Kahl, Karsten
6 Kolev, Tzanio V.
6 Li, Changfeng
6 Lisbona Cortés, Francisco Javier
6 Liu, Jinn-Liang
6 Mu, Lin
6 Napov, Artem
6 Parter, Seymour V.
6 Reddy, Junuthula Narasimha
6 Schwarz, Alexander
6 Wang, Yin
6 Yang, Danping
5 Bochev, Pavel B.
5 Bolten, Matthias
5 Carey, Graham Francis
5 Chen, Zhongying
5 Dai, Ruxin
5 De Maerschalck, Bart
5 Griffith, Boyce E.
5 Huang, Ting-Zhu
5 Knyazev, Andrew V.
5 Kočvara, Michal
5 Lee, Hsueh-Chen
5 Liu, Jun
5 Moulton, J. David
5 Pontaza, Juan P.
5 Rüde, Ulrich
5 Ruge, John W.
5 Schröder, Jörg
5 Southworth, Ben S.
5 Tuminaro, Ray S.
5 Westphal, Chad R.
5 Xu, Fei
5 Yang, Min
5 Zhou, Aihui
4 Belohlavek, Marek
4 Brannick, James J.
4 Carstensen, Carsten
4 Chen, Ke
4 Chen, Yanping
4 Chou, So-Hsiang
4 Cyr, Eric C.
4 Dahmen, Wolfgang A.
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Cited in 174 Serials

158 Journal of Computational Physics
106 Journal of Computational and Applied Mathematics
85 Applied Mathematics and Computation
81 Numerical Linear Algebra with Applications
80 Computer Methods in Applied Mechanics and Engineering
64 Computers & Mathematics with Applications
64 Applied Numerical Mathematics
64 SIAM Journal on Scientific Computing
42 Numerische Mathematik
35 Mathematics of Computation
35 International Journal for Numerical Methods in Engineering
27 Numerical Methods for Partial Differential Equations
25 Journal of Scientific Computing
23 International Journal for Numerical Methods in Fluids
22 Computing
17 International Journal of Computer Mathematics
15 Computers and Fluids
12 BIT
12 Numerical Functional Analysis and Optimization
12 SIAM Journal on Numerical Analysis
11 Journal of Mathematical Analysis and Applications
11 Linear Algebra and its Applications
10 Mathematical Problems in Engineering
10 Computing and Visualization in Science
9 Communications in Numerical Methods in Engineering
9 Advances in Computational Mathematics
9 Computational Geosciences
8 Mathematical Methods in the Applied Sciences
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Numerical Algorithms
7 Mathematics and Computers in Simulation
6 Computer Physics Communications
6 SIAM Journal on Matrix Analysis and Applications
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Computational Mechanics
5 Applied Mathematical Modelling
5 Journal of Numerical Mathematics
5 Science China. Mathematics
4 Journal of Fluid Mechanics
4 Calcolo
4 Journal of Global Optimization
4 Computational Optimization and Applications
4 Journal of Applied Mathematics and Computing
3 Journal of Approximation Theory
3 Journal of Computer and System Sciences
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Applications of Mathematics
3 Abstract and Applied Analysis
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Archives of Computational Methods in Engineering
3 Journal of Systems Science and Complexity
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Computational Methods
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Journal of Geometry and Physics
2 Journal of Optimization Theory and Applications
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Pacific Journal of Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Mathematicae Applicatae Sinica. English Series
2 Communications in Applied Numerical Methods
2 Science in China. Series A
2 Computational Mathematics and Mathematical Physics
2 SIAM Review
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2 Optimization Methods & Software
2 Communications in Nonlinear Science and Numerical Simulation
2 Foundations of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Acta Numerica
2 Computational & Mathematical Methods in Medicine
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 ISRN Applied Mathematics
1 Modern Physics Letters B
1 Ingenieur-Archiv
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Inverse Problems
1 Information Processing Letters
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Transport Theory and Statistical Physics
1 Chaos, Solitons and Fractals
1 ACM Transactions on Mathematical Software
1 Automatica
1 Journal of the Korean Mathematical Society
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18 Integral equations (45-XX)
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11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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