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06/11/2023
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations
In this paper, we investigate a novel monolithic algebraic multigrid sol...
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06/05/2023
A positivity-preserving unigrid method for elliptic PDEs
While constraints arise naturally in many physical models, their treatme...
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03/03/2023
Generalizing Lloyd's algorithm for graph clustering
Clustering is a commonplace problem in many areas of data science, with ...
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01/26/2023
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods
Domain decomposition methods (DDMs) are popular solvers for discretized ...
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12/16/2022
Generalizing Reduction-Based Algebraic Multigrid
Algebraic Multigrid (AMG) methods are often robust and effective solvers...
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12/10/2022
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation
Sparse matrix representations are ubiquitous in computational science an...
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12/09/2022
Preconditioned Krylov solvers for structure-preserving discretisations
A key consideration in the development of numerical schemes for time-dep...
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05/19/2022
Learning Interface Conditions in Domain Decomposition Solvers
Domain decomposition methods are widely used and effective in the approx...
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02/15/2022
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow
Most research on preconditioners for time-dependent PDEs has focused on ...
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08/04/2021
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms
Local Fourier analysis is a commonly used tool for the analysis of multi...
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07/08/2021
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity
Advanced finite-element discretizations and preconditioners for models o...
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07/05/2021
Selective decay for the rotating shallow-water equations with a structure-preserving discretization
Numerical models of weather and climate critically depend on long-term s...
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06/03/2021
Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning
Large sparse linear systems of equations are ubiquitous in science and e...
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04/19/2021
Multigrid Reduction in Time for non-linear hyperbolic equations
Time-parallel algorithms seek greater concurrency by decomposing the tem...
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03/22/2021
Low-order preconditioning of the Stokes equations
Low-order finite-element discretizations are well-known to provide effec...
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01/03/2020
Tuning Multigrid Methods with Robust Optimization
Local Fourier analysis is a useful tool for predicting and analyzing the...
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09/18/2019