KUN


Internal reports

  • 1 O. Axelsson, On iterative solvers in structural mechanics; separate displacemet orderings. Report 9721, Department of Mathematics, University of Nijmegen, The Netherlands.
  • 2 O. Axelsso nand I. Kaporin, Least squares finite element methods for systems of nonlinear partial differential equations of first order: A posteriori error estimates, Rep. 9612, Dept. Math. KUN Nijmegen, March 1996
  • 3 M. Neytcheva, A. Padiy, M. Mellaard, K. Georgiev and O. Axelsson, Scalable and optimal iterative solvers for linear and nonlinear problems. Report 9613, April 1996, Department of Mathematics, University of Nijmegen, The Netherlands.
  • 4 A. Georgiev, S. Margenov, M. Neytcheva, Multilevel Algorithms for 3D Simulation of Nonlinear Elasticity Problems, manuscript in progress.
  • 5 Magolu Monga Made and Ben Polman, Theoretical comparison of pointwise, linewise and planewise preconditioners for solving three-dimensional problems. Report No. 9609, Department of Mathematics, University of Nijmegen, The Netherlands.
  • 6 Magolu Monga Made and Ben Polman, Efficient planewise-like preconditioners to cope with 3D problems. Report No. 978, Department of Mathematics, University of Utrecht, The Netherlands.
  • 7 M. Neytcheva and B. Polman, HIPERGEOS benchmark results for the 3D linear elasticity problems, Tech. Rep., University of Nijmegen, 1997.
  • 8 M. Neytcheva, B. Polman, A. Padiy, More numerical experiments on linear and nonlinear elasticity problems. Presentation at the HIPERGEOS Workshop, Prague January 15 - 17, 1998.
  • 9 A. Padiy, On a robust multilevel method applied for solving large-scale linear elasticity problems, KUN Report 9806, February 1998.
  • 10 A. Padiy, On a parallel multilevel solver for linear elasticity problems. Tech. Rep., University of Nijmegen, 1997.

    Published papers

  • 11 O. Axelsson, The stabilized V-cycle method, J.Comp.Appl.Math., 74 (1995), 149-178.
  • 12 O. Axelsson, On Newton type continuation methods, Japan J. Industrial and Applied Mathematics (JJIAM), to appear.
  • 13 O. Axelsson, On Newton type solvers for nonlinear boundary value problems. In Z.Rakowski (ed.) Proceedings of the International Conference Geomechanics'96, Roznov p.R., September 3-6, 1996, Czech Republic (A.A.Balkema, Rotterdam, 1997), 141-145.
  • 14 O. Axelsson, Stabilization of AMLI methods. In Proceedings of the Conference on Algebraic Multilevel Iteration Methods with Applications, University of Nijmegen, June 13-15, 1997, 49-62.
  • 15 O. Axelsson, On iterative solvers in Structural Mechanics. In Proceedings of the Conference on Preconditioned Iterative Solution Methods for Large Scale Problems in Scientific Computations (PRISM'97), University of Nijmegen, May 27-29, 1997, 55-62.
  • 16 O. Axelsson and R. Blaheta, Convergence of Inexact Newton-like iterations in incremental finite element analysis of elasto-plastic problems, Math.Appl.Mech.Eng., 121 (1997), 281-295.
  • 17 O. Axelsson, R. Blaheta and R. Kohut, Inexact Newton solvers in Plasticity, Theory and experiments, Numer.Lin.Alg.Appl, 4 (1997), 133-152.
  • 18 O. Axelsson and Y. Hakopian, Algebraic multilevel preconditioners for perturbed finite element matrices, East-West Journal of Numerical Mathematics, 5 (1997), 1-22.
  • 19 O. Axelsson, I. Kaporin, A survey of Newton-type methods for solving nonlinear boundary value problems. In E.A. Lipitakis (ed.), HERMIS'96, LEA, Athens, 1996, 108-123.
  • 20 O. Axelsson and I. Kaporin, A least squares finite element method for nonlinear boundary value problems and adaptive refinement methods. Presented at the ENUMATH'97 conference, Heidelberg, 29.9-3.10, 1997, to appear.
  • 22 O. Axelsson and M. Larin, An algebraic multilevel iteration method for finite element matrices, J.Comp.Appl.Math., 89 (1998), 135-153.
  • 23 O. Axelsson and Hao Lu, A survey of some estimates and condition numbers for certain preconditioned matrices. J. Comp. Appl. Math., 80(1997), 241-264.
  • 23 O. Axelsson and M. Neytcheva, Some Basic Facts for Efficient Massively Parallel Computation. CWI Quarterly, Vol 9, March/June 1996, 9-17.
  • 24 O. Axelsson and A. Padiy, On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems, Technical report No 9711, University of Nijmegen, 1997, to appear in SIAM J. Sci. Comp.
  • 25 O. Axelsson and A. Padiy, On a robust and scalable Linear Elasticity solver based on a saddle point formulation, Int. J. Numer. Methods in Engineering, 1998, to appear.
  • 25 A. Padiy, Multilevel iterative method for anisotropic elliptic problems. In Proceedings of the Conference on Preconditioned Iterative Solution Methods for Large Scale Problems in Scientific Computations (PRISM'97), University of Nijmegen, May 27-29, 1997, 145-169.
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