New absorbing boundary conditions for the finite element solution of 3D Maxwell's equations

1995 ◽  
Vol 31 (3) ◽  
pp. 1696-1701 ◽  
Author(s):  
F. Collino ◽  
P. Joly
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Absorbing Boundary Conditions ◽  
Finite Element Solution ◽  
Element Solution ◽  
Absorbing Boundary

A NONCONFORMING MIXED FINITE ELEMENT METHOD FOR MAXWELL'S EQUATIONS

2000 ◽  
Vol 10 (04) ◽  
pp. 593-613 ◽  
Author(s):  
JIM DOUGLAS ◽  
JUAN E. SANTOS ◽  
DONGWOO SHEEN
Keyword(s):  
Finite Element ◽  
Mixed Method ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Mixed Finite Element ◽  
Three Dimensional ◽  
Mixed Finite Element Method ◽  
Absorbing Boundary Conditions ◽  
Absorbing Boundary ◽  
Three Dimensional Models

We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. The numerical procedures are employed to solve the direct problem in magnetotellurics consisting in determining a scattered electromagnetic field in a model of the earth having bounded conductivity anomalies of arbitrary shapes. A domain-decomposition iterative algorithm which is naturally parallelizable and is based on a hybridization of the mixed method allows the solution of large three-dimensional models. Convergence of the approximation by the mixed method is proved, as well as the convergence of the iteration.

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