Sommer, Malte, Hölz, Sebastian and Jegen, Marion (2017) Implementation of the Rational Krylov subspace method for marine tCSEM forward modeling and sensitivity calculation on GPU. [Talk] In: 6. International Symposium on Three-Dimensional Electromagnetics (3DEM-6). , 28.-30.03.2017, Berkeley, California, USA .

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Abstract

We implemented the Rational-Krylov-Subspace (RKS) Algorithm on graphics cards for marine 3D time domain CSEM forward modeling as well as sensitivity calculation. We present a comparison between the run-time of a) the new code and the older Polynomial-Krylov-Subspace method code and b) with run-times on old and new graphics cards (to quantify the improvements by hardware and by algorithms). We show, that both together improve the performance significantly by a factor of 20 in comparison with an old GPU parallelized code. For sensitivity computation, we expanded the implementation of the RKS algorithm to block spaces and implemented a model reduction framework, instead of the commonly used adjoint method. Comparisons with brute-forced Jacobians validate the approach.

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