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A study of linear system solvers for finite element applications in plasma physics
1999 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The aim of this work is to find efficient methods that solve the linear system that emerges from the finite element discretization of Maxwell's equations that model the electromagnetic field in a fusion plasma. A more efficient method will enable the use of a finer grid and will give improved accuracy in numerical solutions. Of special interest is iterative solvers which can be efficiently implemented for parallel computing. One problem is that if no special precaution is taken, non-physical spurious solutions cause break-downs in iterative solvers. One way of avoiding these solutions is to solve Maxwell's equations in terms of potential fields instead of electric fields. This is done in the PENN-code, [A. Jaun et al., Comput. Phys. Commun. 92 (1995)15] which presently uses LU-factorization for solving. Several iterative methods are investigated and the ILU preconditioning with the transpose-free QMR solver was found to decrease the number of floating point operations by an order of magnitude compared to the direct solver. By using an iterative solver the sparsity of the matrix is conserved and the door is opened towards parallelization.

Place, publisher, year, edition, pages
Keyword [en]
Technology, iterative, Maxwell's equations, linear systems, preconditioner, incomplete LU-decomposition
Keyword [sv]
URN: urn:nbn:se:ltu:diva-50026ISRN: LTU-EX--99/244--SELocal ID: 7516ce45-25cd-41f7-9446-07cf3748f3a5OAI: diva2:1023379
Subject / course
Student thesis, at least 30 credits
Educational program
Civil Engineering programmes 1997-2000, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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