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Scott P. MacLachlan - Publications

Affiliations: 
Mathematics Tufts University, Boston 
Area:
Applied Mathematics
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54 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Zaman TU, MacLachlan S, Hossain ME. Numerical modeling of a memory-based diffusivity equation and determination of its fractional order value Computational Geosciences. 1-15. DOI: 10.1007/S10596-020-09986-X  0.447
2020 Jahandari H, MacLachlan S, Haynes RD, Madden N. Finite element modelling of geophysical electromagnetic data with goal-oriented hr -adaptivity Computational Geosciences. 24: 1257-1283. DOI: 10.1007/S10596-020-09944-7  0.421
2020 Farrell PE, He Y, MacLachlan SP. A local Fourier analysis of additive Vanka relaxation for the Stokes equations Numerical Linear Algebra With Applications. DOI: 10.1002/Nla.2306  0.396
2020 He Y, MacLachlan S. Two‐level Fourier analysis of multigrid for higher‐order finite‐element discretizations of the Laplacian Numerical Linear Algebra With Applications. 27. DOI: 10.1002/Nla.2285  0.356
2020 Sterck HD, Friedhoff S, Howse AJM, MacLachlan SP. Convergence analysis for parallel‐in‐time solution of hyperbolic systems Numerical Linear Algebra With Applications. 27. DOI: 10.1002/Nla.2271  0.718
2019 Brown J, He Y, MacLachlan S. Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms Siam Journal On Scientific Computing. 41. DOI: 10.1137/18M1191373  0.348
2019 Howse AJM, Sterck HD, Falgout RD, MacLachlan S, Schroder JB. Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations Siam Journal On Scientific Computing. 41. DOI: 10.1137/17M1144982  0.47
2019 Adler JH, He Y, Hu X, MacLachlan SP. Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics Computers & Mathematics With Applications. 77: 476-493. DOI: 10.1016/J.Camwa.2018.09.051  0.478
2019 He Y, MacLachlan SP. Local Fourier analysis for mixed finite-element methods for the Stokes equations Journal of Computational and Applied Mathematics. 357: 161-183. DOI: 10.1016/J.Cam.2019.01.029  0.465
2019 Brecht R, Bauer W, Bihlo A, Gay‐Balmaz F, MacLachlan S. Variational integrator for the rotating shallow‐water equations on the sphere Quarterly Journal of the Royal Meteorological Society. 145: 1070-1088. DOI: 10.1002/Qj.3477  0.405
2018 Emerson DB, Farrell PE, Adler JH, MacLachlan SP, Atherton TJ. Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms Liquid Crystals. 45: 341-350. DOI: 10.1080/02678292.2017.1365385  0.38
2018 Nhan TA, MacLachlan S, Madden N. Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems Numerical Algorithms. 79: 281-310. DOI: 10.1007/S11075-017-0437-3  0.513
2018 Bihlo A, MacLachlan S. Well-balanced mesh-based and meshless schemes for the shallow-water equations Bit Numerical Mathematics. 58: 579-598. DOI: 10.1007/S10543-018-0696-Y  0.397
2018 He Y, MacLachlan SP. Local Fourier analysis of block‐structured multigrid relaxation schemes for the Stokes equations Numerical Linear Algebra With Applications. 25. DOI: 10.1002/Nla.2147  0.382
2018 Adler JH, Lashuk I, MacLachlan SP. Composite‐grid multigrid for diffusion on the sphere Numerical Linear Algebra With Applications. 25. DOI: 10.1002/Nla.2115  0.492
2017 Adler JH, Emerson DB, Farrell PE, MacLachlan SP. Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems Siam Journal On Scientific Computing. 39. DOI: 10.1137/16M1058728  0.48
2017 Ansari SM, Farquharson CG, MacLachlan SP. A gauged finite-element potential formulation for accurate inductive and galvanic modelling of 3-D electromagnetic problems Geophysical Journal International. 210: 105-129. DOI: 10.1093/Gji/Ggx149  0.319
2017 Brecht R, Bihlo A, MacLachlan S, Behrens J. A well-balanced meshless tsunami propagation and inundation model Advances in Water Resources. 115: 273-285. DOI: 10.1016/J.Advwatres.2017.12.013  0.371
2017 Falgout RD, Friedhoff S, Kolev TV, MacLachlan SP, Schroder JB, Vandewalle S. Multigrid Methods With Space-Time Concurrency Computing and Visualization in Science. 18: 123-143. DOI: 10.1007/S00791-017-0283-9  0.759
2016 Adler JH, Benson TR, Cyr EC, Maclachlan SP, Tuminaro RS. Monolithic multigrid methods for two-dimensional resistive magnetohydrodynamics Siam Journal On Scientific Computing. 38: B1-B24. DOI: 10.1137/151006135  0.443
2016 Adler JH, Emerson DB, Maclachlan SP, Manteuffel TA. Constrained optimization for liquid crystal equilibria Siam Journal On Scientific Computing. 38: B50-B76. DOI: 10.1137/141001846  0.462
2016 Lam LS, Hodes M, Karamanis G, Kirk T, MacLachlan S. Effect of meniscus curvature on apparent thermal slip Journal of Heat Transfer. 138. DOI: 10.1115/1.4034189  0.317
2016 Adler J, MacLachlan S, Madden N. A first-order system Petrov-Galerkin discretization for a reaction-diffusion problem on a fitted mesh Ima Journal of Numerical Analysis. 36: 1281-1309. DOI: 10.1093/Imanum/Drv045  0.496
2016 Adler JH, Benson TR, Maclachlan SP. Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations Numerical Linear Algebra With Applications. DOI: 10.1002/Nla.2047  0.544
2015 Ansari SM, Farquharson CG, MacLachlan S. Gauged Vector Finite-Element Schemes for the Geophysical EM problem for Unique Potentials and Fields Seg Technical Program Expanded Abstracts. DOI: 10.1190/Segam2015-5847117.1  0.427
2015 Adler JH, Atherton TJ, Benson TR, Emerson DB, MacLachlan SP. Energy minimization for liquid crystal equilibrium with electric and flexoelectric effects Siam Journal On Scientific Computing. 37: S157-S176. DOI: 10.1137/140975036  0.418
2015 Adler JH, Atherton TJ, Emerson DB, MacLachlan SP. An energy-minimization finite-element approach for the Frank-Oseen model of nematic liquid crystals Siam Journal On Numerical Analysis. 53: 2226-2254. DOI: 10.1137/140956567  0.399
2015 Friedhoff S, Maclachlan S. A generalized predictive analysis tool for multigrid methods Numerical Linear Algebra With Applications. 22: 618-647. DOI: 10.1002/Nla.1977  0.758
2014 Falgout RD, Friedhoff S, Kolev TV, MacLachlan SP, Schroder JB. Parallel time integration with multigrid Siam Journal On Scientific Computing. 36: C635-C661. DOI: 10.1137/130944230  0.78
2014 Adler JH, Dorfmann L, Han D, MacLachlan S, Paetsch C. Mathematical and computational models of incompressible materials subject to shear Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 79: 889-914. DOI: 10.1093/Imamat/Hxu022  0.391
2014 Falgout R, Friedhoff S, Kolev T, MacLachlan S, Schroder JB. Parallel time integration with multigrid Pamm. 14: 951-952. DOI: 10.1002/Pamm.201410456  0.766
2014 Maclachlan SP, Olson LN. Theoretical bounds for algebraic multigrid performance: Review and analysis Numerical Linear Algebra With Applications. 21: 194-220. DOI: 10.1002/Nla.1930  0.464
2013 MacLachlan S, Madden N. Robust Solution of Singularly Perturbed Problems Using Multigrid Methods Siam Journal On Scientific Computing. 35. DOI: 10.1137/120889770  0.536
2013 Friedhoff S, MacLachlan S, Börgers C. Local fourier analysis of space-time relaxation and multigrid schemes Siam Journal On Scientific Computing. 35. DOI: 10.1137/120881361  0.764
2012 MacLachlan S, Osei-Kuffuor D, Saad Y. Modification and compensation strategies for threshold-based incomplete factorizations Siam Journal On Scientific Computing. 34. DOI: 10.1137/110834986  0.375
2012 Jönsthövel TB, Gijzen MBv, MacLachlan S, Vuik C, Scarpas A. Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials Computational Mechanics. 50: 321-333. DOI: 10.1007/S00466-011-0661-Y  0.456
2012 Maclachlan SP, Moulton JD, Chartier TP. Robust and adaptive multigrid methods: Comparing structured and algebraic approaches Numerical Linear Algebra With Applications. 19: 389-413. DOI: 10.1002/Nla.837  0.444
2011 Haber E, MacLachlan S. A fast method for the solution of the Helmholtz equation Journal of Computational Physics. 230: 4403-4418. DOI: 10.1016/J.Jcp.2011.01.015  0.471
2011 Maclachlan SP, Oosterlee CW. Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs Numerical Linear Algebra With Applications. 18: 751-774. DOI: 10.1002/Nla.762  0.503
2011 Ur Rehman M, Geenen T, Vuik C, Segal G, Maclachlan SP. On iterative methods for the incompressible Stokes problem International Journal For Numerical Methods in Fluids. 65: 1180-1200. DOI: 10.1002/Fld.2235  0.472
2010 Börgers C, MacLachlan S. An angular multigrid method for computing mono-energetic particle beams in Flatland Journal of Computational Physics. 229: 2914-2931. DOI: 10.1016/J.Jcp.2009.12.023  0.443
2010 Bin Zubair H, MacLachlan SP, Oosterlee CW. A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids Numerical Linear Algebra With Applications. 17: 871-894. DOI: 10.1002/Nla.665  0.443
2009 Tang JM, Maclachlan SP, Nabben R, Vuik C. A comparison of two-level preconditioners based on multigrid and deflation Siam Journal On Matrix Analysis and Applications. 31: 1715-1739. DOI: 10.1137/08072084X  0.393
2009 Geenen T, Ur Rehman M, MacLachlan SP, Segal G, Vuik C, Van Den Berg AP, Spakman W. Scalable robust solvers for unstructured FE geodynamic modeling applications: Solving the Stokes equation for models with large localized viscosity contrasts Geochemistry, Geophysics, Geosystems. 10. DOI: 10.1029/2009Gc002526  0.49
2009 Umetani N, MacLachlan SP, Oosterlee CW. A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization Numerical Linear Algebra With Applications. 16: 603-626. DOI: 10.1002/Nla.634  0.48
2008 MacLachlan SP, Tang JM, Vuik C. Fast and robust solvers for pressure-correction in bubbly flow problems Journal of Computational Physics. 227: 9742-9761. DOI: 10.1016/J.Jcp.2008.07.022  0.418
2007 Maclachlan SP, Oosterlee CW. Algebraic multigrid solvers for complex-valued matrices Siam Journal On Scientific Computing. 30: 1548-1571. DOI: 10.1137/070687232  0.412
2007 Maclachlan S, Saad Y. Greedy coarsening strategies for nonsymmetric problems Siam Journal On Scientific Computing. 29: 2115-2143. DOI: 10.1137/060660928  0.463
2007 Maclachlan S, Saad Y. A greedy strategy for coarse-grid selection Siam Journal On Scientific Computing. 29: 1825-1853. DOI: 10.1137/060654062  0.48
2006 MacLachlan SP, Moulton JD. Multilevel upscaling through variational coarsening Water Resources Research. 42. DOI: 10.1029/2005Wr003940  0.401
2006 MacLachlan S, Manteuffel T, McCormick S. Adaptive reduction-based AMG Numerical Linear Algebra With Applications. 13: 599-620. DOI: 10.1002/Nla.486  0.486
2006 Brannick J, Brezina M, MacLachlan S, Manteuffel T, McCormick S, Ruge J. An energy-based AMG coarsening strategy Numerical Linear Algebra With Applications. 13: 133-148. DOI: 10.1002/Nla.480  0.453
2005 Brezina M, Falgout R, MacLachlan S, Manteuffel T, McCormick S, Ruge J. Adaptive smoothed aggregation (αSA) multigrid Siam Review. 47: 317-346. DOI: 10.1137/050626272  0.487
2004 Brezina M, Falgout R, MacLachlan S, Manteuffel T, McCormick S, Ruge J. Adaptive Smoothed Aggregation ($\alpha$SA) Siam Journal On Scientific Computing. 25: 1896-1920. DOI: 10.1137/S1064827502418598  0.48
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