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07/26/2022
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
This article presents error bounds for a velocity-pressure segregated PO...
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06/07/2022
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
In this paper, we work uniform error bounds for proper orthogonal decomp...
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03/29/2022
On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
We consider proper orthogonal decomposition (POD) methods to approximate...
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10/08/2020
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
In this paper, we resolve several long standing issues dealing with opti...
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05/30/2020
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows
Proper orthogonal decomposition (POD) stabilized methods for the Navier-...
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04/20/2020
Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations
The error analysis of a proper orthogonal decomposition (POD) data assim...
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07/22/2019
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows
In this paper, we propose a new stabilized projection-based POD-ROM for ...
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07/12/2019