Former Member

Dr. Satyendra Tomar

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Peer Reviewed Journal Publication
  • K.P.S. Gahalaut, S.K. Tomar and J.K. Kraus (2013, online: 2013) Algebraic Multilevel Preconditioning in Isogeometric Analysis: Construction and Numerical Studies. Computer Methods in Applied Mechanics and Engineering, Bd. 266, S. 40-56. (link)
  • Tomar, S.K. (2013, online: 2013) Robust Algebraic Multilevel Preconditioning in H(curl) and H(div). Computers and Mathematics with Applications, Bd. 66 (6), S. 1024-1046. (link)
  • Gahalaut, K.; Kraus, J.; Tomar, S.K. (2012) Multigrid methods for isogeometric discretization. Computer Methods in Applied Mechanics and Engineering, Bd. 253 (413-425), S. 13.
  • Kleiss, S.; Pechstein, C.; Jüttler, B.; Tomar, S. (2012) IETI - Isogeometric Tearing and Interconnecting. Computer Methods in Applied Mechanics and Engineering, Bd. 247-248, S. 201-215. (link)
  • J.K. Kraus, S.K. Tomar (2011) Algebraic multilevel iteration method for lowest-order Raviart-Thomas space and applications. International Journal of Numerical Methods in Engineering, Bd. 86, S. 1175–1196 . (link)
  • S.I. Repin, S.K. Tomar (2010) A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems. Journal of Mathematical Sciences. (link)
  • S.I. Repin, S.K. Tomar (2010) Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. IMA Journal of Numerical Analysis. (link)
  • Raytcho Lazarov, Sergey Repin, Satyendra K. Tomar (2008) Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Numerical Methods for Partial Differential Equations, Bd. Published online, S. 20 . (link)
  • S.K. Tomar, S.I. Repin (2008) Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Journal of Computational and Applied Mathematics, Bd. Published online, S. 12 . (link)
  • J.K. Kraus, S.K. Tomar (2008) A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems. Numer. Linear Algebra Appl., Bd. 15, S. 417-438. (link)
  • J.K. Kraus, S.K. Tomar (2008) Multilevel preconditioning of two-dimensional elliptic problems discretized by a class of discontinuous Galerkin methods. SIAM J. Sci. Comput., Bd. 30 (2), S. 684-706. (link)
  • S.K. Tomar, J.J.W. vanderVegt (2007) A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery. Computer Methods in Applied Mechanics and Engineering, Bd. 196(13-16), S. 1984-1996. (link)
  • Tomar, S.K. (2006) h-p Spectral Element Method for Elliptic Problems on Non-smooth Domains Using Parallel Computers. Computing, Bd. 78(2), S. 117-143. (link)
  • J.J.W. vanderVegt, S.K. Tomar (2005) Discontinuous Galerkin method for linear free-surface gravity waves. Journal of Scientific Computing, Bd. 22-23(1-3), S. 531-567. (link)
  • Kleiss, Stefan K.; Tomar, Satyendra K. (online: 2015) Guaranteed and sharp a posteriori error estimates in isogeometric analysis. Computers & Mathematics with Applications, Bd. 70 (3), S. 167-190 <'http://www.sciencedirect.com/science/article/pii/S0898122115001807'>.

Conference Contribution: Publication in Proceedings
  • Kraus, J.; Tomar, S. (2008) A multilevel method for discontinuous Galerkin approximation of three-dimensional elliptic problems. In: Langer, U.; Discacciati, M.; Keyes, D.; Widlund, O.; Zulehner, W. (Hrsg.), Domain Decomposition Methods in Science and Engineering XVII (17th International Conference on Domain Decomposition Methods, St. Wolfgang/Strobl, Austria) In Reihe: Lecture Notes in Computational Science and Engineering, vol. 60; Heidelberg: Springer, S. 155-164.

Research Report
  • Tomar, S.K. Kleiss and S.K. (2013) Guaranteed and Sharp A Posteriori Error Estimates in Isogeometric Analysis. Bericht-Nr. 2013-06; U. Langer (RICAM): Linz. (link)
  • Tomar, S.K. (2013) Algebraic multilevel preconditioning in three-dimensional H(div) space. Bericht-Nr. 2013-04; U. Langer (RICAM):. (link)
  • Tomar, S.K. (2012) Algebraic multilevel preconditioning in H(curl). Bericht-Nr. 2012-27; U. Langer (RICAM):. (link)
  • Gahalaut, K.; Tomar, S. (2012, online: 2012) Condition number estimates for matrices arising in the isogeometric discretizations. Bericht-Nr. RICAM Report 2012-23; RICAM: Linz. (link)
  • Gahalaut, K.; Tomar, S. (2012, online: 2012) Condition number study of graph theory based preconditioners for isogeometric discretization of Poisson equation. Bericht-Nr. RICAM Report 2012-14; Linz. (link)
  • Gahalaut, K.; Kraus, J.; Tomar, S. (2012, online: 2012) Multigrid Methods for Isogeometric Discretization. Bericht-Nr. RICAM Report 2012-08; Linz. (link)
  • Kleiss, S.; Pechstein, C.; Jüttler, B.; Tomar, S. (2012, online: 2012) IETI - Isogeometric Tearing and Interconnecting. Bericht-Nr. 2012-01; RICAM: Linz, Austria. (link)
  • J.K. Kraus, S.K. Tomar (2008) Multilevel preconditioning in H(div) and applications to a posteriori error estimates for discontinuous Galerkin approximations. Linz. (link)
  • S. Tomar, S. Repin (2007) Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems. Bericht-Nr. 2007-39; RICAM, Austrian Academy of Sciences:. (link)
  • S. Repin, S. Tomar (2007) A posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of the error. Bericht-Nr. 2007-41; RICAM, Austrian Academy of Sciences:. (link)
  • J.K. Kraus, S.K. Tomar (2006) Multilevel preconditioning of elliptic problems discretized by a class of discontinuous Galerkin methods. Bericht-Nr. 2006-36; RICAM: Linz. (link)
  • R.D. Lazarov, S. Repin, S.K. Tomar (2006) Functional A Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems. Bericht-Nr. 40; RICAM, Austrian Academy of Sciences:. (link)
  • J.K. Kraus, S.K. Tomar (2006) A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems. Bericht-Nr. 39; RICAM, Austrian Academy of Sciences:. (link)
  • S.K. Tomar, J.J.W. vanderVegt (2006) A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery. Bericht-Nr. 7; RICAM:. (link)
  • S.K. Tomar, P. Dutt (2005) Parallel h-p spectral element method for elliptic problems on non-smooth domains. Bericht-Nr. 4; RICAM:. (link)