Scott P. MacLachlan

102 papers A* 3Journal 97Unranked 2

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Achieving h- and p-Robust Monolithic Multigrid Solvers for the Stokes Equations. Numer. Linear Algebra Appl. Amin Rafiei, Scott P. MacLachlan
2025	J	`jnl`	Automated Runge-Kutta-Nyström time stepping for finite element methods in Irksome. CoRR Robert C. Kirby, Scott P. MacLachlan, Pablo D. Brubeck
2025	J	`jnl`	Exploiting mesh structure to improve multigrid performance for saddle-point problems. Int. J. High Perform. Comput. Appl. Lukas Spies, Luke N. Olson, Scott P. MacLachlan
2025	J	`jnl`	Extending Irksome: Improvements in Automated Runge-Kutta Time Stepping for Finite Element Methods. ACM Trans. Math. Softw. Robert C. Kirby, Scott P. MacLachlan
2025	J	`jnl`	Improved monolithic multigrid methods for high-order Taylor-Hood discretizations. CoRR Amin Rafiei, Scott P. MacLachlan
2025	J	`jnl`	Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. SIAM J. Sci. Comput. Alexey Voronin, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
2025	J	`jnl`	Multigrid Reduction-In-Time Convergence for Advection Problems: A Fourier Analysis Perspective. Numer. Linear Algebra Appl. Hans De Sterck, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan
2025	J	`jnl`	Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. SIAM J. Sci. Comput. Nicolas Nytko, Ali Taghibakhshi, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2025	J	`jnl`	Unstructured to structured: geometric multigrid on complex geometries via domain remapping. CoRR Nicolas Nytko, Scott P. MacLachlan, J. David Moulton, Luke N. Olson, Andrew Reisner, Matthew West
2024	J	`jnl`	Achieving CoRR Amin Rafiei, Scott P. MacLachlan
2024	J	`jnl`	Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations. SIAM J. Matrix Anal. Appl. James Jackaman, Scott P. MacLachlan
2024	J	`jnl`	Exploiting mesh structure to improve multigrid performance for saddle point problems. CoRR Lukas Spies, Luke N. Olson, Scott P. MacLachlan
2024	J	`jnl`	Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. CoRR Robert C. Kirby, Scott P. MacLachlan
2024	J	`jnl`	Generalizing Lloyd's Algorithm for Graph Clustering. SIAM J. Sci. Comput. Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2024	J	`jnl`	Generalizing reduction-based algebraic multigrid. Numer. Linear Algebra Appl. Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2024	J	`jnl`	Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations. CoRR Alexey Voronin, Graham Harper, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
2024	J	`jnl`	Multigrid Preconditioning for Regularized Least-Squares Problems. SIAM J. Sci. Comput. Matthias Bolten, Misha E. Kilmer, Scott P. MacLachlan
2024	J	`jnl`	Space-time waveform relaxation multigrid for Navier-Stokes. CoRR James Jackaman, Scott P. MacLachlan
2024	J	`jnl`	Special Section: 2023 Copper Mountain Conference. SIAM J. Sci. Comput. Eric C. Cyr, Scott P. MacLachlan
2024	J	`jnl`	Unique continuation principles for finite-element discretizations of the Laplacian. CoRR Graham Cox, Scott P. MacLachlan, Luke Steeves
2023	J	`jnl`	A positivity-preserving unigrid method for elliptic PDEs. CoRR Ronald D. Haynes, Scott P. MacLachlan, Dawei Wang
2023	J	`jnl`	Coarse-grid selection using simulated annealing. J. Comput. Appl. Math. Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2023	J	`jnl`	Generalizing Lloyd's algorithm for graph clustering. CoRR Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2023	A*	`conf`	MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. ICML Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2023	J	`jnl`	MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. CoRR Ali Taghibakhshi, Nicolas Nytko, Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2023	J	`jnl`	Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. CoRR Alexey Voronin, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
2023	J	`jnl`	Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. SIAM J. Sci. Comput. James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan, Peter Ohm
2023	J	`jnl`	Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. J. Comput. Phys. Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
2023	J	`jnl`	Multigrid preconditioning for regularized least-squares problems. CoRR Matthias Bolten, Scott P. MacLachlan, Misha E. Kilmer
2023	J	`jnl`	Multigrid preconditioning of singularly perturbed convection-diffusion equations. CoRR M. Shahid, Scott P. MacLachlan, H. bin Zubair Syed
2022	J	`jnl`	A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM J. Matrix Anal. Appl. Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
2022	J	`jnl`	A new mixed finite-element method for Comput. Math. Appl. Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2022	J	`jnl`	Finite-element discretization of the smectic density equation. CoRR Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2022	J	`jnl`	Generalizing Reduction-Based Algebraic Multigrid. CoRR Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2022	A*	`conf`	Learning Interface Conditions in Domain Decomposition Solvers. NeurIPS Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2022	J	`jnl`	Learning Interface Conditions in Domain Decomposition Solvers. CoRR Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman, Scott P. MacLachlan, Luke N. Olson, Matthew West
2022	J	`jnl`	Low-order preconditioning of the Stokes equations. Numer. Linear Algebra Appl. Alexey Voronin, Yunhui He, Scott P. MacLachlan, Luke N. Olson, Raymond S. Tuminaro
2022	J	`jnl`	Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. CoRR Razan Abu-Labdeh, Scott P. MacLachlan, Patrick E. Farrell
2022	J	`jnl`	Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective. CoRR Hans De Sterck, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan
2022	J	`jnl`	Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. CoRR Nicolas Nytko, Ali Taghibakhshi, Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matt West
2022	J	`jnl`	Preconditioned Krylov solvers for structure-preserving discretisations. CoRR James Jackaman, Scott P. MacLachlan
2021	J	`jnl`	A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. CoRR Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
2021	J	`jnl`	A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Numer. Linear Algebra Appl. Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
2021	J	`jnl`	A new mixed finite-element method for the biharmonic problem. CoRR Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
2021	J	`jnl`	Coarse-Grid Selection Using Simulated Annealing. CoRR Tareq-Uz-Zaman, Scott P. MacLachlan, Luke N. Olson, Matt West
2021	J	`jnl`	Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms. CoRR Jed Brown, Yunhui He, Scott P. MacLachlan
2021	J	`jnl`	Low-order preconditioning of the Stokes equations. CoRR Alexey Voronin, Yunhui He, Scott P. MacLachlan, Luke N. Olson, Ray Tuminaro
2021	J	`jnl`	Monolithic Multigrid Methods for Magnetohydrodynamics. SIAM J. Sci. Comput. James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
2021	J	`jnl`	Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. CoRR James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan, Peter Ohm
2021	J	`jnl`	Multigrid Reduction in Time for non-linear hyperbolic equations. CoRR Federico Danieli, Scott P. MacLachlan
2021	A*	`conf`	Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. NeurIPS Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2021	J	`jnl`	Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. CoRR Ali Taghibakhshi, Scott P. MacLachlan, Luke N. Olson, Matthew West
2021	J	`jnl`	Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection. Numer. Linear Algebra Appl. Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan
2021	J	`jnl`	Selective decay for the rotating shallow-water equations with a structure-preserving discretization. CoRR Rüdiger Brecht, Werner Bauer, Alexander Bihlo, François Gay-Balmaz, Scott P. MacLachlan
2021	J	`jnl`	Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis. SIAM J. Sci. Comput. Jed Brown, Yunhui He, Scott P. MacLachlan, Matt Menickelly, Stefan M. Wild
2020	J	`jnl`	Block Preconditioning Techniques for Geophysical Electromagnetics. SIAM J. Sci. Comput. Hisham Bin Zubair, C. Farquharson, Scott P. MacLachlan
2020	J	`jnl`	Convergence analysis for parallel-in-time solution of hyperbolic systems. Numer. Linear Algebra Appl. Hans De Sterck, Stephanie Friedhoff, Alexander J. M. Howse, Scott P. MacLachlan
2020	J	`jnl`	Monolithic Multigrid for Magnetohydrodynamics. CoRR J. H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, Ray S. Tuminaro
2020	J	`jnl`	Tuning Multigrid Methods with Robust Optimization. CoRR Jed Brown, Yunhui He, Scott P. MacLachlan, Matt Menickelly, Stefan M. Wild
2020	J	`jnl`	Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. Numer. Linear Algebra Appl. Yunhui He, Scott P. MacLachlan
2019	J	`jnl`	A local Fourier analysis of additive Vanka relaxation for the Stokes equations. CoRR Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
2019	—	`conf`	First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. LSSC James H. Adler, Scott P. MacLachlan, Niall Madden
2019	J	`jnl`	First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations. CoRR James H. Adler, Scott P. MacLachlan, Niall Madden
2019	J	`jnl`	Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms. SIAM J. Sci. Comput. Jed Brown, Yunhui He, Scott P. MacLachlan
2019	J	`jnl`	Local Fourier analysis for mixed finite-element methods for the Stokes equations. J. Comput. Appl. Math. Yunhui He, Scott P. MacLachlan
2019	J	`jnl`	Optimizing MGRIT and Parareal coarse-grid operators for linear advection. CoRR Hans De Sterck, Robert D. Falgout, Stephanie Friedhoff, Oliver A. Krzysik, Scott P. MacLachlan
2019	J	`jnl`	Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations. SIAM J. Sci. Comput. Alexander J. M. Howse, Hans De Sterck, Robert D. Falgout, Scott P. MacLachlan, Jacob B. Schroder
2019	J	`jnl`	Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. Comput. Math. Appl. James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan
2018	J	`jnl`	Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. Numer. Algorithms Thái Anh Nhan, Scott P. MacLachlan, Niall Madden
2018	J	`jnl`	Composite-grid multigrid for diffusion on the sphere. Numer. Linear Algebra Appl. James H. Adler, Ilya Lashuk, Scott P. MacLachlan
2018	J	`jnl`	Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations. Numer. Linear Algebra Appl. Yunhui He, Scott P. MacLachlan
2017	J	`jnl`	Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. J. H. Adler, David B. Emerson, Patrick E. Farrell, Scott P. MacLachlan
2017	—	`conf`	Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. LSSC James H. Adler, Ilya Lashuk, Scott P. MacLachlan, Ludmil T. Zikatanov
2017	J	`jnl`	Multigrid methods with space-time concurrency. Comput. Vis. Sci. Robert D. Falgout, Stephanie Friedhoff, Tzanio V. Kolev, Scott P. MacLachlan, Jacob B. Schroder, Stefan Vandewalle
2017	J	`jnl`	Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations. Numer. Linear Algebra Appl. James H. Adler, Thomas R. Benson, Scott P. MacLachlan
2016	J	`jnl`	Constrained Optimization for Liquid Crystal Equilibria. SIAM J. Sci. Comput. James H. Adler, David B. Emerson, Scott P. MacLachlan, Thomas A. Manteuffel
2016	J	`jnl`	Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. James H. Adler, Thomas R. Benson, Eric C. Cyr, Scott P. MacLachlan, Raymond S. Tuminaro
2015	J	`jnl`	A generalized predictive analysis tool for multigrid methods. Numer. Linear Algebra Appl. Stephanie Friedhoff, Scott P. MacLachlan
2015	J	`jnl`	An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. SIAM J. Numer. Anal. James H. Adler, Timothy J. Atherton, David B. Emerson, Scott P. MacLachlan
2015	J	`jnl`	Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. SIAM J. Sci. Comput. James H. Adler, Timothy J. Atherton, Thomas R. Benson, David B. Emerson, Scott P. MacLachlan
2014	J	`jnl`	Parallel Time Integration with Multigrid. SIAM J. Sci. Comput. Robert D. Falgout, Stephanie Friedhoff, Tzanio V. Kolev, Scott P. MacLachlan, Jacob B. Schroder
2014	J	`jnl`	Theoretical bounds for algebraic multigrid performance: review and analysis. Numer. Linear Algebra Appl. Scott P. MacLachlan, Luke N. Olson
2013	J	`jnl`	Local Fourier Analysis of Space-Time Relaxation and Multigrid Schemes. SIAM J. Sci. Comput. Stephanie Friedhoff, Scott P. MacLachlan, Christoph Börgers
2013	J	`jnl`	Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. SIAM J. Sci. Comput. Scott P. MacLachlan, Niall Madden
2012	J	`jnl`	Modification and Compensation Strategies for Threshold-based Incomplete Factorizations. SIAM J. Sci. Comput. Scott P. MacLachlan, Daniel Osei-Kuffuor, Yousef Saad
2012	J	`jnl`	Robust and adaptive multigrid methods: comparing structured and algebraic approaches. Numer. Linear Algebra Appl. Scott P. MacLachlan, J. David Moulton, Timothy P. Chartier
2011	J	`jnl`	A fast method for the solution of the Helmholtz equation. J. Comput. Phys. Eldad Haber, Scott P. MacLachlan
2011	J	`jnl`	Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising. SIAM J. Sci. Comput. D. Chen, Scott P. MacLachlan, Misha E. Kilmer
2011	J	`jnl`	Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Numer. Linear Algebra Appl. Scott P. MacLachlan, Cornelis W. Oosterlee
2010	J	`jnl`	A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. SIAM J. Matrix Anal. Appl. Jok Man Tang, Scott P. MacLachlan, Reinhard Nabben, Cornelis Vuik
2010	J	`jnl`	A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids. Numer. Linear Algebra Appl. Hisham Bin Zubair, Scott P. MacLachlan, Cornelis W. Oosterlee
2010	J	`jnl`	An angular multigrid method for computing mono-energetic particle beams in Flatland. J. Comput. Phys. Christoph Börgers, Scott P. MacLachlan
2009	J	`jnl`	A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization. Numer. Linear Algebra Appl. Nobuyuki Umetani, Scott P. MacLachlan, Cornelis W. Oosterlee
2008	J	`jnl`	Algebraic Multigrid Solvers for Complex-Valued Matrices. SIAM J. Sci. Comput. Scott P. MacLachlan, Cornelis W. Oosterlee
2008	J	`jnl`	Fast and robust solvers for pressure-correction in bubbly flow problems. J. Comput. Phys. Scott P. MacLachlan, Jok Man Tang, Cornelis Vuik
2007	J	`jnl`	A Greedy Strategy for Coarse-Grid Selection. SIAM J. Sci. Comput. Scott P. MacLachlan, Yousef Saad
2007	J	`jnl`	Greedy Coarsening Strategies for Nonsymmetric Problems. SIAM J. Sci. Comput. Scott P. MacLachlan, Yousef Saad
2006	J	`jnl`	Adaptive Algebraic Multigrid. SIAM J. Sci. Comput. Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge
2006	J	`jnl`	Adaptive reduction-based AMG. Numer. Linear Algebra Appl. Scott P. MacLachlan, Tom Manteuffel, Steve F. McCormick
2006	J	`jnl`	An energy-based AMG coarsening strategy. Numer. Linear Algebra Appl. James J. Brannick, Marian Brezina, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge
2005	J	`jnl`	Adaptive Smoothed Aggregation (AlphaSA) Multigrid. SIAM Rev. Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge
2004	J	`jnl`	Adaptive Smoothed Aggregation (αSA). SIAM J. Sci. Comput. Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge