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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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12/21/2022
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations
This paper considers the discretization of the time-dependent Navier-Sto...
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08/30/2022
Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation
Numerical simulations of pulsatile blood flow in an aortic coarctation r...
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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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06/02/2022
Inf-sup stabilized Scott–Vogelius pairs on general simplicial grids by Raviart–Thomas enrichment
This paper considers the discretization of the Stokes equations with Sco...
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04/15/2022
Finite element methods respecting the discrete maximum principle for convection-diffusion equations
Convection-diffusion-reaction equations model the conservation of scalar...
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11/16/2021
On algebraically stabilized schemes for convection-diffusion-reaction problems
An abstract framework is developed that enables the analysis of algebrai...
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11/21/2018
Re-visiting the single-phase flow model for liquid steel ladle stirred by gas
Ladle stirring is an important step of the steelmaking process to homoge...
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05/24/2017
ParMooN - a modernized program package based on mapped finite elements
ParMooN is a program package for the numerical solution of elliptic and...
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09/15/2016