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06/21/2023
Verification and Validation of Cylinder Drag: Pressure and Stress Approximations on Curved Boundaries
We study a technique for verification of stress and pressure computation...
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12/31/2022
Dimensions of exactly divergence-free finite element spaces in 3D
We examine the dimensions of various inf-sup stable mixed finite element...
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11/10/2022
Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes
In recent years a great deal of attention has been paid to discretizatio...
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03/15/2021
Extrapolating the Arnoldi Algorithm To Improve Eigenvector Convergence
We consider extrapolation of the Arnoldi algorithm to accelerate computa...
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04/20/2020
A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
Augmented Lagrangian preconditioners have successfully yielded Reynolds-...
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02/06/2020
Robust multigrid methods for nearly incompressible elasticity using macro elements
We present a mesh-independent and parameter-robust multigrid solver for ...
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11/02/2019
An Adaptive Savitsky-Golay Filter for Smoothing Finite Element Computation
The smoothing technique of Savitzky and Golay is extended to data define...
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11/02/2019