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06/06/2023
Second order error bounds for POD-ROM methods based on first order divided differences
This note proves, for simplicity for the heat equation, that using BDF2 ...
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04/17/2023
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure
Reduced order methods (ROMs) for the incompressible Navier–Stokes equati...
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03/20/2023
Pressure and convection robust bounds for continuous interior penalty divergence-free finite element methods for the incompressible Navier-Stokes equations
In this paper we analyze a pressure-robust method based on divergence-fr...
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06/18/2022
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution
In this paper we study the influence of including snapshots that approac...
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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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12/23/2021
Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps
This paper studies fully discrete finite element approximations to the N...
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12/06/2021
On Discrete-Time Approximations to Infinite Horizon Differential Games
In this paper we study a discrete-time semidiscretization of an infinite...
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11/14/2021
Optimal bounds for numerical approximations of infinite horizon problems based on dynamic programming approach
In this paper we get error bounds for fully discrete approximations of i...
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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