Scott P. MacLachlan

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 46

Top Topics

Fourier Analysis

Finite Element Methods

Top Venues

Numer. Linear Algebra Appl.

SIAM J. Sci. Comput.

SIAM J. Matrix Anal. Appl.

Publications

James Jackaman, Scott P. MacLachlan
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations. SIAM J. Matrix Anal. Appl. 45 (1) (2024)
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)
James Jackaman, Scott P. MacLachlan
Space-time waveform relaxation multigrid for Navier-Stokes. CoRR (2024)
Lukas Spies, Luke N. Olson, Scott P. MacLachlan
Exploiting mesh structure to improve multigrid performance for saddle point problems. CoRR (2024)
Alexey Voronin, Graham Harper, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations. CoRR (2024)
Robert C. Kirby, Scott P. MacLachlan
Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. CoRR (2024)
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 (2023)
M. Shahid, Scott P. MacLachlan, H. bin Zubair Syed
Multigrid preconditioning of singularly perturbed convection-diffusion equations. CoRR (2023)
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)
Alexey Voronin, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. CoRR (2023)
Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. 478 (2023)
Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
Coarse-grid selection using simulated annealing. J. Comput. Appl. Math. 431 (2023)
Tareq Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
Generalizing Lloyd's algorithm for graph clustering. CoRR (2023)
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) (2023)
Matthias Bolten, Scott P. MacLachlan, Misha E. Kilmer
Multigrid preconditioning for regularized least-squares problems. CoRR (2023)
Ali Taghibakhshi, Nicolas Nytko, Tareq Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
Learning Interface Conditions in Domain Decomposition Solvers. CoRR (2022)
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 (2022)
Hans De Sterck, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan
Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective. CoRR (2022)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
Finite-element discretization of the smectic density equation. CoRR (2022)
James Jackaman, Scott P. MacLachlan
Preconditioned Krylov solvers for structure-preserving discretisations. CoRR (2022)
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)
Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM J. Matrix Anal. Appl. 43 (2) (2022)
Tareq Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
Generalizing Reduction-Based Algebraic Multigrid. CoRR (2022)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
elliptic problems. Comput. Math. Appl. 128 (2022)
Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
Learning Interface Conditions in Domain Decomposition Solvers. NeurIPS (2022)
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)
Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. CoRR (2021)
Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matt West
Coarse-Grid Selection Using Simulated Annealing. CoRR (2021)
Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. NeurIPS (2021)
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) (2021)
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
A new mixed finite-element method for the biharmonic problem. CoRR (2021)
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)
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)
J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
Monolithic Multigrid for Magnetohydrodynamics. CoRR (2020)
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 (2019)
Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR (2019)
Yunhui He, Scott P. MacLachlan
Local Fourier analysis for mixed finite-element methods for the Stokes equations. J. Comput. Appl. Math. 357 (2019)
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) (2019)
James H. Adler, Ilya Lashuk, Scott P. MacLachlan
Composite-grid multigrid for diffusion on the sphere. Numer. Linear Algebra Appl. 25 (1) (2018)
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)
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)
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) (2017)
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)
J. H. Adler, D. 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)
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)
James H. Adler, D. B. Emerson, Scott P. MacLachlan, Thomas A. Manteuffel
Constrained Optimization for Liquid Crystal Equilibria. SIAM J. Sci. Comput. 38 (1) (2016)
Stephanie Friedhoff, Scott P. MacLachlan
A generalized predictive analysis tool for multigrid methods. Numer. Linear Algebra Appl. 22 (4) (2015)
James H. Adler, Timothy J. Atherton, D. 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) (2015)
James H. Adler, Timothy J. Atherton, Thomas R. Benson, D. B. Emerson, Scott P. MacLachlan
Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. SIAM J. Sci. Comput. 37 (5) (2015)
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)
Scott P. MacLachlan, Luke N. Olson
Theoretical bounds for algebraic multigrid performance: review and analysis. Numer. Linear Algebra Appl. 21 (2) (2014)
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) (2012)
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) (2011)
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) (2010)
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) (2010)
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) (2009)
Scott P. MacLachlan, Jok Man Tang, Cornelis Vuik
Fast and robust solvers for pressure-correction in bubbly flow problems. J. Comput. Phys. 227 (23) (2008)
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) (2006)