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Publisher
Springer, Berlin, Heidelberg
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Authors: Mathieu Luisier Gerhard Klimeck Andreas Schenk Wolfgang Fichtner Timothy B Boykin
Publish Date: 2008/8/25
Volume: , Issue: , Pages: 790-800
Abstract
This paper describes an efficient sparse linear solver for block tridiagonal systems arising from atomistic device simulation based on the nearestneighbor tightbinding method The algorithm is a parallel Gaussian elimination of blocks corresponding to atomic layers instead of single elements It is known in the physics community as the renormalization method introduced in 1989 by Grosso et al Phys Rev B 40 12328 1989 Here we describe in details the functionality of the algorithm and we show that it is faster than direct sparse linear packages like Pardiso MUMPS or SuperLU DIST and that it scales well up to 512 processors
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