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A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation

Published 8 Nov 2021 in math.NA and cs.NA | (2111.04242v1)

Abstract: A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem for a wave-like partial differential equation. The presence of the Carleman Weight Function in the corresponding Tikhonov-like cost functional ensures the global strict convexity of this functional. Numerical results are presented to illustrate the effectiveness and efficiency of the proposed method.

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