ETH Zürich

Prof. Dr. Peter Arbenz

263-5001-00L Introduction to finite elements and sparse linear system solving
Fall semester 2017

Friday 8-11, CAB G56
4 ECTS credits

The finite element(FE) method is the method of choice for (approximately) solving partial differential equations on complicated domains. In the first third of the lecture, we give an introduction to the method. The rest of the lecture will be devoted to methods for solving the large sparse linear systems of equations that are typical for the FE method. We will consider both direct and iterative methods with emphasis on the latter.




  1. M. G. Larson, F. Bengzon: The Finite Element Method: Theory, Implementation, and Applications. Springer, Heidelberg, 2013.
  2. H. Elman, D. Sylvester, A. Wathen: Finite elements and fast iterative solvers (2nd ed.). Oxford University Press,  Oxford,  2014.
    Chapter 1 of 1st edition.
  3. Y. Saad:Iterative methods for sparse linear systems (2nd ed.). SIAM, Philadelphia, 2003.
  4. T. Davis: Direct Methods for Sparse Linear Systems. SIAM,  Philadelphia, 2006.
  5. T. Davis, S. Rajamanickam, W. Sid-Lakhdar: A survey of direct methods for sparse linear systems. Acta Numerica, 25, pp. 383-566 (2016).
  6. V. Dolean, P. Jolivet, F. Nataf: An Introduction to Domain Decomposition Methods: Algorithms, Theory, and Parallel Implementation. SIAM,  Philadelphia,  2015.
  7. H.R. Schwarz: Die Methode der finiten Elemente (3rd ed.). Teubner,  Stuttgart,  1991.

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