Edit Profile McCormick, Steve Fahrney Compute Distance To: Compute Author ID: mccormick.steve-f 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 all top 5 Serials 30 SIAM Journal on Scientific Computing 29 SIAM Journal on Numerical Analysis 13 Numerical Linear Algebra with Applications 6 Journal of Computational Physics 4 Computers & Mathematics with Applications 3 Mathematics of Computation 3 ETNA. Electronic Transactions on Numerical Analysis 2 Applied Mathematics and Computation 2 Journal of Computer and System Sciences 2 Numerische Mathematik 2 Parallel Computing 2 Applied Numerical Mathematics 2 International Journal of High Speed Computing 2 Linear Algebra and its Applications 2 Frontiers in Applied Mathematics 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Indiana University Mathematics Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Scientific and Statistical Computing 1 Communications in Applied Numerical Methods 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 SIAM Review 1 Computational Geosciences 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Pure and Applied Mathematics all top 5 Fields 132 Numerical analysis (65-XX) 62 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 7 General and overarching topics; collections (00-XX) 6 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications 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 0958.65128Briggs, William L.; Henson, Van Emden; McCormick, Steve F. 315 2000 First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 121 1994 The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 103 1991 Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014Brandt, A.; McCormick, S.; Ruge, J. 81 1984 On the accuracy of the finite volume element method for diffusion equations on composite grids. Zbl 0707.65073Cai, Zhiqiang; McCormick, Steve 79 1990 First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 76 1997 Multilevel adaptive methods for partial differential equations. Zbl 0707.65080McCormick, Stephen F. 73 1989 First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052Cai, Z.; Manteuffel, T. A.; McCormick, S. F. 69 1997 Multigrid methods. Zbl 0659.65094McCormick, Stephen F. (ed.) 68 1987 The fast adaptive composite grid (FAC) method for elliptic equations. Zbl 0594.65078McCormick, S.; Thomas, J. 52 1986 Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F. 43 1998 Control-volume mixed finite element methods. Zbl 0941.76050Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F. 39 1997 Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 34 2005 Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096Chartier, 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 1060.65673Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N. 33 2005 Adaptive algebraic multigrid. Zbl 1100.65025Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J. 28 2006 Multigrid methods for variational problems: Further results. Zbl 0534.65063McCormick, S. F. 27 1984 Multigrid methods for variational problems: General theory for the V- cycle. Zbl 0602.65038McCormick, S. F. 24 1985 First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 23 1995 Multigrid methods for variational problems. Zbl 0499.65032McCormick, S. F.; Ruge, J. W. 23 1982 Multigrid methods for differential eigenproblems. Zbl 0517.65083Brandt, A.; McCormick, S.; Ruge, J. 22 1983 Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F. 21 1999 First-order system least-squares for the Helmholtz equation. Zbl 0957.65097Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. 20 2000 Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx. Zbl 0475.65021Longsine, D. E.; McCormick, S. F. 20 1980 First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem. Zbl 0968.74061Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.; Parter, Seymour V. 19 1998 Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G. 18 2010 Multilevel adaptive aggregation for Markov chains, with application to web ranking. Zbl 1173.65028de 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 1105.65346De 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 0889.65112Berndt, 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 1087.65115Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.; Starke, Gerhard 16 2005 An algebraic theory for multigrid methods for variational problems. Zbl 0647.65070Mandel, J.; McCormick, Steve; Ruge, John 16 1988 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071Hart, L.; McCormick, S. 15 1989 Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011De 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 1388.76052Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 14 2006 Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 14 2004 Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 14 1997 An algebraic interpretation of multigrid methods. Zbl 0483.65061McCormick, S. F. 14 1982 An energy-based AMG coarsening strategy. Zbl 1174.65542Brannick, 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 1008.65085Cai, 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 0341.65046McCormick, S. F. 13 1977 Efficiency based adaptive local refinement for first-order system least-squares formulations. Zbl 1368.65227Adler, 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 1123.76032Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 12 2007 First-order system least squares (FOSLS) for coupled fluid-elastic problems. Zbl 1115.74320Heys, 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 0552.65071McCormick, S. 12 1984 Adaptive reduction-based AMG. Zbl 1174.65549MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve 11 2006 Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315Codd, A. L.; Manteuffel, T. A.; McCormick, S. F. 11 2003 First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. Zbl 0911.65108Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F. 11 1998 A uniform approach to gradient methods for linear operator equations. Zbl 0323.65018McCormick, S. F.; Rodrigue, Garry H. 11 1975 First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012Manteuffel, 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 0674.65013Mandel, Jan; McCormick, Steve 10 1989 First-order system least squares for incompressible resistive magnetohydrodynamics. Zbl 1410.76469Adler, 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 1188.76195Heys, 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 1103.65117Manteuffel, 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 1087.65114Berndt, 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 1083.65092De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke 9 2005 Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076Mandel, Jan; McCormick, Steve 9 1989 Algebraic multigrid for Markov chains. Zbl 1210.65016De 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 0816.65076McCormick, Stephen F. 8 1994 An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems. Zbl 0303.65046McCormick, Steve F. 8 1975 On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055McCormick, Stephen; Miao, Pengzi 7 2019 Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. Zbl 1410.76321Adler, 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 1381.76173Heys, 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 1212.65478De 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 1164.65516Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve 7 2004 First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F. 7 2000 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082Liu, C.; Liu, Z.; McCormick, S. 7 1992 Multilevel projection methods for partial differential equations. Zbl 0781.65098McCormick, Stephen F. 7 1992 Newton’s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems. Zbl 0352.65048Allgower, E. L.; McCormick, S. F. 7 1978 A general approach to one-step iterative methods with application to eigenvalue problems. Zbl 0265.65023McCormick, Steve F. 7 1972 Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi 6 2017 Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. 6 2015 Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. 6 2010 Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317Codd, 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 0968.76035Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F. 6 2000 First-order system least squares for the Oseen equations. Zbl 1198.76024Kim, 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 1044.65078Manteuffel, T.; McCormick, S.; Pflaum, C. 5 2003 A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097Manteuffel, 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 0792.65099McCormick, Stephen F.; Wade, J. Gordon 5 1993 Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077Mandel, 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 0641.00031McCormick, S. F. (ed.) 5 1988 Unigrid for multigrid simulation. Zbl 0563.65065McCormick, S. F.; Ruge, J. W. 5 1983 Simultaneous iteration for the matrix eigenvalue problem. Zbl 0353.65022McCormick, S. F.; Noe, T. 5 1977 Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. Zbl 1282.76193Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L. 4 2013 Spatial multigrid for isotropic neutron transport. Zbl 1149.65100Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. 4 2007 First-order system least squares and electrical impedance tomography. Zbl 1073.78020MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F. 4 2004 Parallel multigrid methods. Zbl 0865.65088Jones, Jim E.; McCormick, Stephen F. 4 1997 Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100Hu, 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 0686.65072McCormick, S.; Quinlan, D. 4 1989 An adaptive differential correction algorithm. Zbl 0512.41015Kaufman, E. H. jun.; McCormick, S. F.; Taylor, G. D. 4 1983 Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John 3 2014 Parallel adaptive mesh refinement for first-order system least squares. Zbl 1274.65311Brezina, M.; Garcia, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Tang, L. 3 2012 Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). Zbl 1274.65269Brezina, M.; Ketelsen, C.; Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. 3 2012 Asynchronous fast adaptive composite-grid methods: Numerical results. Zbl 1045.65111Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J. 3 2003 A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. 3 1996 A parallel version of a multigrid algorithm for isotropic transport equations. Zbl 0799.65154Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. 3 1994 Multigrid methods on a hypercube. Zbl 0652.65075Briggs, 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 0527.65071Gary, John; McCormick, Steve; Sweet, Roland 3 1983 Uniform rational approximation on large data sets. Zbl 0486.65009Kaufman, E. H. jun.; McCormick, S. F.; Taylor, G. D. 3 1982 Evaluation of functions on microcomputers: square root. Zbl 0416.65013Andrews, 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 0382.65039McCormick, S. F. 3 1978 On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055McCormick, Stephen; Miao, Pengzi 7 2019 Asymptotically hyperbolic extensions and an analogue of the Bartnik mass. Zbl 1396.53057Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen 1 2018 On a Minkowski-like inequality for asymptotically flat static manifolds. Zbl 06904498McCormick, Stephen 1 2018 Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi 6 2017 Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. 6 2015 A note on mass-minimising extensions. Zbl 1335.83010McCormick, Stephen 1 2015 Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007Brezina, 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 1282.76193Adler, 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 1408.76368Liu, 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 1274.65311Brezina, M.; Garcia, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Tang, L. 3 2012 Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). Zbl 1274.65269Brezina, 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 1368.65227Adler, 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 1210.65075Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G. 18 2010 Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011De 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 1410.76469Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. 9 2010 Algebraic multigrid for Markov chains. Zbl 1210.65016De 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 1410.76321Adler, 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 1381.76173Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Milano, M.; Westerdale, J.; Belohlavek, M. 7 2010 Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115Manteuffel, 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 1240.65319Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Sanders, G. 2 2010 An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics. Zbl 1280.76064Adler, J.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L. 2 2010 Least-squares finite element methods for quantum electrodynamics. Zbl 1208.81201Brannick, J.; Ketelsen, C.; Manteuffel, T.; McCormick, S. 1 2010 Enhanced mass conservation in least-squares methods for Navier-Stokes equations. Zbl 1188.76195Heys, 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 1173.65028de 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 1212.65478De 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 1212.65149Brezina, 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 1123.76032Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 12 2007 Spatial multigrid for isotropic neutron transport. Zbl 1149.65100Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. 4 2007 Adaptive algebraic multigrid. Zbl 1100.65025Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J. 28 2006 On mass-conserving least-squares methods. Zbl 1388.76052Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 14 2006 An energy-based AMG coarsening strategy. Zbl 1174.65542Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 13 2006 Adaptive reduction-based AMG. Zbl 1174.65549MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve 11 2006 First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R. 10 2006 First-order system least squares for the Oseen equations. Zbl 1198.76024Kim, 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 1145.65108Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver; Ruge, John 1 2006 Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 34 2005 Algebraic multigrid for higher-order finite elements. Zbl 1060.65673Heys, 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 1087.65115Berndt, 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 1103.65117Manteuffel, 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 1087.65114Berndt, 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 1083.65092De 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 1105.65346De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke 17 2004 Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135Brezina, 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 1115.74320Heys, 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 1164.65516Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve 7 2004 First-order system least squares and electrical impedance tomography. Zbl 1073.78020MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F. 4 2004 Asynchronous fast adaptive composite-grid methods for elliptic problems: theoretical foundations. Zbl 1079.65120Lee, Barry; McCormick, Stephen F.; Philip, Bobby; Quinlan, Daniel J. 2 2004 Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096Chartier, 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 1130.65315Codd, A. L.; Manteuffel, T. A.; McCormick, S. F. 11 2003 Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. 6 2003 Improved discretization error estimates for first-order system least squares. Zbl 1044.65078Manteuffel, T.; McCormick, S.; Pflaum, C. 5 2003 Asynchronous fast adaptive composite-grid methods: Numerical results. Zbl 1045.65111Lee, 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 1008.65085Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. 13 2001 A multigrid tutorial. 2nd ed. Zbl 0958.65128Briggs, William L.; Henson, Van Emden; McCormick, Steve F. 315 2000 First-order system least-squares for the Helmholtz equation. Zbl 0957.65097Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. 20 2000 First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061Cai, 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 0968.76035Cai, 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 0990.74068Kim, 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 0970.76069Ruge, 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 0960.76044Bochev, 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 0910.76032Bochev, 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 0968.74061Cai, 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 0911.65108Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F. 11 1998 First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 76 1997 First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052Cai, Z.; Manteuffel, T. A.; McCormick, S. F. 69 1997 Control-volume mixed finite element methods. Zbl 0941.76050Cai, 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 0889.65112Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F. 17 1997 Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 14 1997 Parallel multigrid methods. Zbl 0865.65088Jones, Jim E.; McCormick, Stephen F. 4 1997 A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. 3 1996 Multilevel image reconstruction with natural pixels. Zbl 0838.92016Henson, 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 0856.76010Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 23 1995 A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. 5 1995 Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100Hu, 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 0813.65119Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 121 1994 Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory. Zbl 0816.65076McCormick, Stephen F. 8 1994 A parallel version of a multigrid algorithm for isotropic transport equations. Zbl 0799.65154Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. 3 1994 A finite volume convergence theory for the fast adaptive composite grid methods. Zbl 0811.65087McCormick, Steve; Rüde, Ulrich 2 1994 Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography. Zbl 0792.65099McCormick, Stephen F.; Wade, J. Gordon 5 1993 Multilevel projection methods for partial differential equations. Zbl 0788.65111McCormick, Steve 1 1993 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082Liu, C.; Liu, Z.; McCormick, S. 7 1992 Multilevel projection methods for partial differential equations. Zbl 0781.65098McCormick, Stephen F. 7 1992 The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 103 1991 Multigrid methods for flow transition in a planar channel. Zbl 0900.76080Liu, C.; Liu, Z.; McCormick, S. 2 1991 Multilevel adaptive methods for incompressible flow in grooved channels. Zbl 0742.76056Liu, C.; Liu, Z.; McCormick, S. 2 1991 On the accuracy of the finite volume element method for diffusion equations on composite grids. Zbl 0707.65073Cai, Zhiqiang; McCormick, Steve 79 1990 The realization problem for a class of nonlinear systems. Zbl 0706.93012Li, Tiejun; McCormick, S. F. 1 1990 Computational complexity of the fast adaptive composite grid (FAC) method. Zbl 0697.65076McCormick, Steve F.; McKay, Steven M.; Thomas, J. W. 1 1990 Multilevel adaptive methods for partial differential equations. Zbl 0707.65080McCormick, Stephen F. 73 1989 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071Hart, L.; McCormick, S. 15 1989 A multilevel variational method for \(Au=\lambda Bu\) on composite grids. Zbl 0674.65013Mandel, Jan; McCormick, Steve 10 1989 Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076Mandel, Jan; McCormick, Steve 9 1989 Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077Mandel, Jan; McCormick, Steve 5 1989 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Performance results. Zbl 0686.65072McCormick, S.; Quinlan, D. 4 1989 Computational complexity of the Schwarz alternating procedure. Zbl 0726.65029Cai, Zhiqiang; McCormick, Steve 1 1989 An algebraic theory for multigrid methods for variational problems. Zbl 0647.65070Mandel, 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 0641.00031McCormick, S. F. (ed.) 5 1988 Multigrid methods on a hypercube. Zbl 0652.65075Briggs, B.; Hart, L.; McCormick, S.; Quinlan, D. 3 1988 Applications of the fast adaptive composite grid method. Zbl 0648.65073Heroux, M.; McCormick, S.; McKay, S.; Thomas, J. W. 1 1988 Multigrid methods. Zbl 0659.65094McCormick, Stephen F. (ed.) 68 1987 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 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. ...and 1,914 more Authors all top 5 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. 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