- MSc thesis (under the guidance of Henk A. van der Vorst):
Upperbounds for the GMRES residuals for some CFD - related problems, Utrecht, the Netherlands, 1996
-> pdf-file
- PhD thesis (under the guidance of
Carsten Carstensen
and
Martin Brokate
):
Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation,
Kiel, Germany, 2001 submitted,
2002 published at dissertation.de (ISBN 3-89825-501-8), -> pdf-file,
upgraded version, in colour -> pdf-file
Journal publications
-
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)
-> pdf-file
-
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) -> pdf-file
-
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) -> pdf-file
- Andreas Hofinger,
Jan Valdman,
Numerical solution of the two-yield elastoplastic minimization problem. Computing 81, No. 1, 35-52 (2007) -> pdf-file
- 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) -> pdf-file
- Sergei Repin,
Jan Valdman,
Functional a posteriori error estimates for problems with nonlinear boundary conditions.
Journal of Numerical Mathematics 16, No. 1, 51-81 (2008) -> pdf-file
- 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) -> pdf-file
-
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) -> pdf-file
- Sergei Repin,
Jan Valdman,
Functional a posteriori error estimates for incremental models in elasto-plasticity. Cent. Eur. J. Math. 7, No. 3, 506-519 (2009) -> pdf-file
-
Leszek Marcinkowski, Talal Rahman and Jan Valdman,
A 3D Crouzeix-Raviart mortar finite element. Computing 86, No. 4, 313-330 (2009) -> pdf-file
- Jan Nordbotten, Talal Rahman, Sergei Repin,
Jan Valdman,
Functional a posteriori error estimates for Biot-Barrenblat model in porous media (in progress)
Conference proceedings-
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
- Johanna Kienesberger,
Ulrich Langer,
Jan Valdman,
On a robust multigrid-preconditioned solver for incremental plasticity problems
Proceedings of IMET 2004 - Iterative Methods, Precondtioning & Numerical PDEs, Prague -> pdf-file
-
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
- 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)
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