Scott P. MacLachlan

Orcid: 0000-0002-6364-0684

Affiliations:
  • Memorial University of Newfoundland, Department of Mathematics and Statistics, St. John's, NL, Canada
  • Tufts University, Department of Mathematics, Medford, MA, USA (former)
  • University of Colorado at Boulder, CO, USA (former, PhD 2004)


According to our database1, Scott P. MacLachlan authored at least 78 papers between 2004 and 2024.

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Bibliography

2024
Generalizing reduction-based algebraic multigrid.
Numer. Linear Algebra Appl., May, 2024

Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations.
SIAM J. Matrix Anal. Appl., March, 2024

Generalizing Lloyd's Algorithm for Graph Clustering.
SIAM J. Sci. Comput., 2024

Special Section: 2023 Copper Mountain Conference.
SIAM J. Sci. Comput., 2024

Multigrid Preconditioning for Regularized Least-Squares Problems.
SIAM J. Sci. Comput., 2024

Achieving <i>h</i>- and <i>p</i>-robust monolithic multigrid solvers for the Stokes equations.
CoRR, 2024

Space-time waveform relaxation multigrid for Navier-Stokes.
CoRR, 2024

Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations.
CoRR, 2024

Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods.
CoRR, 2024

Exploiting mesh structure to improve multigrid performance for saddle point problems.
CoRR, 2024

2023
Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity.
SIAM J. Sci. Comput., June, 2023

Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow.
J. Comput. Phys., April, 2023

Coarse-grid selection using simulated annealing.
J. Comput. Appl. Math., 2023

Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations.
CoRR, 2023

A positivity-preserving unigrid method for elliptic PDEs.
CoRR, 2023

Multigrid preconditioning of singularly perturbed convection-diffusion equations.
CoRR, 2023

MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods.
Proceedings of the International Conference on Machine Learning, 2023

2022
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion.
SIAM J. Matrix Anal. Appl., 2022

Low-order preconditioning of the Stokes equations.
Numer. Linear Algebra Appl., 2022

Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation.
CoRR, 2022

Preconditioned Krylov solvers for structure-preserving discretisations.
CoRR, 2022

Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective.
CoRR, 2022

Finite-element discretization of the smectic density equation.
CoRR, 2022

A new mixed finite-element method for <i>H</i><sup>2</sup> elliptic problems.
Comput. Math. Appl., 2022

Learning Interface Conditions in Domain Decomposition Solvers.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

2021
Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis.
SIAM J. Sci. Comput., 2021

Monolithic Multigrid Methods for Magnetohydrodynamics.
SIAM J. Sci. Comput., 2021

Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection.
Numer. Linear Algebra Appl., 2021

A local Fourier analysis of additive Vanka relaxation for the Stokes equations.
Numer. Linear Algebra Appl., 2021

Selective decay for the rotating shallow-water equations with a structure-preserving discretization.
CoRR, 2021

A new mixed finite-element method for the biharmonic problem.
CoRR, 2021

Multigrid Reduction in Time for non-linear hyperbolic equations.
CoRR, 2021

Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

2020
Block Preconditioning Techniques for Geophysical Electromagnetics.
SIAM J. Sci. Comput., 2020

Convergence analysis for parallel-in-time solution of hyperbolic systems.
Numer. Linear Algebra Appl., 2020

Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian.
Numer. Linear Algebra Appl., 2020

Monolithic Multigrid for Magnetohydrodynamics.
CoRR, 2020

Tuning Multigrid Methods with Robust Optimization.
CoRR, 2020

2019
Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations.
SIAM J. Sci. Comput., 2019

Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms.
SIAM J. Sci. Comput., 2019

Local Fourier analysis for mixed finite-element methods for the Stokes equations.
J. Comput. Appl. Math., 2019

Optimizing MGRIT and Parareal coarse-grid operators for linear advection.
CoRR, 2019

Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics.
Comput. Math. Appl., 2019

First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

2018
Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations.
Numer. Linear Algebra Appl., 2018

Composite-grid multigrid for diffusion on the sphere.
Numer. Linear Algebra Appl., 2018

Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems.
Numer. Algorithms, 2018

2017
Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems.
SIAM J. Sci. Comput., 2017

Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations.
Numer. Linear Algebra Appl., 2017

Multigrid methods with space-time concurrency.
Comput. Vis. Sci., 2017

Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

2016
Constrained Optimization for Liquid Crystal Equilibria.
SIAM J. Sci. Comput., 2016

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics.
SIAM J. Sci. Comput., 2016

2015
Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects.
SIAM J. Sci. Comput., 2015

An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals.
SIAM J. Numer. Anal., 2015

A generalized predictive analysis tool for multigrid methods.
Numer. Linear Algebra Appl., 2015

2014
Parallel Time Integration with Multigrid.
SIAM J. Sci. Comput., 2014

Theoretical bounds for algebraic multigrid performance: review and analysis.
Numer. Linear Algebra Appl., 2014

2013
Robust Solution of Singularly Perturbed Problems Using Multigrid Methods.
SIAM J. Sci. Comput., 2013

Local Fourier Analysis of Space-Time Relaxation and Multigrid Schemes.
SIAM J. Sci. Comput., 2013

2012
Modification and Compensation Strategies for Threshold-based Incomplete Factorizations.
SIAM J. Sci. Comput., 2012

Robust and adaptive multigrid methods: comparing structured and algebraic approaches.
Numer. Linear Algebra Appl., 2012

2011
Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising.
SIAM J. Sci. Comput., 2011

Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs.
Numer. Linear Algebra Appl., 2011

A fast method for the solution of the Helmholtz equation.
J. Comput. Phys., 2011

2010
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation.
SIAM J. Matrix Anal. Appl., 2010

A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids.
Numer. Linear Algebra Appl., 2010

An angular multigrid method for computing mono-energetic particle beams in Flatland.
J. Comput. Phys., 2010

2009
A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization.
Numer. Linear Algebra Appl., 2009

2008
Algebraic Multigrid Solvers for Complex-Valued Matrices.
SIAM J. Sci. Comput., 2008

Fast and robust solvers for pressure-correction in bubbly flow problems.
J. Comput. Phys., 2008

2007
Greedy Coarsening Strategies for Nonsymmetric Problems.
SIAM J. Sci. Comput., 2007

A Greedy Strategy for Coarse-Grid Selection.
SIAM J. Sci. Comput., 2007

2006
Adaptive Algebraic Multigrid.
SIAM J. Sci. Comput., 2006

Adaptive reduction-based AMG.
Numer. Linear Algebra Appl., 2006

An energy-based AMG coarsening strategy.
Numer. Linear Algebra Appl., 2006

2005
Adaptive Smoothed Aggregation (AlphaSA) Multigrid.
SIAM Rev., 2005

2004
Adaptive Smoothed Aggregation (αSA).
SIAM J. Sci. Comput., 2004


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