Fast Solvers and Domain Decomposition Preconditioners for Spectral Element Discretizations of Problems in H(curl), B. Hientzsch, Ph.D. thesis, Courant Institute of Mathematical Sciences, New York University, September 2001; slightly updated version published as: Technical Report TR2001-823, December 2001, Department of Computer Science, Courant Institute ([Abstract] [PS] [PDF] [Bibtex entry])
Fast Solvers and Preconditioners for Spectral Nédélec Element Discretizations of a Model Problem in H(curl), Talk at the 14th International Conference on Domain Decomposition Methods in Cocoyoc, Mexico, January 6-11, 2002: Abstract (PS PDF), Slides for the talk (PS PDF) and proceedings paper (PS PDF). The proceedings have been published in June 2003 by the National Autonomous University of Mexico (UNAM), Mexico City, Mexico, as: Ismael Herrera, David E. Keyes, Olof B. Widlund, Robert Yates (Eds.): Domain Decomposition Methods in Science and Engineering . My paper can be found on pages 427-433. [Bibtex entry]
Work by Olof Widlund's group a.k.a. NYU group update and Fast Solvers and Schwarz Preconditioners for high order discretizations of a Maxwell model problem, Talk at the TOPS SciDAC Project All-hands Meeting, Lawrence Livermore National Laboratory, Livermore, California, January 25-26, 2002. Slides: PS PDF.
Overlapping Preconditioners for Spectral Element Discretizations of a H(curl) model problem, Talk at the Seventh Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, March 24-29, 2002. Abstract: HTML. Slides: PS PDF.
Overlapping Schwarz Preconditioners for Spectral Nédélec Elements for a Model Problem in H(curl) , B. Hientzsch, in revision for Numerische Mathematik. Technical Report TR2002-834, November 2002, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University. (Repository: [PS] [PDF], local: [PS] [PDF][Bibtex entry])
Overlapping Schwarz Preconditioners for Spectral Nédélec Elements, Talk at MAFELAP 2003, the Eleventh International Conference on the Mathematics of Finite Elements and Applications, Invited Presentation in the Minisymposium on Recent developments on p and hp finite element approximations , organized by Christoph Schwab and Andrea Toselli. Brunel University, Uxbridge, June 21-24, 2003. Slides: PS PDF.
Domain Decomposition Preconditioners for Spectral Nédélec Elements in 2D and 3D, Talk at the 15th International Conference on Domain Decomposition Methods in Berlin, Germany, July 21-25, 2003. Slides: (PS PDF, a version typeset with Foiltex: PS PDF.) The terrors mentioned on the last page are the ones of my talk, no other connotations intended. My paper as accepted to the proceedings: (PS PDF). The proceedings have been published by Springer in the series Lecture Notes in Computational Science and Engineering (LNCSE): Domain Decomposition Preconditioners for Spectral Nédélec Elements in Two and Three Dimensions, B. Hientzsch, pages 597-604 in Ralf Kornhuber, Ronald Hoppe, Jacques Périaux, Oliver Pironneau, Olof Widlund, Jinchao Xu (Eds.): Domain Decomposition Methods in Science and Engineering, Proceedings of the 15th International Conference on Domain Decomposition Methods in Berlin, Germany, July 21-25, 2003. Springer-Verlag, 2005, Lecture Notes in Computational Science and Engineering, Vol. 40. (Online proceedings, local copy of paper: [PDF])
Spectral Elements for MHD , Talk at the CEMM Meeting associated to the 46th Annual Meeting of the Division of Plasma Physics, American Physical Society, Savannah, Georgia, November 14, 2004. Slides: [PDF].
Spectral Elements for Two-Dimensional Resistive MHD, Talk at the CEMM Meeting associated to the 2005 International Sherwwod Fusion Theory Conference, Stateline, Nevada, April 10, 2005. Slides: [PDF].
Spectral Elements for Two-Dimensional Resistive MHD, Poster at Poster Session 3, 2005 International Sherwood Fusion Theory Conference, Stateline, Nevada, April 12, 2005. Poster: [PDF].
Spectral Elements for Two-dimensional Resistive MHD, Invited Technical Presentation at The MathWorks in Natick, Massachusets, April 15, 2005. Slides: [PDF].
Spectral Elements for Two-Dimensional Resistive MHD, Invited Talk at the Numerical Analysis Seminar, Los Alamos National Laboratory, Los Alamos, New Mexico, May 25, 2005. Slides: [PDF].
Progress on Spectral Elements for 2D MHD, Talk at the CEMM Meeting associated with the 47th Annual Meeting of the Division of Plasma Physics, American Physical Society, Denver, Colorado, October 22, 2005. Slides: [PDF].
Higher Order Mapped Spectral Elements for 2D MHD, Talk at the CEMM Meeting associated to the Sherwood 2006 Fusion Theory Meeting, Dallas, Texas, April 25, 2006. Slides: [PDF].
Higher Order Spectral Elements in M3D, Talk at the CEMM Meeting associated with the 48th Annual Meeting of the Division of Plasma Physics, American Physical Society, Philadelphia, Pennsylvania, October 29, 2006. Slides: [PDF].
Higher Order Spectral Elements, Short presentation at the Future Directions for M3D Workshop, Princeton Plasma Physics Lab, Princeton, New Jersey, March 19, 2007. Slides: [PDF].
Higher Order Spectral Elements in M3D, Presentation at the Future Directions for M3D Workshop, Princeton Plasma Physics Lab, Princeton, New Jersey, March 20, 2007. Slides: [PDF].