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Viewing Publication 1 - 64 from 64

2021

Algebraic Error Analysis for Mixed-Precision Multigrid SolversStephen F. McCormick, Joseph Benzaken, Rasmus Tamstorf. siamsc, 43(5), 2021. [doi]

Discretization-Error-Accurate Mixed-Precision Multigrid SolversRasmus Tamstorf, Joseph Benzaken, Stephen F. McCormick. siamsc, 43(5), 2021. [doi]

2017

A low-communication, parallel algorithm for solving PDEs based on range decompositionDavid J. Appelhans, Tom Manteuffel, Stephen F. McCormick, John W. Ruge. nla, 24(3), 2017. [doi]

2015

Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD)R. Bank, Robert D. Falgout, Toby Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge. siamsc, 37(5), 2015. [doi]

Smoothed aggregation multigrid for cloth simulationRasmus Tamstorf, Toby Jones, Stephen F. McCormick. tog, 34(6):245, 2015. [doi]

2013

Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive MagnetohydrodynamicsJ. H. Adler, Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, L. Tang. siamsc, 35(5), 2013. [doi]

Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes EquationsK. Liu, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, L. Tang. siamnum, 51(4):2214-2237, 2013. [doi]

2012

Parallel adaptive mesh refinement for first-order system least squaresMarian Brezina, Jose Garcia, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, Lei Tang. nla, 19(2):343-366, 2012. [doi]

rBAMG)Marian Brezina, Christian Ketelsen, Thomas A. Manteuffel, Stephen F. McCormick, Minho Park, John Ruge. nla, 19(2):178-193, 2012. [doi]

2011

Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares FormulationsJ. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, J. W. Nolting, John Ruge, L. Tang. siamsc, 33(1):1-24, 2011. [doi]

2010

First-Order System Least Squares for Incompressible Resistive MagnetohydrodynamicsJ. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamsc, 32(1):229-248, 2010. [doi]

Nested Iteration and First-Order System Least Squares for Incompressible, Resistive MagnetohydrodynamicsJ. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, G. D. Sanders. siamsc, 32(3):1506-1526, 2010. [doi]

Least-Squares Finite Element Methods for Quantum ElectrodynamicsJames J. Brannick, C. Ketelsen, Thomas A. Manteuffel, Stephen F. McCormick. siamsc, 32(1):398-417, 2010. [doi]

Towards Adaptive Smoothed Aggregation (AlphaSA) for Nonsymmetric ProblemsMarian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, G. Sanders. siamsc, 32(1):14-39, 2010. [doi]

Weighted least-squares finite elements based on particle imaging velocimetry dataJ. J. Heys, Thomas A. Manteuffel, Stephen F. McCormick, M. Milano, J. Westerdale, M. Belohlavek. jcphy, 229(1):107-118, 2010. [doi]

Algebraic Multigrid for Markov ChainsHans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, K. Miller, John Ruge, G. Sanders. siamsc, 32(2):544-562, 2010. [doi]

Smoothed Aggregation Multigrid for Markov ChainsHans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, K. Miller, J. Pearson, John Ruge, G. Sanders. siamsc, 32(1):40-61, 2010. [doi]

2009

An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive MagnetohydrodynamicsJ. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, J. Nolting, John Ruge, L. Tang. lssc 2010: 1-13 [doi]

Enhanced Mass Conservation in Least-Squares Methods for Navier--Stokes EquationsJ. J. Heys, E. Lee, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamsc, 31(3):2303-2321, 2009. [doi]

2008

2007

Spatial Multigrid for Isotropic Neutron TransportB. Chang, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, B. Sheehan. siamsc, 29(5):1900-1917, 2007. [doi]

An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservationJeffrey J. Heys, E. Lee, Thomas A. Manteuffel, Stephen F. McCormick. jcphy, 226(1):994-1006, 2007. [doi]

2006

An energy-based AMG coarsening strategyJames J. Brannick, Marian Brezina, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge. nla, 13(2-3):133-148, 2006. [doi]

Adaptive Algebraic MultigridMarian Brezina, Robert D. Falgout, Scott MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamsc, 27(4):1261-1286, 2006. [doi]

On Mass-Conserving Least-Squares MethodsJ. J. Heys, E. Lee, Thomas A. Manteuffel, Stephen F. McCormick. siamsc, 28(5):1675-1693, 2006. [doi]

First-order system least squares for the Oseen equationsSang Dong Kim, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle. nla, 13(7):523-542, 2006. [doi]

First-Order System Least Squares for Geometrically Nonlinear ElasticityThomas A. Manteuffel, Stephen F. McCormick, J. G. Schmidt, C. R. Westphal. siamnum, 44(5):2057-2081, 2006. [doi]

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical ResultsThomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle, John Ruge. siamnum, 44(1):120-138, 2006. [doi]

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical ResultsThomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle. siamnum, 44(1):139-152, 2006. [doi]

2005

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part IMarkus Berndt, Thomas A. Manteuffel, Stephen F. McCormick, Gerhard Starke. siamnum, 43(1):386-408, 2005. [doi]

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part IIMarkus Berndt, Thomas A. Manteuffel, Stephen F. McCormick. siamnum, 43(1):409-436, 2005. [doi]

Adaptive Smoothed Aggregation (AlphaSA) MultigridMarian Brezina, Robert D. Falgout, Scott MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamrev, 47(2):317-346, 2005. [doi]

First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the PlaneThomas A. Manteuffel, Stephen F. McCormick, John Ruge, J. G. Schmidt. siamnum, 43(5):2098-2120, 2005. [doi]

Projection Multilevel Methods for Quasi-linear PDEs: V-cycle TheoryStephen F. McCormick. mmas, 4(4):1339-1348, 2005. [doi]

Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers EquationHans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Luke Olson. siamsc, 26(5):1573-1597, 2005. [doi]

2004

2003

Spectral AMGe (ρAMGe)Tim Chartier, Robert D. Falgout, Van Enden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, Panayot S. Vassilevski. siamsc, 25(1):1-26, 2003. [doi]

Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential EquationsA. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick. siamnum, 41(6):2197-2209, 2003. [doi]

Multilevel First-Order System Least Squares for Elliptic Grid GenerationA. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamnum, 41(6):2210-2232, 2003. [doi]

Asynchronous Fast Adaptive Composite-Grid Methods: Numerical ResultsBarry Lee, Stephen F. McCormick, Bobby Philip, Daniel J. Quinlan. siamsc, 25(2):682-700, 2003. [doi]

Improved discretization error estimates for first-order system least squaresThomas A. Manteuffel, Stephen F. McCormick, Christoph Pflaum. jnma, 11(2):163-177, 2003. [doi]

2001

Algebraic Multigrid Based on Element Interpolation (AMGe)Marian Brezina, Andrew J. Cleary, Robert D. Falgout, Van Enden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge. siamsc, 22(5):1570-1592, 2001. [doi]

* (FOSLL*): Scalar Elliptic Partial Differential EquationsZhiqiang Cai, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. siamnum, 39(4):1418-1445, 2001. [doi]

2000

A multigrid tutorial (2. ed.)William L. Briggs, Henson Van Emden, Stephen F. McCormick. SIAM, 2000.

First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further ResultsZhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick. siamsc, 21(5):1728-1739, 2000. [doi]

First-Order System Least Squares For Linear Elasticity: Numerical ResultsZhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick. siamsc, 21(5):1706-1727, 2000. [doi]

Robustness and Scalability of Algebraic MultigridAndrew J. Cleary, Robert D. Falgout, Henson Van Emden, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, Gerald N. Miranda, John W. Ruge. siamsc, 21(5):1886-1908, 2000. [doi]

First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure TractionSang Dong Kim, Thomas A. Manteuffel, Stephen F. McCormick. siamnum, 38(5):1454-1482, 2000. [doi]

First-Order System Least-Squares for the Helmholtz EquationBarry Lee, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge. siamsc, 21(5):1927-1949, 2000. [doi]

1998

First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical ResultsJean Michel Fiard, Thomas A. Manteuffel, Stephen F. McCormick. siamsc, 19(6):1958-1979, 1998. [doi]

1996

Multilevel Image Reconstruction with Natural PixelsHenson Van Emden, Mark A. Limber, Stephen F. McCormick, Bruce T. Robinson. siamsc, 17(1):193-216, 1996. [doi]

A Fast Multigrid Algorithm for Isotropic Transport Problems. II: With AbsorptionThomas A. Manteuffel, Stephen F. McCormick, J. Morel, G. Yang. siamsc, 17(6):1449-1474, 1996. [doi]

1995

A Fast Multigrid Algorithm for Isotropic Transport Problems I: Pure ScatteringThomas A. Manteuffel, Stephen F. McCormick, J. Morel, S. Oliveira, G. Yang. siamsc, 16(3):601-635, 1995. [doi]

1992

Multilevel projection methods for partial differential equationsStephen F. McCormick. Volume 62 of CBMS-NSF regional conference series in applied mathematics, SIAM, 1992.

1990

On Local Refinement Higher Order Methods for Elliptic Partial Differential EquationsStephen F. McCormick, Ulrich Rüde. ijhsc, 2(4):311-334, 1990. [doi]

1989

Multilevel adaptive methods for partial differential equationsStephen F. McCormick. Volume 6 of Frontiers in applied mathematics, SIAM, 1989.

1979

A general mesh independence principle for Newton's method applied to second order boundary value problemsEugene L. Allgower, Stephen F. McCormick, Daniel V. Pryor. computing, 23(3):233-246, 1979. [doi]

1976

Evaluation of the square root function on microprocessorsM. Andrews, Stephen F. McCormick, G. D. Taylor. acm 1976: 185-191 [doi]

SIGMAP/SIGSAM/SIGNUM(Paper Session)M. Andrews, Stephen F. McCormick, G. D. Taylor, James L. Noyes, Hatem M. Khalil, Dana L. Ulery, James E. Kalan. acm 1976: 184 [doi]

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