DocumentCode
116728
Title
Multilevel algebraic methods of modeling the 3D electromagnetic field
Author
Shurina, E.P. ; Arkhipov, D.A.
Author_Institution
Trofimuk Inst. of Pet. Geol. & Geophys., Novosibirsk, Russia
fYear
2014
fDate
2-4 Oct. 2014
Firstpage
603
Lastpage
610
Abstract
In this paper we consider the special multilevel algorithm for solving systems of linear algebraic equations obtained by the finite element discretization of the vector Helmholtz equation in the 3D domains with internal borders. The algorithm is based on the multilevel Schwarz method and the domain decomposition with an overlap. The results of calculations allow us to estimate the contribution of the each stage of the algorithm to the acceleration of the calculation procedures.
Keywords
Helmholtz equations; electromagnetic wave propagation; finite element analysis; linear algebra; 3D electromagnetic field; finite element discretization; linear algebraic equations; multilevel Schwarz method; multilevel algebraic methods; vector Helmholtz equation; Accuracy; Equations; Finite element analysis; Iterative methods; Kernel; Three-dimensional displays; Vectors; multilevel iterative methods; the multiplicative Schwarz method;
fLanguage
English
Publisher
ieee
Conference_Titel
Actual Problems of Electronics Instrument Engineering (APEIE), 2014 12th International Conference on
Conference_Location
Novosibirsk
Print_ISBN
978-1-4799-6019-4
Type
conf
DOI
10.1109/APEIE.2014.7040757
Filename
7040757
Link To Document