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
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;
Conference_Titel :
Actual Problems of Electronics Instrument Engineering (APEIE), 2014 12th International Conference on
Conference_Location :
Novosibirsk
Print_ISBN :
978-1-4799-6019-4
DOI :
10.1109/APEIE.2014.7040757
