Edit Profile (opens in new tab) McCormick, Steve Fahrney Co-Author Distance Author ID: mccormick.steve-f Published as: McCormick, S. F.; McCormick, S.; McCormick, Stephen F.; McCormick, Steve; McCormick, Steve F.; Mccormick, S. F.; McCormick, Stephen; McCormick, St. F. more...less Homepage: https://grandmaster.colorado.edu/~stevem/ External Links: MGP · dblp Documents Indexed: 149 Publications since 1972, including 3 Books and 5 Additional arXiv Preprints 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 126 Reviews Co-Authors: 101 Co-Authors with 130 Joint Publications 2,691 Co-Co-Authors all top 5 Co-Authors 24 single-authored 69 Manteuffel, Thomas A. 23 Ruge, J. 18 Ruge, John W. 14 Cai, Zhiqiang 10 Brezina, Marian 7 Mandel, Jan 7 Tamstorf, Rasmus 6 De Sterck, Hans 6 Heys, Jeffrey J. 6 Liu, Chaoqun 6 Sanders, Geoffrey D. 6 Tang, Lei 6 Taylor, Gerald D. 5 Adler, James H. 5 Benzaken, Joseph 5 Falgout, Robert D. 4 Allgower, Eugene L. 4 Henson, Van Emden 4 MacLachlan, Scott P. 4 Nolting, Joshua W. 4 Olson, Luke N. 4 Quinlan, Daniel J. 4 Thomas, James William 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 2 Benzi, Michele 2 Bochev, Pavel B. 2 Böhmer, Klaus 2 Brannick, James J. 2 Briggs, William L. 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 Elena 2 Kim, Sangdong 2 Leyffer, Sven 2 Limber, Mark A. 2 Mckay, Steven M. 2 Miller, Killian 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 Bates, J. R. 1 Belohlavek, Marek 1 Chartier, Timothy P. 1 Chen, PoNing 1 Doostan, Alireza 1 Evans, John A. 1 Fiard, J. M. 1 Freund, Roland W. 1 Gary, John M. 1 Hemker, Pieter W. 1 Heroux, Michael A. 1 Holland, Wilbur Charles jun. 1 Hu, Xiancheng 1 Johnson, Gary M. 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Kohl, Nils 1 Kröncke, Klaus 1 Lazarov, Raytcho D. 1 Li, Tiejun 1 Li, Yong 1 Liu, Kuo 1 Liu, Zhaoli 1 Liu, Zhining 1 Liu, Zhixing 1 Livshits, Irene 1 Longsine, D. E. 1 Maclachlan, Colin 1 MacMillan, Hugh R. 1 Noe, T. 1 O’Gallagher, Abbie 1 Parter, Seymour V. 1 Pflaum, Christoph 1 Rodrigue, Garry H. 1 Shadid, John N. 1 Starke, Gerhard ...and 7 more Co-Authors all top 5 Serials 34 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 Methods in Applied Mechanics and Engineering 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 IMRN. International Mathematics Research Notices 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 138 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 10 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 Differential geometry (53-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 Relativity and gravitational theory (83-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) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 2,589 times in 1,676 Documents Cited by ▼ Year ▼ A multigrid tutorial. 2nd ed. Zbl 0958.65128 Briggs, William L.; Henson, Van Emden; McCormick, Steve F. 444 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. 144 1994 The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086 Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 123 1991 Algebraic multigrid (AMG) for sparse matrix equations. Zbl 0548.65014 Brandt, A.; McCormick, S.; Ruge, J. 111 1984 On the accuracy of the finite volume element method for diffusion equations on composite grids. Zbl 0707.65073 Cai, Zhiqiang; McCormick, Steve 91 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. 86 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. 76 1997 Multigrid methods. Zbl 0659.65094 66 1987 Multilevel adaptive methods for partial differential equations. Zbl 0707.65080 McCormick, Stephen F. 59 1989 The fast adaptive composite grid (FAC) method for elliptic equations. Zbl 0594.65078 McCormick, S.; Thomas, J. 58 1986 Control-volume mixed finite element methods. Zbl 0941.76050 Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F. 50 1997 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. 48 1998 Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042 Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 46 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. 43 2003 Adaptive algebraic multigrid. Zbl 1100.65025 Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J. 40 2006 Algebraic multigrid for higher-order finite elements. Zbl 1060.65673 Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N. 36 2005 Multigrid methods for differential eigenproblems. Zbl 0517.65083 Brandt, A.; McCormick, S.; Ruge, J. 30 1983 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 30 2004 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. 28 1995 Multigrid methods for variational problems: General theory for the V- cycle. Zbl 0602.65038 McCormick, S. F. 28 1985 Multigrid methods for variational problems: Further results. Zbl 0534.65063 McCormick, S. F. 27 1984 Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044 Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F. 25 1999 First-order system least-squares for the Helmholtz equation. Zbl 0957.65097 Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. 25 2000 Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112 Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F. 25 1997 Multigrid methods for variational problems. Zbl 0499.65032 McCormick, S. F.; Ruge, J. W. 24 1982 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. 23 2001 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 23 2008 On mass-conserving least-squares methods. Zbl 1388.76052 Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 21 2006 Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075 Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G. 21 2010 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. 21 1998 Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx. Zbl 0475.65021 Longsine, D. E.; McCormick, S. F. 21 1980 Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135 Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 20 2004 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. 19 2011 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 19 2005 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. 18 2007 An algebraic theory for multigrid methods for variational problems. Zbl 0647.65070 Mandel, J.; McCormick, Steve; Ruge, John 17 1988 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071 Hart, L.; McCormick, S. 17 1989 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 17 2005 The method of Kaczmarz and row orthogonalization for solving linear equations and least squares problems in Hilbert space. Zbl 0341.65046 McCormick, S. F. 17 1977 Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030 Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 17 1997 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. 16 2010 An energy-based AMG coarsening strategy. Zbl 1174.65542 Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 16 2006 An algebraic interpretation of multigrid methods. Zbl 0483.65061 McCormick, S. F. 14 1982 Fast adaptive composite grid (FAC) methods: Theory for the variational case. Zbl 0552.65071 McCormick, S. 14 1984 Adaptive reduction-based AMG. Zbl 1174.65549 MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve 14 2006 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. 13 2009 Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315 Codd, A. L.; Manteuffel, T. A.; McCormick, S. F. 13 2003 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. 13 2004 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. 13 2005 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 13 2004 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. 13 2015 Nitsche’s method for linear Kirchhoff-Love shells: formulation, error analysis, and verification. Zbl 1506.74185 Benzaken, Joseph; Evans, John A.; McCormick, Stephen F.; Tamstorf, Rasmus 12 2021 A multilevel variational method for \(Au=\lambda Bu\) on composite grids. Zbl 0674.65013 Mandel, Jan; McCormick, Steve 11 1989 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 geometrically nonlinear elasticity. Zbl 1120.74012 Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R. 11 2006 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 incompressible resistive magnetohydrodynamics. Zbl 1410.76469 Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W. 10 2010 An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems. Zbl 0303.65046 McCormick, Steve F. 10 1975 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. 10 2008 Algebraic multigrid for Markov chains. Zbl 1210.65016 De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G. 9 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. 9 2010 First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061 Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F. 9 2000 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. 9 2010 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 Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory. Zbl 0816.65076 McCormick, Stephen F. 9 1994 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082 Liu, C.; Liu, Z.; McCormick, S. 9 1992 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. 9 2013 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. 8 2000 Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115 Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. 8 2010 Multilevel projection methods for partial differential equations. Zbl 0781.65098 McCormick, Stephen F. 8 1992 A general approach to one-step iterative methods with application to eigenvalue problems. Zbl 0265.65023 McCormick, Steve F. 7 1972 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 Spatial multigrid for isotropic neutron transport. Zbl 1149.65100 Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. 7 2007 Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076 Mandel, Jan; McCormick, Steve 6 1989 A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097 Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G. 6 1995 Unigrid for multigrid simulation. Zbl 0563.65065 McCormick, S. F.; Ruge, J. W. 6 1983 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 Oseen equations. Zbl 1198.76024 Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver 6 2006 The fast adaptive composite-grid method (FAC): Algorithms for advanced computers. Zbl 0616.65095 Hart, L.; McCormick, S.; O’Gallagher, A.; Thomas, J. 6 1986 Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography. Zbl 0792.65099 McCormick, Stephen F.; Wade, J. Gordon 6 1993 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 5 1988 Improved discretization error estimates for first-order system least squares. Zbl 1044.65078 Manteuffel, T.; McCormick, S.; Pflaum, C. 5 2003 Simultaneous iteration for the matrix eigenvalue problem. Zbl 0353.65022 McCormick, S. F.; Noe, T. 5 1977 Multigrid methods for flow transition in a planar channel. Zbl 0900.76080 Liu, C.; Liu, Z.; McCormick, S. 5 1991 Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007 Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John 5 2014 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 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 and electrical impedance tomography. Zbl 1073.78020 MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F. 4 2004 A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101 Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. 4 1996 Parallel multigrid methods. Zbl 0865.65088 Jones, Jim E.; McCormick, Stephen F. 4 1997 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. 4 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. 4 2012 Multigrid methods on a hypercube. Zbl 0652.65075 Briggs, B.; Hart, L.; McCormick, S.; Quinlan, D. 3 1988 Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077 Mandel, Jan; McCormick, Steve 3 1989 A mesh refinement method for Ax=lambda Bx. Zbl 0484.65067 McCormick, Stephen F. 3 1981 Uniform rational approximation on large data sets. Zbl 0486.65009 Kaufman, E. H. jun.; McCormick, S. F.; Taylor, G. D. 3 1982 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 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. 3 2010 First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction. Zbl 0990.74068 Kim, Sang Dong; Manteuffel, Thomas A.; McCormick, Stephen F. 3 2000 Nitsche’s method for linear Kirchhoff-Love shells: formulation, error analysis, and verification. Zbl 1506.74185 Benzaken, Joseph; Evans, John A.; McCormick, Stephen F.; Tamstorf, Rasmus 12 2021 Algebraic error analysis for mixed-precision multigrid solvers. Zbl 07418113 McCormick, Stephen F.; Benzaken, Joseph; Tamstorf, Rasmus 3 2021 Discretization-error-accurate mixed-precision multigrid solvers. Zbl 07418114 Tamstorf, Rasmus; Benzaken, Joseph; McCormick, Stephen F. 3 2021 Algebraic error analysis for mixed-precision multigrid solvers. Zbl 07378148 McCormick, Stephen F.; Benzaken, Joseph; Tamstorf, Rasmus 2 2021 Discretization-error-accurate mixed-precision multigrid solvers. Zbl 07378149 Tamstorf, Rasmus; Benzaken, Joseph; McCormick, Stephen F. 2 2021 A low-communication, parallel algorithm for solving PDEs based on range decomposition. Zbl 1424.65264 Appelhans, David J.; Manteuffel, Tom; McCormick, Steve; Ruge, John 2 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. 13 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 5 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. 9 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. 4 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. 4 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. 19 2011 Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075 Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G. 21 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. 16 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. 10 2010 Algebraic multigrid for Markov chains. Zbl 1210.65016 De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G. 9 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. 9 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. 9 2010 Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115 Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. 8 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. 3 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. 2 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. 13 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 23 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. 10 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. 18 2007 Spatial multigrid for isotropic neutron transport. Zbl 1149.65100 Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. 7 2007 Adaptive algebraic multigrid. Zbl 1100.65025 Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J. 40 2006 On mass-conserving least-squares methods. Zbl 1388.76052 Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F. 21 2006 An energy-based AMG coarsening strategy. Zbl 1174.65542 Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 16 2006 Adaptive reduction-based AMG. Zbl 1174.65549 MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve 14 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. 11 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 6 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. 46 2005 Algebraic multigrid for higher-order finite elements. Zbl 1060.65673 Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N. 36 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 19 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 17 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. 13 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 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 30 2004 Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135 Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 20 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. 13 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 13 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. 3 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. 43 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. 13 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. 23 2001 A multigrid tutorial. 2nd ed. Zbl 0958.65128 Briggs, William L.; Henson, Van Emden; McCormick, Steve F. 444 2000 First-order system least-squares for the Helmholtz equation. Zbl 0957.65097 Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. 25 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. 9 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. 8 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. 3 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. 1 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. 25 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. 48 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. 21 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. 86 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. 76 1997 Control-volume mixed finite element methods. Zbl 0941.76050 Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F. 50 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. 25 1997 Multigrid methods for nearly singular linear equations and eigenvalue problems. Zbl 0873.65030 Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 17 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. 4 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. 28 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. 6 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. 144 1994 Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory. Zbl 0816.65076 McCormick, Stephen F. 9 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 6 1993 An efficient multigrid scheme for elliptic equations with discontinuous coefficients. Zbl 0759.65082 Liu, C.; Liu, Z.; McCormick, S. 9 1992 Multilevel projection methods for partial differential equations. Zbl 0781.65098 McCormick, Stephen F. 8 1992 The finite volume element method for diffusion equations on general triangulations. Zbl 0729.65086 Cai, Zhiqiang; Mandel, Jan; McCormick, Steve 123 1991 Multigrid methods for flow transition in a planar channel. Zbl 0900.76080 Liu, C.; Liu, Z.; McCormick, S. 5 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 91 1990 Computational complexity of the fast adaptive composite grid (FAC) method. Zbl 0697.65076 McCormick, Steve F.; McKay, Steven M.; Thomas, J. W. 2 1990 The realization problem for a class of nonlinear systems. Zbl 0706.93012 Li, Tiejun; McCormick, S. F. 1 1990 Multilevel adaptive methods for partial differential equations. Zbl 0707.65080 McCormick, Stephen F. 59 1989 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas. Zbl 0686.65071 Hart, L.; McCormick, S. 17 1989 A multilevel variational method for \(Au=\lambda Bu\) on composite grids. Zbl 0674.65013 Mandel, Jan; McCormick, Steve 11 1989 Iterative solution of elliptic equations with refinement: The two-level case. Zbl 0679.65076 Mandel, Jan; McCormick, Steve 6 1989 Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Performance results. Zbl 0686.65072 McCormick, S.; Quinlan, D. 4 1989 Iterative solution of elliptic equations with refinement: The model multi-level case. Zbl 0679.65077 Mandel, Jan; McCormick, Steve 3 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 17 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 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 66 1987 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,450 Authors 35 McCormick, Steve Fahrney 31 Manteuffel, Thomas A. 29 Vassilevski, Panayot Spirov 26 MacLachlan, Scott P. 19 Yang, Suh-Yuh 18 Yuan, Yirang 17 Xu, Jinchao 16 Luo, Zhendong 16 Rui, Hongxing 14 Cai, Zhiqiang 14 Chen, Chuanjun 14 Olson, Luke N. 14 Schroder, Jacob B. 13 Lee, Eunjung 13 Li, Changfeng 13 Xu, Fei 13 Ye, Xiu 13 Zhang, Jun 12 Kim, Sangdong 12 Li, Yonghai 12 Notay, Yvan 11 Falgout, Robert D. 11 Gaspar, Francisco José 11 Gerritsma, Marc I. 11 Ku, Jaeun 10 Adler, James H. 10 Bramble, James H. 10 Guo, Hui 10 Li, Hong 10 Schwarz, Alexander 10 Tuminaro, Raymond S. 9 Brenner, Susanne Cecelia 9 Duan, Huoyuan 9 Huang, Qiumei 9 Krause, Rolf H. 9 Mandel, Jan 9 Pan, Kejia 9 Pasciak, Joseph E. 9 Rodrigo, Carmen 9 Schröder, Jörg 9 Shadid, John N. 9 Shu, Shi 9 Vanroose, Wim 8 Bi, Chunjia 8 Chen, Zhangxin 8 Demkowicz, Leszek F. 8 Ewing, Richard Edward 8 Fish, Jacob 8 Hu, Xiaozhe 8 Kahl, Karsten 8 Kolev, Tzanio V. 8 Kwak, Do Young 8 Napov, Artem 8 Oosterlee, Cornelis Willebrordus 8 Reddy, Junuthula Narasimha 8 Vuik, Cornelis 8 Xie, Hehu 7 Brezina, Marian 7 Cyr, Eric C. 7 Griebel, Michael 7 Heys, Jeffrey J. 7 Kopaničáková, Alena 7 Lazarov, Raytcho D. 7 Lee, Hsueh-Chen 7 Liu, Jun 7 Liu, Wei 7 Ruge, J. 7 Shin, Byeong Chun 7 Song, Huailing 7 Southworth, Ben S. 7 Taylor, Gerald D. 7 Wall, Wolfgang A. 7 Zikatanov, Ludmil T. 6 Bolten, Matthias 6 Cools, Siegfried 6 De Sterck, Hans 6 Führer, Thomas 6 Gee, Michael W. 6 Hessari, Peyman 6 Kočvara, Michal 6 Lisbona Cortés, Francisco Javier 6 Liu, Jinn-Liang 6 Magoulès, Frédéric 6 Mu, Lin 6 Parter, Seymour V. 6 Rüde, Ulrich 6 Sanders, Geoffrey D. 6 Stevenson, Rob P. 6 Wang, Yin 6 Wen, Chun 6 Yang, Danping 6 Yang, Min 6 Yang, Qing 6 Zhang, Chensong 6 Zhang, Shun 6 Zhou, Aihui 5 Benzaken, Joseph 5 Bochev, Pavel B. 5 Brannick, James J. 5 Carey, Graham Francis ...and 2,350 more Authors all top 5 Cited in 203 Serials 186 Journal of Computational Physics 119 Journal of Computational and Applied Mathematics 108 SIAM Journal on Scientific Computing 99 Computer Methods in Applied Mechanics and Engineering 86 Applied Mathematics and Computation 81 Computers & Mathematics with Applications 81 Numerical Linear Algebra with Applications 67 Applied Numerical Mathematics 45 Numerische Mathematik 40 International Journal for Numerical Methods in Engineering 38 Journal of Scientific Computing 36 Mathematics of Computation 35 Numerical Methods for Partial Differential Equations 23 International Journal for Numerical Methods in Fluids 23 International Journal of Computer Mathematics 22 Computing 20 SIAM Journal on Numerical Analysis 19 Computing and Visualization in Science 18 Computers and Fluids 14 BIT 13 SIAM Journal on Matrix Analysis and Applications 12 Computer Physics Communications 12 Journal of Mathematical Analysis and Applications 12 Numerical Functional Analysis and Optimization 11 Linear Algebra and its Applications 11 Advances in Computational Mathematics 11 Mathematical Problems in Engineering 11 Advances in Applied Mathematics and Mechanics 10 Numerical Algorithms 10 Computational Geosciences 9 Mathematical Methods in the Applied Sciences 9 Communications in Numerical Methods in Engineering 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 M\(^3\)AS. 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