Recent/submitted reports Journal articles (technical reports downloadable here) - 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
- 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
- Leszek Marcinowski, Talal Rahman and Jan Valdman
A 3D Crouzeix-Raviart mortar finite element. Computing 86, No. 4, 313-330 (2009) -> file-link
- 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
- 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
- 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
- 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
- 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
- Andreas Hofinger, Jan Valdman,
Numerical solution of the two-yield elastoplastic minimization problem. Computing 81, No. 1, 35-52 (2007) -> file-link
- 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
- 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
- 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 - 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 Computation: Progress and Prospects, Texts and Monographs in Symbolic Computation, Wien: Springer,
45--63 (2011)
Conference proceedings-
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)
- 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
- 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
- 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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