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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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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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09/13/2022
Characterizing the Performance of Node-Aware Strategies for Irregular Point-to-Point Communication on Heterogeneous Architectures
Supercomputer architectures are trending toward higher computational thr...
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05/23/2022
On Computing Coercivity Constants in Linear Variational Problems Through Eigenvalue Analysis
In this work, we investigate the convergence of numerical approximations...
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10/20/2021
Reduced Basis Approximations of Parameterized Dynamical Partial Differential Equations via Neural Networks
Projection-based reduced order models are effective at approximating par...
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10/19/2021
Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers
Anderson Acceleration (AA) is a method to accelerate the convergence of ...
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05/27/2021
Coarse-Grid Selection Using Simulated Annealing
Multilevel techniques are efficient approaches for solving the large lin...
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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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10/20/2020
Modeling Data Movement Performance on Heterogeneous Architectures
The cost of data movement on parallel systems varies greatly with machin...
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03/10/2020
A Least-Squares Finite Element Reduced Basis Method
We present a reduced basis (RB) method for parametrized linear elliptic ...
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10/21/2019
Node-Aware Improvements to Allreduce
The MPI_Allreduce collective operation is a core kernel of many parallel...
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06/06/2018
Improving Performance Models for Irregular Point-to-Point Communication
Parallel applications are often unable to take full advantage of emergin...
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03/06/2018
Scaling Structured Multigrid to 500K+ Cores through Coarse-Grid Redistribution
The efficient solution of sparse, linear systems resulting from the disc...
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12/23/2016