1. P. Deuflhard, B. Erdmann, R. Roitzsch, G.T. Lines: Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics. ZIB Report 06-49 (November 2006). Submitted.

  2. R. Kornhuber, R. Krause, O. Sander, P. Deuflhard, S. Ertel: A Monotone Multigrid Solver for Two Body Contact Problems in Biomechanics. Computing and Visualization in Science (CVS), to appear.

  3. P. Deuflhard, M. Weiser, S. Zachow: Mathematics in Facial Surgery. Notices of the AMS, Volume 53, No. 9, pp. 2-6 (2006).

  4. P. Colli Franzone, P. Deuflhard, B. Erdmann, J. Lang, L.F. Pavarino: Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology. SIAM J. Sci. Comput., Vol. 28, No. 3, pp. 942-962, SIAM (2006).

  5. P. Colli Franzone, P. Deuflhard, B. Erdmann, J. Lang, L.F. Pavarino: Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology. SIAM J. Sci. Comput., Vol. 28, No. 3, pp. 942-962, SIAM (2006).

  6. M. Weiser, A. Schiela, P. Deuflhard: Asymptotic Mesh Independence of Newton's Method Revisited. SIAM J. Numer. Anal. 42 (5), pp. 1830-1845 (2005).

  7. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Anatomy- and physics-based facial animation for craniofacial surgery simulations. Med Biol Eng Comput., vol. 42(2), pp. 167-170 (2004).

  8. M. Weiser, P. Deuflhard, B. Erdmann: Affine Conjugate Adaptive Newton Methods for Nonlinear Elastomechanics. ZIB-Report 04-01 (2004). Optim. Meth. Softw. (2006), to appear.

  9. P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004).

  10. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: A Comparison of Physical Models of Deformable Soft Tissue for Craniofacial Surgery Simulations. Computer Assisted Radiology and Surgery (CARS), London, UK, pp. 343-348 (2003).

  11. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Biomechanical modeling of individual facial emotion expressions. In: Proc. Visualization, Imaging, and Image Processing (VIIP), Malaga, Spain, pp. 7-11 (2002).

  12. M. Weiser, P. Deuflhard: The Central Path towards the Numerical Solution of Optimal Control Problems. Konrad-Zuse-Zentrum Berlin. ZIB-Report 01-12 (July 2001).

  13. E. Gladilin, S. Zachow, P. Deuflhard, H.C. Hege: FE-based Heuristic Approach for the Estimation of Person-Specific Facial Mimics. Accepted for: 5-th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Rome, Italy (2001).

  14. E. Gladilin, S. Zachow, P. Deuflhard, H.C. Hege: Towards a Realistic Simulation of Individual Facial Mimics. Vision, Modeling and Visualisation (VMV), pp. 129-133 (2001).

  15. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Validierung eines linear elastischen Modells für die Weichgewebesimulation in der Mund-Kiefer-Gesichtschirurgie. Bildverarbeitung für die Medizin (BVM), Lübeck, Germany, pp. 57-61 (2001).

  16. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: A Biomechanical Model for Soft Tissue Simulation in Craniofacial Surgery. Medical Imaging and Augmented Reality (MIAR), Hong Kong, China, pp. 137-141 (2001).

  17. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Virtual Fibers: A Robust Approach for Muscle Simulation. IX Mediterranean Conference on Medical and Biological Engineering and Computing (MEDICON), Pula, Croatia, pp. 961-964 (2001).

  18. E. Gladilin, S. Zachow, P. Deuflhard, H.-C. Hege: Validation of a Linear Elastic Model for Soft Tissue Prediction in Craniofacial Surgery. SPIE Medical Imaging, San Diego, pp. 27-35 (2001)

  19. S. Zachow, E. Gladiline, H.-C. Hege, P, Deuflhard: Finite-Element Simulation for Soft Tissue Prediction. In: Lemke, H.U. et al (eds.), Computer Assisted Radiology and Surgery (CARS), Elsevier Science B.V., pp. 23--28 (2000).

  20. P. Wust, J. Nadobny, M. Seebass, D. Stalling, J. Gellermann, H.-C. Hege, P, Deuflhard, R. Felix: Influence of patient models and numerical methods on predicted power deposition patterns. Int. J. Hyperthermia, 1999, vol. 15. no. 6, 519--540 (1999).

  21. P. Deuflhard, R. Felix, P. Wust: Wärme für das Leben. Mathematische Hyperthermieplanung am virtuellen Krebspatienten. In: D. Hömberg (ed.), 8. Veranstaltungsreihe Forschungspolitische Dialoge in Berlin: Angewandte Mathematik - die verborgene Schlüsseltechnologie, 30. April 1999, Konrad-Zuse-Zentrum Berlin, pp. 23-29 (1999).

  22. P. Deuflhard, T. Friese, F. Schmidt: A Nonlinear Multigrid Eigenproblem Solver for the Complex Helmholz Equation. Konrad-Zuse-Zentrum Berlin, Preprint SC 97-55 (1997)

  23. P. Deuflhard: Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. Computational Mathematics Driven by Industrial Applications. Lecture Notes in Mathematics, Springer-Verlag (accepted).

  24. D. Braess, P. Deuflhard, K. Lipnikov: A Subspace Cascadic Multigrid Method for Mortar Elements. Preprint SC 99-07, Konrad-Zuse-Zentrum Berlin.

  25. P. Deuflhard, M. Weiser, M. Seebass: A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia. Comp.Vis. Sci. (accepted).

  26. P. Deuflhard, M. Seebass: Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia. In: Choi-Hong Lai, Peter E. Bjørstad, Mark Cross and Olof O. Widlund (eds.), Procs. Eleventh International Conference on Domain Decomposition Methods, Greenwich, July 20-24, 1998 (to appear 1999).

  27. T. Friese, P. Deuflhard, F. Schmidt: A Multigrid Method for the Complex Helmholtz Eigenvalue Problem. In: Choi-Hong Lai, Peter E. Bjørstad, Mark Cross and Olof O. Widlund (eds.), Procs. Eleventh International Conference on Domain Decomposition Methods (DD11), UK (1998), accepted.

  28. R. Beck, P. Deuflhard, R. Hiptmair, B. Wohlmuth, R.H.W. Hoppe: Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations. Surv. Math. Ind., vol. 8, pp. 271-312, Springer-Verlag (1999).

  29. P. Deuflhard, K. Lipnikov: Domain Decomposition with Subdomain CCG for Material Jump Elliptic Problems. In: East-West J. Numer. Math., Vol. 6, No. 2, pp. 81-100 (1998).

  30. P. Deuflhard, M.Weiser: Global Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems. In: W. Hackbusch, G. Wittum (eds.), Multigrid Methods, Lecture Notes in Computational Science and Engineering 3, Springer--Verlag, pp. 71-89 (1998).

  31. R. Beck, P. Deuflhard, H.-Ch. Hege, M. Seebass, D. Stalling: Numerical Algorithms and Visualization in Medical Treament Planning. Konrad-Zuse-Zentrum Berlin. In: H.C. Hege, K. Polthier (eds), Visualization and Mathematics, Springer-Verlag, pp. 303-328 (1997).

  32. R. Beck, H.-C. Hege, M. Seebass, P. Wust, P. Deuflhard, R. Felix, Adaptive finite element codes for numerical calculations in hyperthermia treatment planning, in C. Franconi, G. Arcangeli, R. Cavaliere (eds), Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996, Vol. 2, pp. 515-517 (1996).

  33. P. Deuflhard, T. Friese, F. Schmidt, R. März, H.-P. Nolting: Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips. In: K.-H. Hoffmann, W. Jäger, T. Lohmann, H. Schunk (eds.), Mathematik. Schlüsseltechnologie für die Zukunft, pp. 267-279, Springer (1996).

  34. F. Bornemann, P. Deuflhard: The Cascadic Multigrid Method for Elliptic Problems. Numer. Math. 75, Springer International, pp. 135-152 (1996).

  35. P. Deuflhard, M.Weiser: Local Inexact Newton Multilevel FEM for Nonlinear Elliptic Problems. In: M-O. Bristeau, G. Etgen, W. Fitzigibbon, J-L. Lion, J. Periaux, M. Wheeler (eds.): Computational Science for the 21st Century, Tours, France. Wiley-Interscience-Europe, pp.129-138 (1997).

  36. F. Bornemann, P. Deuflhard: Cascadic Multigrid Methods. In: R. Glowinski, J. Périaux, Z. Shi and O. Widlund (eds.), Domain Decomposition Methods in Sciences and Engineering, John Wiley & Sons Ltd. , pp. 205-212 (1996).

  37. P. Deuflhard, J. Lang, U. Nowak: Recent Progress in Dynamical Process Simulation. In: H. Neunzert (ed.), ``Topics in Industrial Mathematics'', Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), Wiley & Teubner Publishers, pp. 122-137 (1996).

  38. P. Deuflhard: Computational Mathematics as Key Technology. In: A. Sydow (ed.), ``Systems Analysis Modelling Simulation (SAMS)'', Proc. IMACS Symposium on Systems Analysis and Simulation, Berlin, 26-30 June 1995, Gordon and Breach Science Publishers SA, Vol. 18-19, pp. 19-26 (1995).

  39. P. Deuflhard: Cascadic Conjugate Gradient Methods for Elliptic Partial Differential Equations. Algorithm and Numerical Results. In: D.E. Keyes, J. Xu (eds.), Domain Decomposition Methods in Scientific and Engineering Computing. AMS, Providence, vol. 180, pp. 29-42 (1994).

  40. P. Deuflhard, P. Leinen, H. Yserentant: Concepts of an Adaptive Hierarchical Finite Element Code. IMPACT Comp. Sci. Eng. 1, pp. 3-35 (1989).