A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure

2010 ◽  
Vol 26 (3-4) ◽  
pp. 290-304 ◽  
Author(s):  
Tong Wang ◽  
Tsorng-Whay Pan ◽  
Roland Glowinski
Keyword(s):  
Viscous Flow ◽  
External Pressure ◽  
Elastic Tube ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Uniform External Pressure ◽  
Domain Method

scholarly journals Numerical simulation and optimal shape for viscous flow by a fictitious domain method

1995 ◽  
Vol 20 (8-9) ◽  
pp. 695-711 ◽  
Author(s):  
Roland Glowinski ◽  
Tsorng-Whay Pan ◽  
Anthony J. Kearsley ◽  
Jacques Periaux
Keyword(s):  
Numerical Simulation ◽  
Viscous Flow ◽  
Optimal Shape ◽  
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

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.

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