MATHEON FU Berlin WAIS Berlin
 


C17 At a Glance
Description
Activities
Impressum/
Contact
C17 Activities

Publications
  1. Nonsmooth Schur-Newton methods for vector-valued Cahn-Hilliard equations
    Carsten Gräser, Ralf Kornhuber, Uli Sack
    Freie Universität Berlin, Fachbereich Matthematik und Informatik, Serie A Preprint #01 (2013) | Abstract | Article | BibTex
     
  2. An asymptotic analysis for a nonstandard Cahn--Hilliard system with viscosity
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels
    Discrete Contin. Dyn. Syst. Ser. S 6 (2), 2013, pp. 353 - 368 | Article | BibTex
     
  3. Time discretizations of anisotropic Allen-Cahn equations
    Carsten Gräser, Ralf Kornhuber, Uli Sack
    To appear in IMA Journal of Numerical Analysis (2012) | Abstract | Article | BibTex
     
  4. Polyhedral Gauss-Seidel Converges
    Carsten Gräser and Oliver Sander
    MATHEON Preprint #696 (2011) | Abstract | Article | BibTex
     
  5. Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekel
    SIAM J. Appl. Math. 71, 2011, pp. 1849--1870 | BibTex
     
  6. Distributed optimal control of a nonstandard system of phase field equations
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels
    To appear in Contin. Mech. Thermodyn. (2011) | BibTex
     
  7. A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
    P. Colli, P. Krejcí, E. Rocca, J. Sprekels
    J. Differential Equations 251, 2011, pp. 1354--1387 | BibTex
     
  8. Hierarchical error estimates for the energy functional in obstacle problems
    Q. Zou, A. Veeser, R. Kornhuber and C. Gräser
    Numerische Mathematik 117 (4), 2011, pp. 653-677 | Article | BibTex
     
  9. Efficient and Reliable Hierarchical Error Estimates for the Discretization Error of Elliptic Obstacle Problems
    Ralf Kornhuber, Qinsong Zou
    Mathematics of Computation 80, 2011, pp. 69-88. | Article | BibTex
     
  10. On Hierarchical Error Estimators for Time-discretized Phase Field Models
    Carsten Gräser, Ralf Kornhuber, Uli Sack
    In 'Proceedings of ENUMATH 2009 '
    Springer, 2010, pp. 397-406 | Abstract | Article | BibTex
     
  11. A note on parabolic equation with nonlinear dynamical boundary condition
    J. Sprekels, H. Wu
    Nonlinear Anal. 72, 2010, pp. 3028--3048 | Article | BibTex
     
  12. A temperature-dependent phase segregation problem of the Allen-Cahn type
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels
    Adv. Math. Sci. Appl. 20, 2010, pp. 219--234 | BibTex
     
  13. Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels
    Math. Models Methods Appl. Sci. 20, 2010, pp. 519--541 | BibTex
     
  14. Liquid-solid phase transitions in a deformable container
    P. Krejcí, E. Rocca, J. Sprekels
    In 'Continuous Media with Microstructure'
    Springer, Berlin/Heidelberg, 2010, pp. 285 - 300 | BibTex
     
  15. The dune-subgrid Module and Some Applications
    Carsten Gräser, Oliver Sander
    Computing 8 (4), 2009, pp. 269-290 | Abstract | Article | BibTex
     
  16. Multigrid Methods for Obstacle Problems
    Carsten Gräser, Ralf Kornhuber
    Journal of Computational Mathematics 27 (1), 2009, pp. 1-44 | Abstract | Article | BibTex
     
  17. Nonsmooth Newton methods for set-valued saddle point problems
    Carsten Gräser, Ralf Kornhuber
    SIAM J. Numer. Anal. 47 (2), 2009, pp. 1251-1273 | Abstract | Article | BibTex
     
  18. Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems
    Carsten Gräser, Uli Sack, Oliver Sander
    In 'Domain Decomposition Methods in Science and Engineering XVIII'
    LNCSE, Springer, 2009, pp. 129-136 | Abstract | Article | BibTex
     
  19. Global solution to a phase transition problem of the Allen-Cahn type
    P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels
    In 'Nonlinear Evolution Equations and Mathematical Modeling - Proceedings of the RIMS Symposium'
    Surikaisekikenkyusho Kokyuroku 1693, , 2009, pp. 104 - 110 | BibTex
     
  20. A bottle in a freezer
    P. Krejcí, E. Rocca, J. Sprekels
    SIAM J. Math. Anal. 41, 2009, pp. 1851--1873 | BibTex
     
  21. Nonlinear Phenomena with Energy Dissipation: Mathematical Analysis, Modeling and Simulation
    Eds.: P. Colli, A. Damlamian, N. Kenmochi, M. Mimura, J. Sprekels
    Gakuto International Series Mathematical Sciences and Applications 29, Gakko-tosho (2008) | BibTex
     
  22. Globalization of Nonsmooth Newton Methods for Optimal Control Problems
    Carsten Gräser
    In 'Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007'
    Springer, 2008, pp. 605-612 | Article | BibTex
     
    @InProceedings{graeser:2008,
  author =		{Carsten Gr\"aser},
  title =		{Globalization of Nonsmooth Newton Methods for Optimal Control Problems},
  booktitle =		{Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007},
  editor =		{Karl Kunisch and G\"unther Of and Olaf Steinbach},
  publisher =		{Springer},
  year =		{2008},
  pages =		{605-612},

}
  23. Small strain oscillations of an elastoplastic Kirchhoff plate
    Ronald Guenther, Pavel Krejcí, Jürgen Sprekels
    ZAMM 88, 2008, pp. 199-217 | Article | BibTex
     
  24. On preconditioned Uzawa-type iterations for a saddle point problem with inequality constraints
    C. Gräser, R. Kornhuber
    In 'Domain Decomposition Methods in Science and Engineering XVI'
    LNCSE 55, Springer, 2007, pp. 91-102 | Abstract | Article | BibTex
     
  25. Optimal boundary control of a phase field system modeling nonisothermal phase transitions
    C. Lefter, J. Sprekels
    Adv. Math. Sci. Appl. 17, 2007, pp. 181-194 | Article | BibTex
     
  26. Nonlinear evolution inclusions arising from phase change models
    P. Colli, P. Krejci, E. Rocca, j. Sprekels
    Czechoslowak Mathematical Journal 57 (4), 2007, pp. 1067-1098 | Article | BibTex
     
  27. A nonlocal phase-field model with nonconstant specific heat
    P. Krejci, E. Rocca, J. Sprekels
    Interfaces and Free Boundaries 9, 2007, pp. 285-306 | Article | BibTex
     
  28. Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions
    P. Krejci, E. Rocca, J. Sprekels
    J. London Math. Soc. 76 (1), 2007, pp. 197-210 | Article | BibTex
     
  29. Dissipative Phase Transitions
    P. Colli, K. Noboyuki, J. Sprekels
    Advances in Mathematics for Applied Sciences 71, World Scientific Publishers, Singapore (2006) | Article | BibTex
     
  30. Long-time behaviour of a singular phase transition model
    P. Krejcí, J. Sprekels
    Disc. Cont. Dyn. Syst. 15 (4), 2006, pp. 1119–1135 | Article | BibTex
     
  31. Robust Multigrid Methods for Vector-Valued Allen-Cahn Equations with Logarithmic Potential
    Ralf Kornhuber, Rolf Krause
    Computing and Visualization in Science 9, 2006, pp. 103-116 | Abstract | Article | BibTex
     

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Talks

Invited

  1. Jürgen Sprekels: Phase field models and hysteresis operators, 2011-12-16, Workshop "Trends in Thermodynamics and Materials Theory", Technische Universität Berlin
  2. Jürgen Sprekels: Well-posedness, asymptotic behavior and optimal control of a nonstandard phase field model for diffusive phase segregation, 2011-11-30, Workshop "Optimal Control of Partial Differential Equations", Klaffenbach
  3. Uli Sack: Numerical Simulation of Coarsening in Binary Alloys, 2011-09-23, International Workshop on Phase Separation, Damage and Fracture, WIAS, Berlin
  4. Jürgen Sprekels: A nonstandard phase field system of Cahn-Hilliard type for diffusive phase transitions, 2011-09-21, Seminario Matematico e Fisico di Milano, Universität Mailand
  5. Jürgen Sprekels: A nonstandard phase field system of Cahn-Hilliard type for diffusive phase transitions, 2011-07-14, , Universität Konstanz
  6. Ralf Kornhuber: Efficient simulation of the demixing of solder alloys, 2009-06-23, SFB 611 Seminar, IAM, University Bonn, Germany Abstract  
  7. Ralf Kornhuber: Towards Efficient and Reliable Simulation of Solder Alloys, 2009-05-20, Institutional Colloquium, University of Warwick, Warwick
  8. Uli Sack: Numerical Simulation of Binary Alloys, 2008-11-17, WIAS, Berlin
  9. Ralf Kornhuber: Multigrid and Phase Field Models, 2008-10-23, Workshop on, Weierstrass Institute of Applied Analysis and Stochastics, Berlin Abstract  
  10. Jürgen Sprekels: Oscillating elastoplastic bodies: Dimensional reduction, hysteresis operators, existence results, 2008-09-22, Direct, Inverse and Control Problems for PDE's (DICOP 08), Cortona, Italy
  11. Ralf Kornhuber: Constrained Optimization and Multigrid, 2008-03-29, Workshop on PDE-constrained Optimization, Universität Hamburg
  12. Ralf Kornhuber: On the efficient and reliable simulation of solder alloys, 2007-11-26, International conference on free boundary problems, Chiba, Japan
  13. Jürgen Sprekels: How computers and modern mathematics change our world, 2007-10-08, Fourth Annual Meeting of the Science and Technology in Society (STS) Forum 2007, Kyoto, Japan
  14. Jürgen Sprekels: Models of phase transitions and hysteresis operators, 2007-06-21, Joint DMV-UMI Conference, Perugia, Italy
  15. Jürgen Sprekels: Elastic-ideally plastic beams and 1D Prandtl--Ishlinskii hysteresis operators, 2007-06-07, Oberwolfach-Workshop on Phase Transitions, Oberwolfach
  16. Jürgen Sprekels: On the asymptotic behaviour of the stop hysteresis operator, 2006-09-20, Workshop "Evolution Equations: Direct and Inverse Problems", Università di Bologna, Italy
  17. Jürgen Sprekels: The von Mises model for one-dimensional elastoplastic beams and Prandtl--Ishlinskii hysteresis operators, 2006-09-16, INdAM-Workshop "Recent Advances in Free Boundary Problems and Related Topics", Levico Terme, Italy
  18. Ralf Kornhuber: A preconditioned Uzawa-type iteration for discretized Cahn-Hilliard equations, 2006-07-27, Seminar on Multilevel Adaptive Methods, Peking University, China
  19. Jürgen Sprekels: Prandtl--Ishlinskii hysteresis operators and 1D elastoplasticity, 2006-06-26, AIMS 6th International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France
  20. Jürgen Sprekels: Asymptotics of the stop hysteresis operator, 2006-06-21, Oberwolfach-Workshop on ''Applications of Asymptotic Analysis'', Oberwolfach
  21. Jürgen Sprekels: The control variational method, 2006-05-16, Università degli Studi di Pavia, Italy
  22. Jürgen Sprekels: The control variational method, 2006-05-09, Università degli Studi di Milano, Italy
  23. Jürgen Sprekels: Phase field models for phase transitions and applications, 2006-04-28, 6 lectures minicourse, Università di Roma "La Sapienza", Italy
  24. Jürgen Sprekels: The control variational method, 2006-04-21, Università degli Studi di Firenze, Italy
  25. Ralf Kornhuber: Nonsmooth Newton methods for the Cahn-Hilliard equation with obstacle potential, 2006-02-02, Humboldt Universität Berlin
  26. Ralf Kornhuber: Nonsmooth Newton methods for the Cahn-Hilliard equation with obstacle potential, 2005-12-02, Workshop on Dynamics of Phase Transitions, WIAS Berlin

Contributed

  1. Uli Sack: Numerical Simulation of Binary Alloys, 2009-03-29, Conference on "Optimization with interfaces and free boundaries", Universität Regensburg
  2. Carsten Gräser: Multigrid Methods for Phase Field Models, 2008-03-17, MATHEON-ICM Workshop, WIAS, Berlin Slides
  3. Carsten Gräser: Global Convergence of Nonsmooth Newton Methods for Constrained Minimization, 2008-01-14, 18th International Conference on Domain Decomposition Methods, Jerusalem, Israel Slides
  4. Carsten Gräser: Nonsmooth Newton Methods for Set-Valued Saddle Point Problems, 2007-09-11, ENUMATH 2007, Graz, Austria Slides
  5. Uli Sack: Adaptive Multigrid Methods for Anisotropic Allen-Cahn Equations, 2007-09-10, ENUMATH 2007, Graz, Austria Abstract | Slides 
  6. Carsten Gräser: Nonsmooth Newton methods for set-valued saddle point problems, 2006-07-06, 17th International Conference on Domain Decomposition Methods, Strobl, Austria Slides
  7. Carsten Gräser: On preconditioned Uzawa-type iterations for the Cahn-Hilliard equation with obstacle potential, 2005-09-29, 8th European Multigrid conference, TU Delft, Scheveningen The Hague, The Netherlands Slides

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Public Impact

Public Talks

  1. Uli Sack: MATHEON-Schülerworkshop: Divide and Conquer, 2008-09-18, DMV-Tagung 2008, Erlangen
  2. Uli Sack: Zuverlässige Herzschrittmacher und umweltfreundlichere Spielkonsolen - wozu man Mathematik brauchen kann, 2008-04-26, Tag der Mathematik 2008, Freie Universität Berlin Abstract  
  3. Uli Sack: Zuverlässige Herzschrittmacher und umweltfreundlichere Spielkonsolen - wozu man Mathematik brauchen kann, 2007-06-12, MATHEredaktiON, Freie Universität Berlin Abstract  
  4. Jürgen Sprekels: Handys, Lote und Kristalle, 2006-11-06, Fest der Mathematik, TU Berlin

Other public appearance

  1. contributed problem to the MATHEON-calendar 2009 (Problem 4).
  2. contributed picture to the DFG-Math-Calendar 2010. (November)
Other
  1. Organization of Minisymposium on Adaptivity for Nonlinear and Nonsmooth Problems at the ENUMATH 2009 (Ralf Kornhuber a.o.), 29/06-03/07/2009, Uppsala, Sweden
  2. Organization of MATHEON-Workshop on Data Structures for Finite Element and Finite Volume Computations (Ralf Kornhuber, Oliver Sander), 29/2/2008, Freie Universität Berlin
  3. Organization of Minisymposium on PDE-constrained Optimization at the 18th Conference in Domain Decomposition (Ralf Kornhuber a.o.), Jerusalem, January 2008
  4. Head of scientific committee of the 18th Conference in Domain Decomposition (Ralf Kornhuber), January 2008, Jerusalem
  5. Member of organizing committee of the Intenational Conference on Free Boundary Problems (Jürgen Sprekels), 26/11-1/12/2007, Chiba, Japan
  6. Member of the official German delegatin to the Fourth Annual Meeting of the Science and Technology in Society Forum 2007 (Jürgen Sprekels), 07-09/10/2007, Kyoto, Japan
  7. Organization of special session (Jürgen Sprekels), 18-22/06/2007, Perugia, Italy
  8. Member of the International Steering Committee of the 6th Intenational Symposium on Hysteresis Modeling and Micromagnetics (Jürgen Sprekels), 04-06/06/2007, Neapel, Italy
  9. Organization of Workshop on Multiscale Problems in Three Applications (Jürgen Sprekels a.o.), 29/5-01/06/2007, WIAS, Berlin
  10. Member of scientific committee of the AIMS 6th International Conference on Synamical Systems, Differential Equations and Applications (Jürgen Sprekels), 26-28/06/2006