Veröffentlichungen und Berichte von Christoph Pflaum

Veröffentlichungen:

  1. C. Pflaum and U. Rüde, Gauss adaptive relaxation for the multilevel solution of partial differential equations on sparse grids, in Proceedings of the 2nd Gauss Symposium, International Conference, C. Computing and Information, Munich, Germany, 1993,
    Journal of Computing and Information, vol. 4, 1994
  2. C. Pflaum, Interpolations-, Approximations- und Kombinationseigenschaften dünner Gitter,
    ZAMM, 699-700, vol. 75, 1995
  3. T. Dornseifer und C. Pflaum, Discretization of elliptic differential equations on curvilinear bounded domains with sparse grids,
    Computing, Nummer 3, vol. 56, Seite 197-213, 1996.
  4. C. Pflaum, On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces ,
    Electronic Journal of Differential Equations , Vol. 1996, No. 11, pp. 1--9.
  5. C. Pflaum, Convergence of the combination technique for second-order elliptic differential equations ,
    SIAM Journal on Numerical Analysis, Volume 34, Issue 6, pp. 2431-2455, 1997.
  6. C. Pflaum, A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids ,
    Numer. Math., vol. 79, pp. 141-155, 1998.
  7. P. Hemker, C. Pflaum, Approximation on partially ordered sets of regular grids,
    Applied Numerical Mathematics, (25)1 (1997) pp. 55-87.
  8. C. Pflaum und A. Zhou, Error analysis of the combination technique ,
    Numer. Math., vol.84, pp. 327-350, 1999.
  9. M. Dobrowolski, S. Gräf, C. Pflaum, On A Posteriori Error Estimators in the Finite Element Method on Anisotropic Meshes,
    Electronic Transactions on Numerical Analysis , Vol. 8, pp.36--45, 1999.
  10. C. Pflaum, Estimation of the Condition Number of Additive Preconditioners by the Constant in the Strengthened Cauchy-Schwarz Inequality ,
    ZAMM 80 (2000) Suppl. 3, S841 - S842.
  11. C. Pflaum, Algebraic analysis of multigrid algorithms,
    Numerical Linear Algebra with Applications, Volume 6, Issue 8, pp. 701-728, 1999.
  12. C. Pflaum, Robust convergence of multilevel algorithms for convection-diffusion equations,
    SIAM Journal on Numerical Analysis, Volume 37, Issue 2, pp. 443-469, 2000.
  13. C. Pflaum, Semi-Unstructured Grids . Computing, Nummer 2, vol. 67, pp. 141-166, 2001.
  14. C. Pflaum, Expression Templates for Partial Differential Equations .
    Computing and Visualization in Science, Volume 4, Issue 1, pp.1-8, 2001.
  15. C. Pflaum, Problem Dependent Generalized Prewavelets . Computing, Nummer 4, vol. 69, pp. 339-352, 2002.
  16. C. Pflaum, Improved discretization error estimates for first-order system least squares .
    T.Manteuffel, S.McCormick, and C.Pflaum.
    JOURNAL OF NUMERICAL MATHEMATICS, Vol.11, No.2, 2003, pp.75-177 2003.
  17. K. Altmann, C. Pflaum, D. Seider. Three-Dimensional Finite Element Computation of Laser Cavity Eigenmodes,
    Applied Optics-LPE , vol. 43, issue 9, page 1892, 2004.
  18. C. Pflaum, A multigrid conjugate gradient method,
    Applied Numerical Mathematics. Available online Dezember 2007.
  19. J. Härdtlein and C. Pflaum and A. Linke and H. Wolters, Advanced Expression Templates Programming,
    Computing and Visualization in Science, accepted for publication. 2008.
  20. C. Pflaum and Z. Rahimi. Automatic Parallelization of Staggered Grid Codes with Expression Templates,
    Journal on Computational Science and Engineering, accepted for publication. 2008.
  21. B. Heubeck and C. Pflaum and G. Steinle. New Finite Elements for Large-Scale Simulation of Optical Waves,
    SIAM Journal on Scientific Computing (SISC), accepted for publication. 2008.
  22. B. Heubeck, C. Pflaum. Convergence Analysis of Non-conforming Trigonometric Finite Wave Elements.
    Journal of Computational and Applied Mathematics (JCAM), accepted for publication. 2008.

Tagungsbände, Berichte und Vorveröffentlichungen:

  1. C. Pflaum, Discretization of second order elliptic differential equations on sparse grids, in Progress in partial differential equations, Pont-a-Mousson 1994, vol. 2, calculus of variations, applications and computations, Longman, Pitman Research Notes in Mathematics Series, C. Bandle and J. Bemelmans and M. Chipot and J. Saint Jean Paulin and I. Shafrir, June, 1994
  2. C. Pflaum, A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids , In Proceedings of the Copper Mountain Conference, 1995.
  3. C. Pflaum and U. Rüde Gauss adaptive relaxation for the multilevel solution of partial differential equations on sparse grids , SFB-Report 342/13/93 A, Technische Universität München, 1993.
  4. C. Pflaum, Convergence of the combination technique for the finite element solution of Poisson`s equation , SFB-Report 342/14/93 A, Technische Universität München, 1993.
  5. C. Pflaum und A. Zhou Error analysis of the combination solution , Preprint No. 223, Mathematische Institute, Universität Würzburg, 1997.
  6. C. Pflaum, A robust multilevel algorithm for anisotropic elliptic equations , Preprint No. 224, Mathematische Institute, Universität Würzburg, 1997.
  7. T. Manteuffel, S. McCormick und C. Pflaum, Improved discretization error estimates for first-order system least squares (FOSLS) , Preprint No. 227, Mathematische Institute, Universität Würzburg, 1998.
  8. M. Dobrowolski, S. Gräf und C. Pflaum, On a posteriori error estimators in the finite element method on anisotropic meshes , Preprint No. 228, Mathematische Institute, Universität Würzburg, 1998.
  9. C. Pflaum, Problem Dependent Generalized Prewavelets , erscheint in den Proceedings des GAMM-Seminars 1999.
  10. C. Pflaum, Estimation of the Condition Number of Additive Preconditioners on Tensor Product Grids .
    In Multigrid Methods VI, Proceedings of the Sixth European Multigrid Conference Held in Gent, September 27-30, 1999,
    Lecture Notes in Computational Science and Engineering, vol 14, Springer, 2000.
  11. C. Pflaum, Expression Templates for Partial Differential Equations , Preprint No. 239, Mathematische Institute, Universität Würzburg, 1999.
  12. C. Pflaum, Subdivision of Boundary Cells in 3D , Preprint No. 240, Mathematische Institute, Universität Würzburg, 2000.
  13. C. Pflaum, The Maximum Angle Condition of Semi-Unstructured Grids , Proc. Conf. Finite Element Methods, Three-dimensional Problems (Jyvaskyla, 2000), GAKUTO Internat. Series, Tokio, Math. Sci. Appl. vol. 15 (2001), 229-242. erscheint in den Proceedings der Tagung FEM3D in Finnland, Jyväskylä, Juni 2000.
  14. R. D. Falgout, C. Pflaum, Automatic Parallelization With Expression Templates,
    Lawrence Livermore National Laboratory technical report UCRL-JC-146179,
    November 2001.
  15. C. Pflaum, D. Seider, Efficient Implementation of Operators on Semi-Unstructured Grids ,
    in P. Sloot, K. Tan, J. Dongarra, and A. Hoekstra, editors,
    Proceedings of the International Conference on Computational Science - ICCS 2002,
    Lecture Notes in Computer Science 2331, Part III, Springer, 2002.
  16. A. Linke, C. Pflaum, B. Bergen Scientific Progress in the Par-EXPDE-Project ,
    in High Performance Computing in Science and Engineering, Munich 2002,
    Transactions of the First Joint HLRB and KONWIHR Status and Result Workshop,
    Oct. 10-11, 2002, Technical University of Munich, Germany. editors: S. Wagner, W. Hanke, A. Bode, F. Durst, Springer.
  17. K. Altmann, C. Pflaum, D. Seider 3D Finite Element Approximation of the Resonator Equation in Laser Simulation , Preprint No. 247, Mathematische Institute, Universität Würzburg, 2002.
  18. K. Altmann, C. Pflaum, D. Seider Semi-Unstructured Grids in the Laser Simulation Program LASCAD . PAMM, page 438-439, 31 Mar 2003, Wiley.
  19. K. Altmann, C. Pflaum, D. Seider.
    Computation of laser cavity eigenmodes by the use of a 3D finite element approach
    OSA Proceedings, Advanced Solid State Photonics, January, 2004
  20. K. Altmann, C. Pflaum, D. Seider.
    Three-dimensional computation of laser cavity Eigenmodes by the use of finite element analysis (FEA).
    SPIE Proceedings, Vol. 5333 Laser Resonators and Beam Control VII, January, 2004.
  21. K. Altmann, C. Pflaum, D. Seider Modeling and Computation of Laser Cavity Eigenmodes.
    Proceedings of the Conference Photonics Europe (April 2004 in Strasbourg),
    Proceedings of SPIE, Solid State Lasers and Amplifiers, Volume 5460, 2004.
  22. J. Härdtlein, A. Linke, C. Pflaum:
    Fast Expression Templates - Object Oriented High Performance Programming,
    LNCS Vol. 3515, pp. 1055-1063, Springer 2005
  23. Julien Didierjean, Sébastien Forget, Sebastien Chenais, Frédéric Druon, François Balembois, Patrick Georges, LCFIO-Université Paris Sud (France); Konrad Altmann, Christoph Pflaum, January 2005
    High resolution absolute temperature mapping in laser crystals in diode-end-pumped configuration. Proceedings of Photonics West. SPIE 5707, 370 (2005) .
  24. Härdtlein Jochen ; Pflaum Christoph: Efficient and User-friendly Computation of local Stiffness Matrices .
    In: Hülsemann, Frank ; Kowarschik, Markus ; Rüde, Ulrich (Hrsg.) : 18th Symposium Simulationstechnique ASIM 2005 Proceedings (18th Symposium Simulationstechnique ASIM 200 Erlangen 12.9. -15.9.2005).
    Erlangen : SCS Publishing House, 2005, S. 748--753.
  25. Britta Heubeck and Christoph Pflaum:
    In: Sennaroglu, A. ; Fujimoto, J.G. ; Terry, A.C. (Hrsg.) : SPIE (Veranst.): Solid State Lasers and Amplifiers II (Photonics Europe Strasbourg 5. - 6. April 2006). Bd. 6190.
    Bellingham, Washington : SPIE, 2006, S. 253-260. Proceedings SPIE 6190, 61900X (2006).
  26. Britta Heubeck and Christoph Pflaum: A new simulation technique for DFB lasers.
    Proceedings SPIE 6997, 69970A (2008).
  27. Matthias Wohlmuth and Christoph Pflaum: 3-dimensional simulation of solid state lasers
    Proceedings SPIE 6998, 69980I (2008).
  28. Christoph Pflaum and Matthias Wohlmuth: 3-dimensional simulation of the solid state lasers Proceedings SPIE 6871, 687106 (2008)

Habilitationsschrift:

Fast and Robust Multilevel Algorithms,
Universität Würzburg, 1999.

Doktorarbeit:

Diskretisierung elliptischer Differentialgleichungen mit dünnen Gittern,
Technische Universität München, 1996.

Diplomarbeit:

Anwendung von Mehrgitterverfahren auf dünnen Gittern ,
Technische Universität München, 1992.

Christoph Pflaum
Last modified: Thu Jun 19 15:43:53 CEST 2008