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An efficient multigrid solver for isogeometric analysis [article]

Álvaro Pé de la Riva and Carmen Rodrigo and Francisco J. Gaspar
2018 arXiv   pre-print
Local Fourier analysis is shown to be very useful for the understanding of the problems encountered in the design of a robust multigrid method for IGA, and it is performed to support the good convergence  ...  Here, we analyze the application of geometric multigrid methods to this type of discretizations, and we propose a multigrid approach based on overlapping multiplicative Schwarz methods as smoothers.  ...  The robustness of the algorithm with respect to the spline degree is demonstrated through numerical experiments and a local Fourier analysis.  ... 
arXiv:1806.05848v1 fatcat:idqhded7cjbxvkblim4hvjltu4

Fast and Efficient Methods for Circuit-based Automotive EMC Simulation [chapter]

Martin L. Zitzmann, Robert Weigel
Springer Proceedings in Physics  
To enable the analysis of real-life problems, an acceleration has to be applied to the modeling as well as the solving process.  ...  The latter is assumed to be the most serious bottleneck in EMC simulation. Various methods for model extraction and solving were investigated.  ...  Acknowledgements The presented thesis is the result of my activities within the scope of a scholarship at the Research and Innovation Center (Forschungs-und Innovationszentrum, FIZ) of the BMW Group in  ... 
doi:10.1007/978-3-540-68768-9_13 fatcat:2p7lrt57nvcoffstdlhsuz2v7a

Parallel Sparse Linear Algebra for Multi-core and Many-core Platforms : Parallel Solvers and Preconditioners

Dimitar Lukarski
For controlling the ll-in entries for the ILU factorization we propose a novel method which we call the power(q)-pattern method.  ...  The rapid hardware shifts from single core to multi-core and many-core processors lead to a gap in the progression of algorithms and programming environments for these platforms the parallel models for  ...  Acknowledgements This thesis would not have been possible without my adviser, Jan-Philipp Weiss, who has been guiding me since my rst years in Karlsruhe and introducing me in the eld of parallel and high  ... 
doi:10.5445/ir/1000026568 fatcat:k6t5usvrrrghrijqvv5jpnqp3a