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.

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 for linear elasticity problems

2001 ◽  
pp. 346-350
Author(s):  
Janne Martikainen ◽  
Raino A.E. Mäkinen ◽  
Tuomo Rossi ◽  
Jari Toivanen
Keyword(s):  
Linear Elasticity ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method ◽  
Elasticity Problems
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