Title :
Forward solution speed-up for 3D eddy current inversion
Author :
Badics, Zsolt ; Pávó, József ; Matsumoto, Yoshihiro ; Komatsu, Hidenobu
Author_Institution :
Ansoft Corp., Pittsburgh, PA, USA
fDate :
7/1/2000 12:00:00 AM
Abstract :
The forward solver is the bottleneck in eddy current flaw reconstruction because the solution of a dense system matrix is required. Two methods are developed to increase the solution speed. The cell merging technique gives impressive speed-up for cracks but a fully adaptive version for volumetric flaws has not been found yet. The other algorithm based on sparse representation of rank deficient matrix blocks and the Woodbury procedure is slower than the cell merging technique but it is robust and still significantly faster than the LU factorization. Creating a hierarchical partitioning tree ensures the stability of the latter algorithm
Keywords :
eddy current testing; flaw detection; inverse problems; matrix decomposition; sparse matrices; 3D eddy current inversion; LU factorization; Woodbury algorithm; cell merging; flaw reconstruction; hierarchical partitioning tree; matrix decomposition; sparse representation; Eddy currents; Equations; Inspection; Matrix decomposition; Merging; Partitioning algorithms; Robustness; Shape; Sparse matrices; Stability;
Journal_Title :
Magnetics, IEEE Transactions on