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09/11/2023
Local conservation laws of continuous Galerkin method for the incompressible Navier–Stokes equations in EMAC form
We consider local balances of momentum and angular momentum for the inco...
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02/12/2023
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation
We study continuous data assimilation (CDA) applied to projection and pe...
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11/23/2022
Filtering for Anderson acceleration
This work introduces, analyzes and demonstrates an efficient and theoret...
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03/03/2022
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration
We consider two modifications of the Arrow-Hurwicz (AH) iteration for so...
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11/12/2021
Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows
We investigate both theoretically and numerically the consistency betwee...
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08/19/2021
An efficient nonlinear solver and convergence analysis for a viscoplastic flow model
This paper studies a finite element discretization of the regularized Bi...
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08/11/2021
An efficient algorithm for simulating ensembles of parameterized MHD flow problems
In this paper, we propose, analyze, and test an efficient algorithm for ...
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06/28/2021
Continuous data assimilation and long-time accuracy in a C^0 interior penalty method for the Cahn-Hilliard equation
We propose a numerical approximation method for the Cahn-Hilliard equati...
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05/19/2021
Enabling fast convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier-Stokes via Anderson acceleration
This paper considers an enhancement of the classical iterated penalty Pi...
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04/27/2021
A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains
We introduce a mimetic dual-field discretization which conserves mass, k...
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06/12/2020
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
We study a continuous data assimilation (CDA) algorithm for a velocity-v...
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04/14/2020
Acceleration of nonlinear solvers for natural convection problems
This paper develops an efficient and robust solution technique for the s...
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02/04/2020