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Photo of Pratik Kumbhar

Ph.D. Pratik Kumbhar

  • Englerstr. 2
    76131 Karlsruhe

Research interests

  • domain decomposition methods
  • time integration of PDEs
  • time parallel methods
  • iterative solvers
  • application of waveform relaxation methods to electric circuits

Preprints

  1. M. Hochbruck, J. Köhler, P. M. Kumbhar, Preconditioned implicit time integration schemes for Maxwell’s equations on locally refined grids, Preprint (2022).

Publications

  1. F. Chaouqui, M. J. Gander, P. M. Kumbhar, T. Vanzan, Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning, Numerical Algorithms (2022).
  2. F. Chaouqui, M. J. Gander, P. M. Kumbhar, T. Vanzan, On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method , In Domain Decomposition Methods in Science and Engineering XXVI, (2021).
  3. M. J. Gander, P. M. Kumbhar, A. E. Ruehli, Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits , Journal of Scientific Computing, 84, Article number: 24 (2020). Preprint
  4. M. J. Gander, P. M. Kumbhar, A. E. Ruehli, Asymptotic Analysis for Different Partitionings of RLC Transmission Lines, in Domain Decomposition Methods in Science and Engineering XXV, pp: 251--259, (2018). Preprint
  5. M. J. Gander, P. M. Kumbhar, A. E. Ruehli, Analysis of Overlap in Waveform Relaxation Methods for RC Circuits, in Domain Decomposition Methods in Science and Engineering XXIV, pp: 281--289, (2018). Preprint
  6. N. Ploymaklam, P. M. Kumbhar, A. K. Pani : A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system, Int. J. Numer. Anal. Model, 14, pp. 784-807, (2017), Preprint

Thesis

P. M. Kumbhar: Asymptotic analysis of optimized waveform relaxation methods for RC circuits and RLCG transmission lines.
Doctoral Thesis, University of Geneva (UNIGE), Switzerland, January 2020.