Implementation of parallel GMRES(m) FFT method for solving large scale electromagnetic problems

2009 ◽  
Vol 51 (9) ◽  
pp. 2084-2087 ◽  
Author(s):  
Ming Zhang ◽  
Tat Soon Yeo ◽  
Le Wei Li
Keyword(s):  
Large Scale ◽  
Electromagnetic Problems

A limited-memory quasi-Newton inversion for 1D magnetotellurics

Geophysics ◽  
2006 ◽  
Vol 71 (5) ◽  
pp. G191-G196 ◽  
Author(s):  
Anna Avdeeva ◽  
Dmitry Avdeev
Keyword(s):  
Inverse Problem ◽  
Large Scale ◽  
Convergence Rates ◽  
Earth Model ◽  
Problem Solution ◽  
Data Set ◽  
Electromagnetic Problems ◽  
Limited Memory ◽  
Conductivity Structure ◽  
Quasi Newton

We apply a limited-memory quasi-Newton (QN) method to the 1D magnetotelluric (MT) inverse problem. Using this method we invert a realistic synthetic MT impedance data set calculated for a layered earth model. The calculation of gradients based on the adjoint method speeds up the inverse problem solution many times. In addition, regularization stabilizes the QN inversion result and a few correction pairs are sufficient to produce reasonable results. Comparison with the L-BFGS-B algorithm shows similar convergence rates. This study is a first step towards the solution of large-scale electromagnetic problems, with a full treatment of the 3D conductivity structure of the earth.

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