Error Estimates in Space and Time for Tracking-type Control of the Instationary Stokes System

2003 ◽  
pp. 87-103
Author(s):  
Klaus Deckelnick ◽  
Michael Hinze
Keyword(s):  
Error Estimates ◽  
Stokes System ◽  
Space And Time

Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system

2017 ◽  
Vol 33 (4) ◽  
pp. 1208-1223 ◽  
Author(s):  
Eduard Feireisl ◽  
Radim Hošek ◽  
David Maltese ◽  
Antonín Novotný
Keyword(s):  
Error Estimates ◽  
Stokes System ◽  
Numerical Solutions ◽  
Unconditional Convergence ◽  
Navier Stokes

scholarly journals Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains

2016 ◽  
Vol 51 (1) ◽  
pp. 279-319 ◽  
Author(s):  
Eduard Feireisl ◽  
Radim Hošek ◽  
David Maltese ◽  
Antonín Novotný
Keyword(s):  
Numerical Method ◽  
Error Estimates ◽  
Stokes System ◽  
Navier Stokes

scholarly journals Numerical analysis for a chemotaxis-Navier-Stokes system

2020 ◽  
Author(s):  
Abelardo Duarte-Rodríguez ◽  
María A. Rodríguez-Bellido ◽  
Diego A. Rueda-Gómez ◽  
Élder J. Villamizar-Roa
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Numerical Scheme ◽  
Stokes System ◽  
Equivalent Model ◽  
Navier Stokes ◽  
Optimal Error Estimates ◽  
Element Approximation ◽  
Optimal Error ◽  
Uniform Estimates

In this paper we develop a numerical scheme for approximating a $d$-dimensional chemotaxis-Navier-Stokes system, $d=2,3$, modeling cellular swimming in incompressible fluids. This model describes the chemotaxis-fluid interaction in cases where the chemical signal is consumed with a rate proportional to the amount of organisms. We construct numerical approximations based on the Finite Element method and analyze optimal error estimates and convergence towards regular solutions. In order to construct the numerical scheme, we use a splitting technique to deal with the chemo-attraction term in the cell-density equation, leading to introduce a new variable given by the gradient of the chemical concentration. Having the equivalent model, we consider a fully discrete Finite Element approximation which is  well-posed and mass-conservative. We obtain uniform estimates and analyze the convergence of the scheme. Finally, we present some numerical simulations to verify the good behavior of our scheme, as well as to check numerically the optimal error estimates proved in our theoretical analysis.

Systematic effects in observed parallaxes

1978 ◽  
Vol 48 ◽  
pp. 31-35
Author(s):  
R. B. Hanson
Keyword(s):  
Error Estimates ◽  
Zero Point ◽  
Absolute Zero ◽  
Apparent Magnitude ◽  
Coherent System ◽  
Preliminary Results ◽  
General Catalogue ◽  
Systematic Effects ◽  
New Evidence ◽  
Right Ascension

Several outstanding problems affecting the existing parallaxes should be resolved to form a coherent system for the new General Catalogue proposed by van Altena, as well as to improve luminosity calibrations and other parallax applications. Lutz has reviewed several of these problems, such as: (A) systematic differences between observatories, (B) external error estimates, (C) the absolute zero point, and (D) systematic observational effects (in right ascension, declination, apparent magnitude, etc.). Here we explore the use of cluster and spectroscopic parallaxes, and the distributions of observed parallaxes, to bring new evidence to bear on these classic problems. Several preliminary results have been obtained.

Languages in Space and Time

2020 ◽  
Author(s):  
Marco Patriarca ◽  
Els Heinsalu ◽  
Jean Leó Leonard
Keyword(s):  
Space And Time
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