Hardik Kothari

Hardik Kothari

Scientific Collaborator

Conference Organization

  1. International Multigrid Conference 2022, August 22-26, in Lugano, Switzerland.
    Co-organized with R. Krause, G. Wittum
  2. $3^{rd}$ ECCOMAS Thematic conference on eXtended Discretization MethodS (XDMS) 2019, July 3-5, in Lugano, Switzerland.
    Co-organized with R. Krause, G. Wittum

Minisymposia Organization

  1. Efficient iterative methods for solving coupled and strongly nonlinear problems,
    $16^{th}$ World Congress on Computational Mechanics 2024.
    Co-organized with R. Krause (USI, Switzerland), A. Nägel (Goethe-Universität Frankfurt, Germany) and G. Wittum (KAUST, Saudi Arabia)
  2. Scientific Machine Learning: Algorithms and Applications
    Central-European Conference on Scientific Computing (ALGORITMY 2024).
    Co-organized with A. Kopaničáková (Brown University, USA), S. Pezzuto (University of Trento, Italy) and R. Krause (USI, Switzerland)
  3. Multigrid methods for non-standard discretization methods
    International Multigrid Conference 2022.
    Co-organized with M. Favino (Université de Lausanne, Switzerland)
  4. Combining the domain decomposition and the multilevel methods with machine learning approaches
    International Multigrid Conference 2022.
    Co-organized with A. Kopaničáková (Brown University, USA)

Selected Talks at conferences and workshops

  1. H. Kothari, A. Kopaničáková, G. Em Karniadakis, R. Krause,
    Nonlinear preconditioning for training of physics-informed neural networks,
    Central-European Conference on Scientific Computing (ALGORITMY 2024).
    , High Tatra Mountains, Slovakia.
  2. H. Kothari, A. Kopaničáková, R. Krause,
    Nonlinear Schwarz preconditioning for solving bound constrained optimization problems,
    $28^{th}$ International Domain Decomposition Conference, DD XXVIII (2024), King Abdullah University of Science and Technology, Saudi Arabia.
  3. H. Kothari, M.C.G. Nestola, M. Favino, R. Krause,
    On multipreconditioning Conjugate Gradient method with the additive multigrid for solving highly anisotropic problems,
    European Conference on Numerical Mathematics and Advanced Applications, ENUMATH (2023), Lisbon, Portugal
  4. H. Kothari, A. Kopaničáková, R. Krause
    A nonlinear preconditioning strategy for solving phase-field fracture problems in a constrained minimization framework,
    $10^{th}$ International Congress on Industrial and Applied Mathematics, ICIAM (2023), Tokyo, Japan
  5. H. Kothari, P. Zulian, R. Krause,
    An algebraic domain decomposition strategy for solving the contact problems,
    $7^{th}$ International Conference on Computational Contact Mechanics, ICCCM (2023), Torino, Italy
  6. H. Kothari,
    A mini-course on multigrid methods,
    Research school on Iterative Methods for Partial Differential Equations, IMPDE (2023), Paris, France
  7. H. Kothari, R. Krause,
    A multigrid method for solving variational inequalities,
    $21^{st}$ Copper Mountain Conference on Multigrid Method (2023), Colorado, USA
  8. H. Kothari, A. Kopaničáková, R. Krause,
    Nonlinear Preconditioning Strategies for Solving Phase-Field Fracture Problems,
    SIAM Conference on Computational Science and Engineering (CSE23) (2023), Amsterdam, Netherlands.
  9. A. Kopaničáková, H. Kothari, R. Krause,
    Enhancing Training of Scientific Machine Learning Applications,
    SIAM Conference on Computational Science and Engineering (CSE23) (2023), Amsterdam, Netherlands.
  10. H. Kothari, R. Krause,
    A Multigrid method for Contact Problems in Unfitted FE Framework,
    International Multigrid Conference (2022) (IMG), Lugano, Switzerland.
  11. H. Kothari, R. Krause,
    A Domain Decomposition and Multigrid Preconditioners for Unfitted Finite Element Methods,
    $27^{th}$ International Domain Decomposition Conference, DD XXVII (2022), Prague, Czech Republic.
  12. H. Kothari, R. Krause,
    A Trust-region method for solving finite deformation contact problems in unfitted finite element method,
    ${15}^{th}$ World Congress on Computational Mechanics (2022), Yokohama, Japan (Virtual).
  13. A. Kopaničáková, H. Kothari, R. Krause,
    Nonlinear preconditioning strategies for monolithic phase-field fracture models,
    $11^{th}$ European Solid Mechanics Conference (2022), Galway, Ireland
  14. H. Kothari, R. Krause,
    Discretization and Solution Methods for Contact Problems in an Unfitted Finite Element Method,
    $11^{th}$ European Solid Mechanics Conference (2022), Galway, Ireland
  15. H. Kothari, A. Kopaničáková, P. Zulian, R. Krause,
    Nonlinear Domain Decomposition and Multilevel methods for solving Phase-Field Fracture Problems,
    45eme Congrès National d’Analyse Numérique - CANUM (2022), Évian-les-Bains, France
  16. A. Kopaničáková, H. Kothari, R. Krause,
    Nonlinear additive and multiplicative preconditioning strategies for monolithic phase-field fracture models,
    ECCOMAS Congress (2022), Oslo, Norway
  17. H. Kothari, R. Krause,
    A generalized multigrid method for contact problems in Lagrange multiplier based unfitted finite element method,
    ECCOMAS Congress (2022), Oslo, Norway
  18. H. Kothari, R. Krause,
    Multigrid and Saddle-point Preconditioners for Unfitted Finite Element Modeling of Inclusions,
    ${16}^{th}$ U.S. National Congress on Computational Mechanics (2021), Chicago, USA (Virtual).
  19. H. Kothari, R. Krause,
    A Generalized Multigrid Method for Contact problems in Unfitted Finite Element Methods,
    $20^{th}$ Copper Mountain Conference on Multigrid Methods (2021), Colorado, USA (Virtual).
  20. H. Kothari, R. Krause,
    A Multigrid Method for Contact Problems in Unfitted Finite Element Methods,
    ECCOMAS Congress 2020 - $14^{th}$ World Congress on Computational Mechanics (2021), Paris, France (Virtual).
  21. H. Kothari, A. Kopaničáková, R. Krause,
    A Matrix-free Multigrid Preconditioner for Globalized Jacobian-free Newton-Krylov Methods,
    $26^{th}$ International Domain Decomposition Conference, DD XXVI (2020), Hong Kong, China (Virtual).
  22. H. Kothari, R. Krause,
    A Multigrid Method for Lagrange Multiplier based Unfitted Finite Element Method,
    $15^{th}$ U.S. National Congress on Computational Mechanics (2019), Austin, USA.
  23. H. Kothari, R. Krause,
    A Multigrid Method for Nitsche-based Extended Finite Element Method,
    ECCOMAS Thematic Conference on eXtended Discretization Methods (X-DMS 2019), Lugano, Switzerland.
  24. H. Kothari, R. Krause,
    A Nitsche based Extended Finite Element (XFEM) approach to embedded contact interfaces,
    $13^{th}$ World Congress on Computational Mechanics (2018), New York, USA.
  25. H. Kothari, R. Krause,
    A Semigeometric Multigrid for the Extended Finite Element Method,
    Current topics in numerical analysis in Winter Semester 2017/2018, IGPM, RWTH Aachen University, Germany.
  26. H. Kothari, A. Kopaničáková, R. Krause,
    A Semigeometric Multigrid Method for Fracture Mechanics,
    ECCOMAS Thematic Conference on eXtended Discretization Methods (X-DMS 2017), Umeå, Sweden.
  27. T. Ludescher, S. Groß, H. Kothari, R. Krause, A. Reusken,
    A Multigrid Method for Unfitted Finite Element Methods,
    International Multigrid Conference (IMG 2016), Bruchsal Palace, Germany

Posters

  1. H. Kothari, A. Kopaničáková, P. Zulian, M. Nestola, E. Pezzulli, T. Driesner, R. Krause,
    Multilevel and Domain-Decomposition Solution Strategies for Solving Large-Scale Phase-Field Fracture Problems,
    The Platform for Advanced Scientific Computing Conference (PASC 2023), Davos, Switzerland
  2. S. Cruz, A. Kopaničáková, H. Kothari, K. Trotti, R. Krause,
    Parallel Training of Deep Neural Networks,
    The Platform for Advanced Scientific Computing Conference (PASC 2023), Davos, Switzerland
  3. A. Kopaničáková, S. Cruz, H. Kothari, R. Krause,
    Distributed Training of Deep Neural Networks,
    The Platform for Advanced Scientific Computing Conference (PASC 2022), Basel, Switzerland