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Faculty of Mathematics and Natural SciencesProf. Dr. Axel Klawonn

Publications Patrick Radtke

Publications (refereed)

  1. Axel Klawonn, Martin Lanser, Patrick Radtke, and Oliver Rheinbach, "On an Adaptive Coarse Space and on Nonlinear Domain Decomposition", In: Domain Decomposition Methods in Science and Engineering XXI, Editors: Erhel, J., Gander, M.,Halpern, L., Pichot, G., Sassi, T., Widlund, O.B. Springer Lecture Notes on Computational Science and Engineering, Vol. 98, 2014, pp. 71-83. Proceedings of the 21st International Conference on Domain Decomposition Methods in Science and Engineering, Rennes, France, June 25-29, 2012. pdf http://dx.doi.org/10.1007/978-3-319-05789-7_6
  2. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "FETI-DP Methods with an Adaptive Coarse Space", SIAM Journal of Numerical Analyis (SINUM), Vol. 53, No. 1, pp. 297-320, January 2015. dowload pdf http://dx.doi.org/10.1137/130939675.
  3. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "Adaptive Coarse Spaces for BDDC with a Transformation of Basis", Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 104, 2016, pp 301-309. Submitted January 2014, revised version July 2014. Accepted for publication August 2014. Published March 2016. .Preprint and Link.
  4. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "A Newton-Krylov-FETI-DP Method with an Adaptive Coarse Space Applied to Elastoplasticity", Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 104, 2016, pp. 293-300. Submitted January 2014, revised version May 2014. Accepted for publication August 2014. Published March 2016. Preprint and Link.
  5. Axel Klawonn, Patrick Radtke, Oliver Rheinbach, "A Comparison of Adaptive Coarse Spaces for Iterative Substructuring Methods in Two Dimensions", Electronic Transactions on Numerical Analysis (ETNA), Vol. 45, pp. 75–106, 2016. Preprint and Link.

Dissertation

  • Patrick Radtke, "Adaptive Coarse Spaces for FETI-DP and BDDC Methods", Dissertation, Universität zu Köln (2015). Link to Dissertation.