Graduate Seminar: Yang Bao

Date(s) - 10 Oct 2018
1:10 PM - 2:00 PM

3043 ECpE Building Addition

Speaker: Yang Bao, ECpE Graduate Student

Adviser: Jiming Song

Title: Adaptive Cross Approximation Algorithm for Accelerating BEM in Eddy Current Nondestructive Evaluation

Abstract: The eddy current problem is formulated by boundary integral equation and discretized into matrix equations by Boundary Element Method (BEM). Stratton-Chu formulation is selected and implemented for the conductive medium which does not has low frequency breakdown issue. The Adaptive Cross Approximation (ACA) fast algorithm has the advantage of purely algebraic and kernel independent. It starts with partitioning the object to get diagonal blocks, near blocks and far blocks. The far-block interactions which are rank deficient can be compressed by ACA algorithm meanwhile the elements for diagonal-block interactions and near-block interactions are stored and computed by BEM. We apply modified ACA (MACA) based on integral kernel truncations for more memory saving while keeping almost same accuracy compared with traditional ACA. For numerical testing, several practical NDE examples such as coil above a half space conductor, tube in a fast reactor and Testing Electromagnetic Analysis Methods (TEAM) workshop benchmark problem are presented to show the robust and efficiency of our method. With the aid of ACA, for electrically small problems, the complexity of both the memory requirement and CPU time for BEM are reduced to O(NlogN) instead of O(N^2).

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