The list of publications of Jan Valdman

(see citations in  Zentralblatt MATH, MathSciNet, ISI Web of Knowledge,
         Scientific CommonsGoogle Scholar, Scopus, Microsoft Academic Search)   

 Theses
  1. Habilitation thesis:
    On Modeling and A Posteriori Error Estimates for some Convex Problems in Continuum Mechanics.
    TU Ostrava, Czech Republic, 2010 submitted, 2011 defended 

  2. PhD thesis (under the guidance of Carsten Carstensen and Martin Brokate):
    Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation.
    CAU Kiel, Germany, 2001 submitted, 2002 defended and published at dissertation.de (ISBN 3-89825-501-8) ->file-link

  3. MSc thesis (under the guidance of Henk A. van der Vorst):
    Upperbounds for the GMRES residuals for some CFD - related problems.
    University Utrecht, the Netherlands, 1997

Recent/submitted reports
  1. Pekka Neittaanmäki, Sergey Repin, Jan Valdman
    Functional a posteriori error estimates of elasticity problems with nonlinear boundary conditions
    technical report 13-2011 of the Max Planck Institute for Mathematics in the Sciences (MIS), Leipzig

  2. M. Cermak, T. Kozubek, S. Sysala, J. Valdman
    A TFETI Domain Decomposition Solver for Elastoplastic Problems
    arXiv:1205.1926, 2012
Journal articles (technical reports downloadable here)
  1. Talal Rahman, Jan Valdman,
    Fast MATLAB assembly of FEM  matrices in 2D and 3D: nodal elements.
    Appl. Math. Comput. (2011), doi:10.1016/j.amc.2011.08.043 -> file-link 

  2. Jan Martin Nordbotten, Talal Rahman, Sergey Repin, Jan Valdman, 
    A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. 

    Computational Methods in Applied Mathematics 10, No. 3, 302-315 (2010) -> file-link

  3. Leszek Marcinowski, Talal Rahman and Jan Valdman
    A 3D Crouzeix-Raviart mortar finite element.
    Computing 86, No. 4, 313-330 (2009)  -> file-link

  4. Sergey Repin, Jan Valdman, 
    Functional a posteriori error estimates for incremental models in elasto-plasticity
    Cent. Eur. J. Math. 7, No. 3, 506-519 (2009) -> file-link

  5. Jan Valdman, 
    Minimization of Functional Majorant in A Posteriori Error Analysis based on H(div) Multigrid-Preconditioned CG Method. 
    Advances in Numerical Analysis, vol. 2009, Article ID 164519 (2009) -> file-link

  6. Peter Gruber, Jan Valdman, 
    Solution of one-time-step problems in elastoplasticity by a Slant Newton Method
    SIAM J. Scientific Computing 31, No. 2, 1558-1580 (2009)  -> file-link

  7. Sergey Repin, Jan Valdman, 
    Functional a posteriori error estimates for problems with nonlinear boundary conditions. 
    Journal of Numerical Mathematics 16, No. 1, 51-81 (2008)  -> file-link

  8. Peter Gruber, Jan Valdman,
    Implementation of an elastoplastic solver based on the Moreau-Yosida theorem
    Mathematics and Computers in Simulation 76, No. 1-3, 73-81  (2007-> file-link

  9. Andreas Hofinger, Jan Valdman, 
    Numerical solution of the two-yield elastoplastic minimization problem.
    Computing 81, No. 1, 35-52 (2007) -> file-link

  10. Antonio Orlando, Carsten Carstensen, Jan Valdman, 
    A convergent adaptive finite element method for the primal problem of elastoplasticity.
    International Journal for Numerical Methods in Engineering 67, No. 13, 1851-1887 ( 2006) -> file-link

  11. Carsten Carstensen, Martin Brokate, Jan Valdman, 
    A quasi-static boundary value problem in multi-surface elastoplasticity. II: Numerical solution. 
    Math. Methods Appl. Sci. 28, No.8, 881-901 (2005) -> file-link

  12. Carsten Carstensen, Martin Brokate, Jan Valdman, 
    A quasi-static boundary value problem in multi-surface elastoplasticity. I: Analysis. 
    Math. Methods Appl. Sci. 27, No.14, 1697-1710 (2004) -> file-link

Chapters in books
  1. Peter Gruber, Johanna Kienesberger, Ulrich Langer, Joachim Schoeberl, Jan Valdman,
    Fast solvers and a posteriori error estimates in elastoplasticity,
    U. Langer and P. Paule (editors), 
    Numerical and Symbolic Scientific ComputationProgress and Prospects,
    Texts and Monographs in Symbolic Computation, Wien: Springer,  45--63 (2011)

Conference proceedings
  1. Peter Gruber, Jan Valdman,
    Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence,
    Kunisch, K. (ed.) et al., Numerical mathematics and advanced applications.
    Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications,
    Graz, Austria, September 10-14, 2007. Berlin: Springer. 795-803 (2008

  2. Johanna Kienesberger, Jan Valdman,
    An efficient solution algorithm for elastoplasticity and its first implementation towards uniform h- and p- mesh refinements
    de Castro, A. (ed.) et al., Numerical mathematics and advanced applications.
    Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications,
    Santiago de Compostela, Spain, July 18-22, 2005. Berlin: Springer. 1117-1125 (2006) -> pdf-file

  3. Johanna Kienesberger, Ulrich Langer, Jan Valdman,
    On a robust multigrid-preconditioned solver for incremental plasticity problems
    Proceedings of IMET 2004 - Iterative Methods, Preconditioning & Numerical PDEs, Prague -> pdf-file

  4. Johanna Kienesberger, Jan Valdman,
    Multi-yield elastoplastic continuum-modeling and computations,
    Feistauer, M. (ed.) et al., Numerical mathematics and advanced applications.
    Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications,
    Prague, Czech Republic, August 18-22, 2003. Berlin: Springer. 539-548 (2004) ->
    pdf-file

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