06104424

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06104424 Emans, Maximilian Parallel coarse-grid treatment in AMG for coupled systems. Wyrzykowski, Roman (ed.) et al., Parallel processing and applied mathematics. 9th international conference, PPAM 2011, Torun, Poland, September 11--14, 2011. Revised selected papers, Part II. Berlin: Springer (ISBN 978-3-642-31499-5/pbk). Lecture Notes in Computer Science 7204, 361-370 (2012). 2012 Berlin: Springer EN

doi:10.1007/978-3-642-31500-8_37

Summary: We present a parallel implementation of an agglomeration scheme for the coarse-grid treatment in algebraic multigrid algorithms for coupled systems. The association of the components of the solution vector with different physical unknowns -- bearing particular difficulties to parallel agglomeration techniques -- is considered through an appropriate re-ordering of the components of the solution vector. A benchmark of a system of mixed elliptic-hyperbolic character shows that the proposed scheme allows to apply an agglomeration technique which is significantly faster than conventional approaches based on a parallel direct solution of the coarse-grid system.