Dr. Abhinav Jha


Applied and Computational Mathematics (ACoM)
RWTH Aachen University
Schinkelstr. 2
D-52062 Aachen
Germany

Room: 216a (Rogowski building, 3rd floor)
Phone: +49 (0)241 80 - 98675
Email: jha@acom.rwth-aachen.de

Education

10/2017 – 10/2020 Dr. rer. nat in Numerical Analysis, Berlin Mathematical School,
Freie Universität, Berlin, Germany.
07/2015 – 05/2017 Master of Science in Mathematics,
Indian Institute of Technology, Roorkee, India.
07/2012 – 05/2015 Bachelor of Science in Mathematics,
St. Stephen's College, University of Delhi, India.

Research Interests


  • Domain Decomposition Methods for Poisson Boltzmann Equations
  • Finite Element Analysis for Convection-Dominated Problems
  • A Posteriori Error Analysis
  • Scientific Computing


Publications


  • Abhinav Jha: A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations. In: Computers and Mathematics with Applications, 97(1) (June 2021), Pages: 86–99, DOI: 10.1016/j.camwa.2021.05.031

  • Abhinav Jha, Volker John: On Basic Iteration Schemes for Nonlinear AFC Discretizations. In: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018, 135 (January 2020), Pages: 113–128, DOI: 10.1007/978-3-030-41800-7_7

  • Abhinav Jha, Volker John: A study of solvers for nonlinear AFC discretizations of convection–diffusion equations. In: Computers and Mathematics with Applications, 78(9) (May 2019), Pages: 3117–3138, DOI: 10.1016/j.camwa.2019.04.020


Preprints


  • Abhinav Jha, Naveed Ahmed: Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations. (March 2021), arXiv: 2103.04776

  • Abhinav Jha: Hanging nodes in the Context of Algebraic Stabilizations for Convection-Diffusion Equations. (July 2020), arXiv: 2007.08405


Thesis


  • Numerical Algorithms for Algebraic Stabilizations of Scalar Convection-Dominated Problems, PhD Thesis, Supervisor : Prof. Dr. Volker John, Freie Universität, Berlin, October 2020
  • Finite Element Method for Population Balance Equation, Master Thesis, Supervisor : Dr. Ankik Kumar Giri, Indian Institute of Technology, Roorkee, May 2017


Workshops and Conferences (Participation)


  • Chemnitz Finite Element Symposium, 2021 (Online), Residual based a Posteriori Error Estimators for Algebraic Flux Correction Scheme, 6-8 September 2021, Slides
  • Bound-Preserving Space and Time Discretizations for Convection-Dominated Problems, BIRS & CMO (Online), Residual based a Posteriori Error Estimators for Algebraic Flux Correction Scheme, 22-27 August 2021, Slides , Video
  • Lunch Seminar, RWTH Aachen University , Numerical Algorithms for Algebraic Stabilizations of Scalar Convection‐Dominated Problems, 26 January 2021
  • ESCO 2020, 7th International Congress of Computational Engineering and Sciences (Online), Towards A Posteriori Error Estimators for Algebraic Flux Correction Scheme, 8-12 June 2020
  • The 28th Biennial Numerical Analysis Conference, Glasgow , On Numerical Simulations and a Posteriori Analysis for Algebraic Flux Correction Schemes, 25-28 June 2019
  • MAFELAP 2019, The Mathematics of Finite Elements and Applications 2019, London, On Numerical Simulations and a Posteriori Analysis for Algebraic Flux Correction Schemes, 17-21 June 2019
  • 13th International Workshop on Variational Multiscale and Stabilized Finite Elements, WIAS, Berlin, Investigation of different solvers for nonlinear algebraic stabilizations of convection diffusion equations, 5-7 December 2018, Slides
  • BAIL 2018, International Conference on Boundary and Interior Layers, Glasgow , Study of Iterative Methods for Nonlinear AFC Discretizations on Convection-Diffusion Equations, 18-22 June 2018, Slides


Minisymposium and Conferences (Organisation)


  • 5th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics (WCCM-APCOM 2022), Yokohoma, Minisymposium: Special Methods in Computational Fluid Mechanics, Co-Organiser with Dr. Matthias Kirchhart, 31 July - 5 August, 2022
  • 8th BMS Student Conference, TU Berlin, Co-Organiser, Conference Page, 19-22 February, 2020


Teaching


  • RWTH Aachen University
    • Summer Semester 2021: Mathematische Grundlagen IV (CES), Teaching Assistant
  • Freie Universität, Berlin
    • Summer Semester 2019: Numerics III, Teaching Assistant
    • Winter Semester 2018: Numerics II, Teaching Assistant


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Last modified:: 2021/09/07 12:26