Publications

PUBLICATIONS IN PEER-REVIEWED JOURNALS

  • B. Ayuso, I. Georgiev, J. Kraus, L. Zikatanov: A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. Math. Model. Numer. Anal. (in press).
  • J. Brannick, Y. Chen, J. Kraus, L. Zikatanov: Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs. SIAM J. Numer. Anal. (in press).
  • J. Kraus, M. Lymbery, and S. Margenov: Robust multilevel methods for quadratic finite element anisotropic elliptic problems. Numer. Lin. Alg. Appl. (in press).
  • K. Gahalaut, J. Kraus, and S. Tomar: Multigrid methods for isogeometric discretization. Computer Methods in Applied Mechanics and Engineering, 253, 413-425, 2013.
  • J. Kraus, P. Vassilevski, and L. Zikatanov: Polynomial of best uniform approximation to 1/x and smoothing in two-level methods. Computational Methods in Applied Mathematics, Special issue devoted to Sergey Nepomnyaschikh, 12(4), 448-468, 2012.
  • P. Boyanova, I. Georgiev, S. Margenov, L. Zikatanov: Multilevel Preconditioning of Graph Laplacians: Polynomial Approximation of the Pivot Blocks Inverses, Mathematics and Computers in Simulation, 82, 1964-1971, 2012
  • J. Kraus: Additive Schur complement approximation and application to multilevel preconditioning. SIAM J. Sci. Comput. 34(6), A2872-A2895, 2012
  • J. Kraus and S. Tomar: Algebraic multilevel iteration method for lowest-order Raviart-Thomas space and applications. Int. J. Numer. Meth. Engng. 86, 1175-1196, 2011.

REFEREED PUBLICATIONS IN CONFERENCE PROCEEDINGS

  • E. Karer, J. Kraus, L. Zikatanov: A subspace correction method for nearly singular linear elasticity problems. In Proceedings of the 20th International Conference on Domain Decomposition Methods, UC San Diego, La Jolla, California, Lecture Notes in Computational Science and Engineering, Springer (to appear).
  • I. Georgiev, J. Kraus, Preconditioning of elasticity Problems with discontinuous Material Parameters, In Numerical Mathematics and Advanced Applications 2011, A. Cangiani et al. (eds.), Springer, 2013 (to appear)
  • J. Kraus, M. Lymbery, S. Margenov: Semi-coarsening AMLI preconditioning of higher order elliptic problems, Applications of Mathematics in Technical and Natural Sciences, M. Todorov edt., AIP Conference Proceedings, 1487, 30-41, 2012
  • J. Kraus: Additive Schur complement approximation for elliptic problems with oscillatory coefficients. In Large-Scale Scientific Computing, I. Lirkov, S. Margenov, and J. Wasniewski, eds., Lecture Notes in Computer Science, 7116, Springer, 52-59, 2012.
  • J. Kraus, M. Lymbery, S. Margenov: On the robustness of two-level preconditioners for quadratic FE orthotropic elliptic problems. In Large-Scale Scientific Computing, I. Lirkov, S. Margenov, and J. Wasniewski, eds., Lecture Notes in Computer Science, 7116, Springer, 582-589, 2012.
  • I. Georgiev, M. Lymbery, and S. Margenov, Analysis of the CBS constant for quadratic finite elements. In Numerical Methods and Applications, N. Kolkovska, I. Dimov, S. Dimova eds., Lecture Notes in Computer Science, 6046, Springer, 412-419, 2011.
  • B. Ayuso, I. Georgiev, J. Kraus, and L. Zikatanov: A simple preconditioner for the SIPG for discretizations of linear elasticity equations. In Numerical Methods and Applications, N. Kolkovska, I. Dimov, S. Dimova eds., Lecture Notes in Computer Science, 6046, Springer, 353-360, 2011.
  • I. Georgiev, J. Kraus, S. Margenov, Two-level Preconditioning for DG Discretizations of Scalar Elliptic Problems with Discontinuous Coefficients, Applications of Mathematics in Technical and Natural Sciences, AMiTaNS 2011, C. Christov, M. Todorov eds. AIP Conference Proceedings, 1404, 389-396, 2011.