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
2014 ◽  
Vol 60 (3) ◽  
pp. 219-223 ◽  
Author(s):  
Almas N. Temirbekov ◽  
Waldemar Wójcik

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.


2000 ◽  
Vol 91 (2-3) ◽  
pp. 165-188 ◽  
Author(s):  
P. Singh ◽  
D.D. Joseph ◽  
T.I. Hesla ◽  
R. Glowinski ◽  
T.-W. Pan

Author(s):  
Janne Martikainen ◽  
Raino A.E. Mäkinen ◽  
Tuomo Rossi ◽  
Jari Toivanen

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