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ORCIDScott P. MacLachlan
Person information
- affiliation: Memorial University of Newfoundland, Department of Mathematics and Statistics, St. John's, NL, Canada
- affiliation (former): Tufts University, Department of Mathematics, Medford, MA, USA
- affiliation (former, PhD 2004): University of Colorado at Boulder, CO, USA
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2020 – today
- 2024
[j53]Tareq Uz Zaman
, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Generalizing reduction-based algebraic multigrid. Numer. Linear Algebra Appl. 31(3) (2024)- [j52]James Jackaman, Scott P. MacLachlan:
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations. SIAM J. Matrix Anal. Appl. 45(1): 327-352 (2024) - [j51]Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Generalizing Lloyd's Algorithm for Graph Clustering. SIAM J. Sci. Comput. 46(5): 2819- (2024) - [i32]Lukas Spies, Luke N. Olson, Scott P. MacLachlan:
Exploiting mesh structure to improve multigrid performance for saddle point problems. CoRR abs/2401.06277 (2024) - [i31]Robert C. Kirby, Scott P. MacLachlan:
Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. CoRR abs/2403.08084 (2024) - [i30]Alexey Voronin, Graham Harper, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro:
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations. CoRR abs/2407.07253 (2024) - [i29]James Jackaman, Scott P. MacLachlan:
Space-time waveform relaxation multigrid for Navier-Stokes. CoRR abs/2407.13997 (2024) - [i28]Amin Rafiei, Scott P. MacLachlan:
Achieving h- and p-robust monolithic multigrid solvers for the Stokes equations. CoRR abs/2409.14222 (2024) - 2023
- [j50]Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Coarse-grid selection using simulated annealing. J. Comput. Appl. Math. 431: 115263 (2023) - [j49]Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell:
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. 478: 111961 (2023) - [j48]James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan, Peter Ohm:
Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. SIAM J. Sci. Comput. 45(3): S54-S81 (2023) - [c5]Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West:
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. ICML 2023: 33381-33395 - [i27]Ali Taghibakhshi, Nicolas Nytko, Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West:
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. CoRR abs/2301.11378 (2023) - [i26]Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Generalizing Lloyd's algorithm for graph clustering. CoRR abs/2303.01667 (2023) - [i25]M. Shahid, Scott P. MacLachlan, H. bin Zubair Syed:
Multigrid preconditioning of singularly perturbed convection-diffusion equations. CoRR abs/2305.06823 (2023) - [i24]Ronald D. Haynes, Scott P. MacLachlan, Dawei Wang:
A positivity-preserving unigrid method for elliptic PDEs. CoRR abs/2306.03210 (2023) - [i23]Alexey Voronin, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro:
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. CoRR abs/2306.06795 (2023) - [i22]Matthias Bolten, Scott P. MacLachlan, Misha E. Kilmer:
Multigrid preconditioning for regularized least-squares problems. CoRR abs/2306.11067 (2023) - 2022
- [j47]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
A new mixed finite-element method for H2 elliptic problems. Comput. Math. Appl. 128: 300-319 (2022) - [j46]Alexey Voronin, Yunhui He, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro:
Low-order preconditioning of the Stokes equations. Numer. Linear Algebra Appl. 29(3) (2022) - [j45]Scott P. MacLachlan, Niall Madden, Thái Anh Nhan:
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM J. Matrix Anal. Appl. 43(2): 561-583 (2022) - [c4]Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Learning Interface Conditions in Domain Decomposition Solvers. NeurIPS 2022 - [i21]Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell:
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. CoRR abs/2202.07381 (2022) - [i20]Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Learning Interface Conditions in Domain Decomposition Solvers. CoRR abs/2205.09833 (2022) - [i19]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
Finite-element discretization of the smectic density equation. CoRR abs/2207.12916 (2022) - [i18]Hans De Sterck, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan:
Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective. CoRR abs/2208.01526 (2022) - [i17]James Jackaman, Scott P. MacLachlan:
Preconditioned Krylov solvers for structure-preserving discretisations. CoRR abs/2212.05127 (2022) - [i16]Nicolas Nytko, Ali Taghibakhshi, Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matt West:
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. CoRR abs/2212.05159 (2022) - [i15]Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Generalizing Reduction-Based Algebraic Multigrid. CoRR abs/2212.08371 (2022) - 2021
- [j44]Patrick E. Farrell, Yunhui He, Scott P. MacLachlan:
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Numer. Linear Algebra Appl. 28(3) (2021) - [j43]Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan:
Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection. Numer. Linear Algebra Appl. 28(4) (2021) - [j42]Jed Brown, Yunhui He, Scott P. MacLachlan, Matt Menickelly, Stefan M. Wild:
Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis. SIAM J. Sci. Comput. 43(1): A109-A138 (2021) - [j41]James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro:
Monolithic Multigrid Methods for Magnetohydrodynamics. SIAM J. Sci. Comput. 43(5): S70-S91 (2021) - [c3]Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. NeurIPS 2021: 12129-12140 - [i14]Alexey Voronin, Yunhui He, Scott P. MacLachlan, Luke N. Olson, Ray Tuminaro:
Low-order preconditioning of the Stokes equations. CoRR abs/2103.11967 (2021) - [i13]Federico Danieli, Scott P. MacLachlan:
Multigrid Reduction in Time for non-linear hyperbolic equations. CoRR abs/2104.09404 (2021) - [i12]Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan:
A new mixed finite-element method for the biharmonic problem. CoRR abs/2105.07289 (2021) - [i11]Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matt West:
Coarse-Grid Selection Using Simulated Annealing. CoRR abs/2105.13280 (2021) - [i10]Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West:
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. CoRR abs/2106.01854 (2021) - [i9]Rüdiger Brecht, Werner Bauer, Alexander Bihlo, François Gay-Balmaz, Scott P. MacLachlan:
Selective decay for the rotating shallow-water equations with a structure-preserving discretization. CoRR abs/2107.02072 (2021) - [i8]James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan, Peter Ohm:
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. CoRR abs/2107.04060 (2021) - [i7]Jed Brown, Yunhui He, Scott P. MacLachlan:
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms. CoRR abs/2108.01841 (2021) - [i6]Scott P. MacLachlan, Niall Madden, Thái Anh Nhan:
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. CoRR abs/2108.13468 (2021) - 2020
- [j40]Hans De Sterck, Stephanie Friedhoff, Alexander J. M. Howse, Scott P. MacLachlan:
Convergence analysis for parallel-in-time solution of hyperbolic systems. Numer. Linear Algebra Appl. 27(1) (2020) - [j39]Yunhui He, Scott P. MacLachlan:
Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. Numer. Linear Algebra Appl. 27(3) (2020) - [j38]Hisham Bin Zubair, C. Farquharson, Scott P. MacLachlan:
Block Preconditioning Techniques for Geophysical Electromagnetics. SIAM J. Sci. Comput. 42(3): B696-B721 (2020) - [i5]Jed Brown, Yunhui He, Scott P. MacLachlan, Matt Menickelly, Stefan M. Wild:
Tuning Multigrid Methods with Robust Optimization. CoRR abs/2001.00887 (2020) - [i4]J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro:
Monolithic Multigrid for Magnetohydrodynamics. CoRR abs/2006.15700 (2020)
2010 – 2019
- 2019
- [j37]James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan:
Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. Comput. Math. Appl. 77(2): 476-493 (2019) - [j36]Yunhui He, Scott P. MacLachlan:
Local Fourier analysis for mixed finite-element methods for the Stokes equations. J. Comput. Appl. Math. 357: 161-183 (2019) - [j35]Alexander J. M. Howse, Hans De Sterck, Robert D. Falgout, Scott P. MacLachlan, Jacob B. Schroder:
Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations. SIAM J. Sci. Comput. 41(1): A538-A565 (2019) - [j34]Jed Brown, Yunhui He, Scott P. MacLachlan:
Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms. SIAM J. Sci. Comput. 41(5): S346-S369 (2019) - [c2]James H. Adler, Scott P. MacLachlan, Niall Madden:
First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. LSSC 2019: 3-14 - [i3]Patrick E. Farrell, Yunhui He, Scott P. MacLachlan:
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR abs/1908.09949 (2019) - [i2]James H. Adler, Scott P. MacLachlan, Niall Madden:
First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations. CoRR abs/1909.08598 (2019) - [i1]Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan:
Optimizing MGRIT and Parareal coarse-grid operators for linear advection. CoRR abs/1910.03726 (2019) - 2018
- [j33]Thái Anh Nhan, Scott P. MacLachlan, Niall Madden:
Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. Numer. Algorithms 79(1): 281-310 (2018) - [j32]James H. Adler, Ilya Lashuk, Scott P. MacLachlan:
Composite-grid multigrid for diffusion on the sphere. Numer. Linear Algebra Appl. 25(1) (2018) - [j31]Yunhui He, Scott P. MacLachlan:
Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations. Numer. Linear Algebra Appl. 25(3) (2018) - 2017
- [j30]Robert D. Falgout, Stephanie Friedhoff, Tzanio V. Kolev, Scott P. MacLachlan, Jacob B. Schroder, Stefan Vandewalle:
Multigrid methods with space-time concurrency. Comput. Vis. Sci. 18(4-5): 123-143 (2017) - [j29]James H. Adler, Thomas R. Benson, Scott P. MacLachlan:
Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations. Numer. Linear Algebra Appl. 24(3) (2017) - [j28]J. H. Adler, David B. Emerson, Patrick E. Farrell, Scott P. MacLachlan:
Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. 39(1) (2017) - [c1]James H. Adler, Ilya Lashuk, Scott P. MacLachlan, Ludmil T. Zikatanov:
Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. LSSC 2017: 3-20 - 2016
- [j27]James H. Adler, Thomas R. Benson, Eric C. Cyr, Scott P. MacLachlan, Raymond S. Tuminaro:
Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. 38(1) (2016) - [j26]James H. Adler, David B. Emerson, Scott P. MacLachlan, Thomas A. Manteuffel:
Constrained Optimization for Liquid Crystal Equilibria. SIAM J. Sci. Comput. 38(1) (2016) - 2015
- [j25]Stephanie Friedhoff, Scott P. MacLachlan:
A generalized predictive analysis tool for multigrid methods. Numer. Linear Algebra Appl. 22(4): 618-647 (2015) - [j24]James H. Adler, Timothy J. Atherton, David B. Emerson, Scott P. MacLachlan:
An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. SIAM J. Numer. Anal. 53(5): 2226-2254 (2015) - [j23]James H. Adler, Timothy J. Atherton, Thomas R. Benson, David B. Emerson, Scott P. MacLachlan:
Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j22]Scott P. MacLachlan, Luke N. Olson:
Theoretical bounds for algebraic multigrid performance: review and analysis. Numer. Linear Algebra Appl. 21(2): 194-220 (2014) - [j21]Robert D. Falgout, Stephanie Friedhoff, Tzanio V. Kolev, Scott P. MacLachlan, Jacob B. Schroder:
Parallel Time Integration with Multigrid. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j20]Stephanie Friedhoff, Scott P. MacLachlan, Christoph Börgers:
Local Fourier Analysis of Space-Time Relaxation and Multigrid Schemes. SIAM J. Sci. Comput. 35(5) (2013) - [j19]Scott P. MacLachlan, Niall Madden:
Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j18]Scott P. MacLachlan, J. David Moulton, Timothy P. Chartier:
Robust and adaptive multigrid methods: comparing structured and algebraic approaches. Numer. Linear Algebra Appl. 19(2): 389-413 (2012) - [j17]Scott P. MacLachlan, Daniel Osei-Kuffuor, Yousef Saad:
Modification and Compensation Strategies for Threshold-based Incomplete Factorizations. SIAM J. Sci. Comput. 34(1) (2012) - 2011
- [j16]Eldad Haber, Scott P. MacLachlan:
A fast method for the solution of the Helmholtz equation. J. Comput. Phys. 230(12): 4403-4418 (2011) - [j15]Scott P. MacLachlan, Cornelis W. Oosterlee:
Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Numer. Linear Algebra Appl. 18(4): 751-774 (2011) - [j14]D. Chen, Scott P. MacLachlan, Misha E. Kilmer:
Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising. SIAM J. Sci. Comput. 33(5): 2972-2994 (2011) - 2010
- [j13]Christoph Börgers, Scott P. MacLachlan:
An angular multigrid method for computing mono-energetic particle beams in Flatland. J. Comput. Phys. 229(8): 2914-2931 (2010) - [j12]Hisham Bin Zubair, Scott P. MacLachlan, Cornelis W. Oosterlee:
A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids. Numer. Linear Algebra Appl. 17(6): 871-894 (2010) - [j11]Jok Man Tang, Scott P. MacLachlan, Reinhard Nabben, Cornelis Vuik:
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. SIAM J. Matrix Anal. Appl. 31(4): 1715-1739 (2010)
2000 – 2009
- 2009
- [j10]N. Umetani, Scott P. MacLachlan, Cornelis W. Oosterlee:
A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization. Numer. Linear Algebra Appl. 16(8): 603-626 (2009) - 2008
- [j9]Scott P. MacLachlan, Jok Man Tang, Cornelis Vuik:
Fast and robust solvers for pressure-correction in bubbly flow problems. J. Comput. Phys. 227(23): 9742-9761 (2008) - [j8]Scott P. MacLachlan, Cornelis W. Oosterlee:
Algebraic Multigrid Solvers for Complex-Valued Matrices. SIAM J. Sci. Comput. 30(3): 1548-1571 (2008) - 2007
- [j7]Scott P. MacLachlan, Yousef Saad:
A Greedy Strategy for Coarse-Grid Selection. SIAM J. Sci. Comput. 29(5): 1825-1853 (2007) - [j6]Scott P. MacLachlan, Yousef Saad:
Greedy Coarsening Strategies for Nonsymmetric Problems. SIAM J. Sci. Comput. 29(5): 2115-2143 (2007) - 2006
- [j5]James J. Brannick, Marian Brezina, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
An energy-based AMG coarsening strategy. Numer. Linear Algebra Appl. 13(2-3): 133-148 (2006) - [j4]Scott P. MacLachlan, Tom Manteuffel, Steve F. McCormick:
Adaptive reduction-based AMG. Numer. Linear Algebra Appl. 13(8): 599-620 (2006) - [j3]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Algebraic Multigrid. SIAM J. Sci. Comput. 27(4): 1261-1286 (2006) - 2005
- [j2]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Smoothed Aggregation (AlphaSA) Multigrid. SIAM Rev. 47(2): 317-346 (2005) - 2004
- [j1]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Smoothed Aggregation (αSA). SIAM J. Sci. Comput. 25(6): 1896-1920 (2004)
Coauthor Index
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