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The preconditioned biconjugate gradient algorithm applied to geophysical electromagnetic modeling
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 9th International Congress of the Brazilian Geophysical Society, Sep 2005, cp-160-00202
Abstract
Solution of the large system of equations that results from a finite-element approximation in electromagnetic modelling over a mesh strongly refined is most commonly done iteratively, because direct solution requires excessive amounts of memory and computation. The conjugate gradient – type methods used in combination with preconditioning – are among the most effective iterative procedures for solving large sparse nonsingular systems of linear equations Ax = b.