Edit Profile (opens in new tab) Manteuffel, Thomas A. Co-Author Distance Author ID: manteuffel.thomas-a Published as: Manteuffel, Thomas A.; Manteuffel, T. A.; Manteuffel, T.; Manteuffel, Tom; Manteuffel, Thomas more...less External Links: dblp Documents Indexed: 143 Publications since 1977, including 1 Additional arXiv Preprint 5 Contributions as Editor Co-Authors: 116 Co-Authors with 139 Joint Publications 2,833 Co-Co-Authors all top 5 Co-Authors 9 single-authored 69 McCormick, Steve Fahrney 20 Ruge, J. 16 Ruge, John W. 11 Brezina, Marian 9 Cai, Zhiqiang 9 White, Andrew B. jun. 8 Faber, Vance 8 Falgout, Robert D. 8 Sanders, Geoffrey D. 7 Adler, James H. 7 De Sterck, Hans 7 Heys, Jeffrey J. 7 Lee, Eunjung 7 Tang, Lei 6 Olson, Luke N. 5 Ashby, Steven F. 5 MacLachlan, Scott P. 5 Parter, Seymour V. 5 Southworth, Ben S. 4 Ketelsen, Christian 4 Nolting, Joshua W. 4 Otto, James S. 4 Schroder, Jacob B. 4 Starke, Gerhard 4 Westphal, Chad R. 3 Austin, Travis M. 3 Barth, Teri L. 3 Berndt, Markus 3 Brannick, James J. 3 Lee, Chang-Ock 3 Miller, Killian 3 Münzenmaier, Steffen 3 Röhrle, Oliver 3 Saylor, Paul E. 3 Yavneh, Irad 2 Belohlavek, Marek 2 Benzi, Michele 2 Bochev, Pavel B. 2 Cai, Xiao-Chuan 2 Chin, Raymond C. Y. 2 Codd, A. L. 2 Duff, Iain S. 2 Elman, Howard C. 2 Fox, Alyson L. 2 Henson, Van Emden 2 Jones, Jim E. 2 Jordan, Kirk E. 2 Joubert, Wayne D. 2 Kalchev, Delyan Z. 2 Kelley, Tim 2 Kilmer, Misha Elena 2 Kim, Sangdong 2 Lee, Barry 2 Leibs, Christopher A. 2 Leyffer, Sven 2 Liu, Kuo 2 Rajaram, Harihar 2 Ressel, Klaus J. 2 Schmidt, Jens Georg 2 Silvester, David J. 2 Tuminaro, Ray S. 2 Vassilevski, Panayot Spirov 2 Walker, Homer F. 2 Wendroff, Burton 2 Woodward, Carol S. 1 Appelhans, David J. 1 Baker, Allison H. 1 Bru, Rafael 1 Chartier, Timothy P. 1 Chaudhry, Jehanzeb Hameed 1 Chow, Edmond 1 Chung, Fan 1 Cleary, Andrew J. 1 Cyr, Eric C. 1 de Pillis, John 1 Doostan, Alireza 1 Emerson, D. B. 1 Fiard, J. M. 1 Freund, Roland W. 1 Ginestar, Damián 1 Goldstein, Charles I. 1 Holst, Michael J. 1 Hu, Xiancheng 1 Hyman, James M. 1 Jamroz, Ben 1 Jessup, Elizabeth R. 1 Jhurani, Chetan 1 Keyes, David Elliot 1 Knill, Emanuel 1 Knoll, Dana A. 1 Kreiss, Heinz-Otto 1 Lazarov, Raytcho D. 1 Leibs, Chris 1 Levermore, C. David 1 Liu, Chun 1 Livshits, Irene 1 Maclachlan, Colin 1 MacMillan, Hugh R. 1 Mas, José 1 McMahon, Eileen M. ...and 16 more Co-Authors all top 5 Serials 42 SIAM Journal on Scientific Computing 37 SIAM Journal on Numerical Analysis 18 Numerical Linear Algebra with Applications 6 Journal of Computational Physics 5 ETNA. Electronic Transactions on Numerical Analysis 4 Mathematics of Computation 4 SIAM Journal on Scientific and Statistical Computing 4 SIAM Journal on Matrix Analysis and Applications 3 Numerische Mathematik 2 Computers & Mathematics with Applications 2 BIT 1 International Journal for Numerical Methods in Engineering 1 Advances in Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Discrete Mathematics 1 SIAM Review 1 Computers and Mathematics with Applications. Part A 1 Advances in Computational Mathematics 1 Journal of Numerical Mathematics 1 Lecture Notes in Pure and Applied Mathematics all top 5 Fields 135 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 2,306 times in 1,360 Documents Cited by ▼ Year ▼ 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 Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024 Manteuffel, Thomas A. 117 1977 An incomplete factorization technique for positive definite linear systems. Zbl 0422.65018 Manteuffel, T. A. 88 1980 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 Necessary and sufficient conditions for the existence of a conjugate gradient method. Zbl 0546.65010 Faber, Vance; Manteuffel, Thomas 74 1984 A taxonomy for conjugate gradient methods. Zbl 0723.65018 Ashby, Steven F.; Manteuffel, Thomas A.; Saylor, Paul E. 68 1990 The numerical solution of second order boundary value problems on nonuniform meshes. Zbl 0635.65092 Manteuffel, Thomas A.; White, Andrew B. jun. 60 1986 Supra-convergent schemes on irregular grids. Zbl 0619.65055 Kreiss, H.-O.; Manteuffel, T. A.; Swartz, B.; Wendroff, B.; White, A. B. jun. 59 1986 Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration. Zbl 0413.65032 Manteuffel, Thomas A. 54 1978 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 A technique for accelerating the convergence of restarted GMRES. Zbl 1086.65025 Baker, A. H.; Jessup, E. R.; Manteuffel, T. 47 2005 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 Robustness and scalability of algebraic multigrid. Zbl 0959.65049 Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Emden; Jones, Jim E.; Manteuffel, Thomas A. 42 2000 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 Preconditioning and boundary conditions. Zbl 0713.65064 Manteuffel, Thomas A.; Parter, Seymour V. 34 1990 On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations. Zbl 0718.65043 Faber, V.; Manteuffel, Thomas A.; Parter, Seymour V. 33 1990 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 An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian. Zbl 0808.05072 Chung, F. R. K.; Faber, V.; Manteuffel, Thomas A. 26 1994 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 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 Adaptive polynomial preconditioning for Hermitian indefinite linear systems. Zbl 0688.65024 Ashby, Steven F.; Manteuffel, Thomas A.; Saylor, Paul E. 21 1989 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 Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135 Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J. 20 2004 Supplement to the numerical solution of second order boundary value problems on nonuniform meshes. Zbl 0635.65093 Manteuffel, Thomas A.; White, Andrew B. jun. 19 1986 Optimal parameters for linear second-degree stationary iterative methods. Zbl 0486.65020 Manteuffel, T. A. 19 1982 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 Orthogonal error methods. Zbl 0613.65030 Faber, Vance; Manteuffel, Thomas A. 19 1987 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 Nonsymmetric reduction-based algebraic multigrid. Zbl 1436.65027 Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben 18 2019 A boundary functional for the least-squares finite-element solution of neutron transport problems. Zbl 0949.65142 Manteuffel, Thomas A.; Ressel, Klaus J.; Starke, Gerhard 17 2000 Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities. Zbl 1129.65087 Lee, E.; Manteuffel, T. A.; Westphal, C. R. 17 2006 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 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 Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. Zbl 1170.65095 Lee, E.; Manteuffel, T. A.; Westphal, C. R. 16 2008 Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066 Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 16 2017 Nonsymmetric algebraic multigrid based on local approximate ideal restriction (\(\ell\)AIR). Zbl 1412.65130 Manteuffel, Thomas A.; Ruge, John; Southworth, Ben S. 16 2018 ADI as a preconditioning for solving the convection-diffusion equation. Zbl 0549.65068 Chin, Raymond C. Y.; Manteuffel, Thomas A.; de Pillis, John 15 1984 On hybrid iterative methods for nonsymmetric systems of linear equations. Zbl 0864.65014 Manteuffel, Thomas A.; Starke, Gerhard 15 1996 FOSLL\(^*\) method for the eddy current problem with three-dimensional edge singularities. Zbl 1137.78342 Lee, Eunjung; Manteuffel, Thomas A. 14 2007 The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025 Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E. 14 2001 Adaptive reduction-based AMG. Zbl 1174.65549 MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve 14 2006 Optimal equivalent preconditioners. Zbl 0782.65048 Manteuffel, Thomas; Otto, James 14 1993 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 Least-squares finite-element solution of the neutron transport equation in diffusive regimes. Zbl 0956.65125 Manteuffel, Thomas A.; Ressel, Klaus J. 13 1998 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 An analysis of block successive overrelaxation for a class of matrices with complex spectra. Zbl 0655.65060 Chin, R. C. Y.; Manteuffel, Thomas A. 12 1988 Minimal residual method stronger than polynomial preconditioning. Zbl 0862.65019 Faber, V.; Joubert, W.; Knill, E.; Manteuffel, T. 12 1996 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 On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method. Zbl 0838.65031 Manteuffel, Thomas A.; Otto, James S. 11 1994 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 Preconditioning and boundary conditions without \(H_ 2\) estimates: \(L_ 2\) condition numbers and the distribution of the singular values. Zbl 0773.65033 Goldstein, C. I.; Manteuffel, Thomas A.; Parter, Seymour V. 10 1993 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 Constrained optimization for liquid crystal equilibria. Zbl 1427.76028 Adler, J. H.; Emerson, D. B.; MacLachlan, S. P.; Manteuffel, T. A. 10 2016 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 Shifted incomplete Cholesky factorization. Zbl 0406.65017 Manteuffel, Thomas A. 9 1979 Enhancing least-squares finite element methods through a quantity-of-interest. Zbl 1312.65186 Chaudhry, Jehanzeb Hameed; Cyr, Eric C.; Liu, Kuo; Manteuffel, Thomas A.; Olson, Luke N.; Tang, Lei 9 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 Multiple recursion conjugate gradient algorithms part I: Sufficient conditions. Zbl 0995.65033 Barth, Teri; Manteuffel, Thomas 8 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 Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115 Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J. 8 2010 A root-node-based algebraic multigrid method. Zbl 1392.65064 Manteuffel, Thomas A.; Olson, Luke N.; Schroder, Jacob B.; Southworth, Ben S. 8 2017 An interval analysis approach to rank determination in linear least squares problems. Zbl 0471.65022 Manteuffel, Thomas A. 7 1981 A comparison of adaptive Chebyshev and least squares polynomial preconditioning for Hermitian positive definite linear systems. Zbl 0745.65019 Ashby, Steven F.; Manteuffel, Thomas A.; Otto, James S. 7 1992 Spatial multigrid for isotropic neutron transport. Zbl 1149.65100 Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B. 7 2007 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 Iterative schemes for the neutron diffusion equation. Zbl 1103.82321 Bru, R.; Ginestar, D.; Marin, J.; Verdú, G.; Mas, J.; Manteuffel, T. 6 2002 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 FOSLL* for nonlinear partial differential equations. Zbl 1325.65155 Lee, Eunjung; Manteuffel, Thomas A.; Westphal, Chad R. 6 2015 Improved discretization error estimates for first-order system least squares. Zbl 1044.65078 Manteuffel, T.; McCormick, S.; Pflaum, C. 5 2003 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 Convergence in norm of nonsymmetric algebraic multigrid. Zbl 1436.65051 Manteuffel, Tom; Southworth, Ben S. 5 2019 On the efficient numerical solution of systems of second order boundary value problems. Zbl 0635.65091 Manteuffel, Thomas A.; White, Andrew B. jun. 4 1986 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 Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains. Zbl 1230.65013 De Sterck, H.; Miller, K.; Manteuffel, T.; Sanders, G. 4 2011 First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528 Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L. 4 2011 First-order system least squares and electrical impedance tomography. Zbl 1073.78020 MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F. 4 2004 A calculus of difference schemes for the solution of boundary-value problems on irregular meshes. Zbl 0762.65048 Manteuffel, Thomas A.; White, Andrew B. jun. 4 1992 A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101 Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. 4 1996 Variable metric conjugate gradient methods. Zbl 0811.65027 Barth, Teri; Manteuffel, Thomas 4 1994 Multigrid reduction in time with Richardson extrapolation. Zbl 1473.65158 Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 2 2021 Nonsymmetric reduction-based algebraic multigrid. Zbl 1436.65027 Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben 18 2019 Convergence in norm of nonsymmetric algebraic multigrid. Zbl 1436.65051 Manteuffel, Tom; Southworth, Ben S. 5 2019 Nonsymmetric algebraic multigrid based on local approximate ideal restriction (\(\ell\)AIR). Zbl 1412.65130 Manteuffel, Thomas A.; Ruge, John; Southworth, Ben S. 16 2018 Mixed \((\mathcal{L}\mathcal{L}^*)\) and \(\mathcal{L}\mathcal{L}^*\) least-squares finite element methods with application to linear hyperbolic problems. Zbl 1499.65667 Kalchev, Delyan Z.; Manteuffel, Thomas A.; Münzenmaier, Steffen 3 2018 Algebraic multigrid for directed graph Laplacian linear systems (NS-LAMG). Zbl 1513.65069 Fox, Alyson; Manteuffel, Thomas 2 2018 Advances in implementation, theoretical motivation, and numerical results for the nested iteration with range decomposition algorithm. Zbl 1499.65716 Mitchell, Wayne; Manteuffel, Tom 1 2018 Exploring basal sliding with a fluidity-based, ice-sheet model using FOSLS. Zbl 1513.65062 Allen, Jeffery; Manteuffel, Tom; Rajaram, Harihar 1 2018 Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066 Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 16 2017 A root-node-based algebraic multigrid method. Zbl 1392.65064 Manteuffel, Thomas A.; Olson, Luke N.; Schroder, Jacob B.; Southworth, Ben S. 8 2017 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 A fluidity-based first-order system least-squares method for ice sheets. Zbl 1387.86051 Allen, Jeffery; Leibs, Chris; Manteuffel, Tom; Rajaram, Harihar 1 2017 Constrained optimization for liquid crystal equilibria. Zbl 1427.76028 Adler, J. H.; Emerson, D. B.; MacLachlan, S. P.; Manteuffel, T. A. 10 2016 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 FOSLL* for nonlinear partial differential equations. Zbl 1325.65155 Lee, Eunjung; Manteuffel, Thomas A.; Westphal, Chad R. 6 2015 Nested iteration and first-order systems least squares for a two-fluid electromagnetic Darwin model. Zbl 1325.82016 Leibs, C. A.; Manteuffel, T. A. 3 2015 Least-squares finite element discretization of the neutron transport equation in spherical geometry. Zbl 1457.65199 Ketelsen, C.; Manteuffel, T.; Schroder, J. B. 2 2015 Enhancing least-squares finite element methods through a quantity-of-interest. Zbl 1312.65186 Chaudhry, Jehanzeb Hameed; Cyr, Eric C.; Liu, Kuo; Manteuffel, Thomas A.; Olson, Luke N.; Tang, Lei 9 2014 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 Echocardiographic particle imaging velocimetry data assimilation with least square finite element methods. Zbl 1365.92055 Rajaraman, Prathish K.; Manteuffel, T. A.; Belohlavek, M.; McMahon, E.; Heys, Jeffrey J. 1 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 Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes. Zbl 1245.65032 Austin, Travis M.; Brezina, Marian; Jamroz, Ben; Jhurani, Chetan; Manteuffel, Thomas A.; Ruge, John 4 2012 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 Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains. Zbl 1230.65013 De Sterck, H.; Miller, K.; Manteuffel, T.; Sanders, G. 4 2011 First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528 Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L. 4 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 Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. Zbl 1170.65095 Lee, E.; Manteuffel, T. A.; Westphal, C. R. 16 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 FOSLL\(^*\) method for the eddy current problem with three-dimensional edge singularities. Zbl 1137.78342 Lee, Eunjung; Manteuffel, Thomas A. 14 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 Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities. Zbl 1129.65087 Lee, E.; Manteuffel, T. A.; Westphal, C. R. 17 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 A least-squares finite element method for the linear Boltzmann equation with anisotropic scattering. Zbl 1116.65118 Austin, Travis M.; Manteuffel, Thomas A. 1 2006 A technique for accelerating the convergence of restarted GMRES. Zbl 1086.65025 Baker, A. H.; Jessup, E. R.; Manteuffel, T. 47 2005 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 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 Algebraic elimination of slide surface constraints in implicit structural analysis. Zbl 1062.74650 Chow, Edmond; Manteuffel, Thomas A.; Tong, Charles; Wallin, Bradley K. 3 2003 A moment-parity multigrid preconditioner for the first-order system least-squares formulation of the Boltzmann transport equation. Zbl 1042.65105 Brown, P. N.; Lee, B.; Manteuffel, T. A. 1 2003 Iterative schemes for the neutron diffusion equation. Zbl 1103.82321 Bru, R.; Ginestar, D.; Marin, J.; Verdú, G.; Mas, J.; Manteuffel, T. 6 2002 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 The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025 Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E. 14 2001 Robustness and scalability of algebraic multigrid. Zbl 0959.65049 Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Emden; Jones, Jim E.; Manteuffel, Thomas A. 42 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 A boundary functional for the least-squares finite-element solution of neutron transport problems. Zbl 0949.65142 Manteuffel, Thomas A.; Ressel, Klaus J.; Starke, Gerhard 17 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 Multiple recursion conjugate gradient algorithms part I: Sufficient conditions. Zbl 0995.65033 Barth, Teri; Manteuffel, Thomas 8 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 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 Least-squares finite-element solution of the neutron transport equation in diffusive regimes. Zbl 0956.65125 Manteuffel, Thomas A.; Ressel, Klaus J. 13 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 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 On hybrid iterative methods for nonsymmetric systems of linear equations. Zbl 0864.65014 Manteuffel, Thomas A.; Starke, Gerhard 15 1996 Minimal residual method stronger than polynomial preconditioning. Zbl 0862.65019 Faber, V.; Joubert, W.; Knill, E.; Manteuffel, T. 12 1996 A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101 Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G. 4 1996 Conjugate gradient algorithms using multiple recursions. Zbl 0867.65010 Barth, Teri L.; Manteuffel, Thomas A. 2 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 Adaptive \(k\)-step iterative methods for nonsymmetric systems of linear equations. Zbl 0858.65036 Manteuffel, Thomas A.; Starke, Gerhard; Varga, Richard S. 1 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,886 Authors 32 Manteuffel, Thomas A. 22 Vassilevski, Panayot Spirov 21 Yang, Suh-Yuh 20 Karátson, János 16 Axelsson, Axel Owe Holger 16 Hadjidimos, Apostolos 16 MacLachlan, Scott P. 16 Schroder, Jacob B. 15 Southworth, Ben S. 14 Duan, Huoyuan 13 Cai, Zhiqiang 13 Lee, Eunjung 12 Kim, Sangdong 11 Gerritsma, Marc I. 11 Ku, Jaeun 11 Olson, Luke N. 10 Adler, James H. 10 Ferreira, José Augusto 10 Guo, Hui 10 McCormick, Steve Fahrney 10 Schwarz, Alexander 9 Reichel, Lothar 9 Rui, Hongxing 9 Schröder, Jörg 9 Wathen, Andrew John 9 Zhang, Jun 8 De Sterck, Hans 8 Demkowicz, Leszek F. 8 Lee, Hsueh-Chen 8 Reddy, Junuthula Narasimha 8 Saad, Yousef 8 Shin, Byeong Chun 8 Tan, Roger C. 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