Prediction of geometric uncertainty effects on Fluid Dynamics by Polynomial Chaos and Fictitious Domain method

2010 ◽  
Vol 39 (1) ◽  
pp. 137-151 ◽  
Author(s):  
Lucia Parussini ◽  
Valentino Pediroda ◽  
Carlo Poloni
Keyword(s):  
Fluid Dynamics ◽  
Polynomial Chaos ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method ◽  
Geometric Uncertainty

A version of the fictitious-domain method

1988 ◽  
Vol 28 (2) ◽  
pp. 134-139
Author(s):  
G.L. Siganevich
Keyword(s):  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

scholarly journals An optimal adaptive Fictitious Domain Method

2019 ◽  
Vol 88 (319) ◽  
pp. 2101-2134 ◽  
Author(s):  
Stefano Berrone ◽  
Andrea Bonito ◽  
Rob Stevenson ◽  
Marco Verani
Keyword(s):  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

A fictitious domain method for particulate flows of arbitrary density ratio

2019 ◽  
Vol 193 ◽  
pp. 104293 ◽  
Author(s):  
Yan Xia ◽  
Zhaosheng Yu ◽  
Jian Deng
Keyword(s):  
Density Ratio ◽  
Fictitious Domain ◽  
Particulate Flows ◽  
Fictitious Domain Method ◽  
Domain Method

scholarly journals Numerical Implementation of the Fictitious Domain Method for Elliptic Equations

2014 ◽  
Vol 60 (3) ◽  
pp. 219-223 ◽  
Author(s):  
Almas N. Temirbekov ◽  
Waldemar Wójcik
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Iterative Process ◽  
Computational Algorithm ◽  
Fictitious Domain ◽  
Special Method ◽  
Numerical Implementation ◽  
Fictitious Domain Method ◽  
Varying Coefficients ◽  
Domain Method

Abstract In this paper, we consider an elliptic equation with strongly varying coefficients. Interest in the study of these equations is connected with the fact that this type of equation is obtained when using the fictitious domain method. In this paper, we propose a special method for the numerical solution of elliptic equations with strongly varying coefficients. A theorem is proved for the rate of convergence of the iterative process developed. A computational algorithm and numerical calculations are developed to illustrate the effectiveness of the proposed method.

A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows

2000 ◽  
Vol 91 (2-3) ◽  
pp. 165-188 ◽  
Author(s):  
P. Singh ◽  
D.D. Joseph ◽  
T.I. Hesla ◽  
R. Glowinski ◽  
T.-W. Pan
Keyword(s):  
Lagrange Multiplier ◽  
Fictitious Domain ◽  
Particulate Flows ◽  
Fictitious Domain Method ◽  
Domain Method

A Fictitious-Domain Method with Distributed Multiplier for the Stokes Problem

2002 ◽  
pp. 159-174 ◽  
Author(s):  
Vivette Girault ◽  
Roland Glowinski ◽  
T. W. Pan
Keyword(s):  
Stokes Problem ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

A Fictitious Domain Method for a Unilateral Contact Problem

2003 ◽  
pp. 431-436
Author(s):  
Eliane Bécache ◽  
Patrick Joly ◽  
Gilles Scarella
Keyword(s):  
Contact Problem ◽  
Unilateral Contact ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method
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