Education
Doctoral Studies in Computational Science at Università della Svizzera Italiana (2020)
Ph.D. Thesis: Multilevel Solution Strategies for Unfitted Finite Element Methods
M.Sc. in Computational Materials Science at TU Bergakademie Freiberg, Germany (2014)
Master Thesis: Parallelisation of a spectral element solver at ZIH, TU Dresden (Pdf download)
B.Eng. in Aeronautical Engineering at Gujarat University, India (2009)
Interests
- Unfitted Finite Element Methods, eXtended Finite Element Method (XFEM)
- Multilevel Methods for Unfitted Method
- Constrained Optimization
- Continuum Mechanics
- Contact Mechanics
Publications
Mar 2021 - "Multigrid and saddle-point preconditioners for unfitted finite element modelling of inclusions" DOI:10.23967/wccm-eccomas.2020.211
14th World Congress in Computational Mechanics and ECCOMAS Congress
H. Kothari, R. Krause
Dec 2019 - "A Multigrid Method for a Nitsche-based Extended Finite Element Method" arXiv:1912.00496 (in revision: Computing and Visualization in Science)
H. Kothari, R. Krause
Talks
January 2021 - "A Multigrid Method for Contact Problems in Unfitted Finite Element Methods"
H. Kothari, R.Krause
14th World Congress on Computational Mechanics - ECCOMAS Congress, 2021, Paris, France (Virtual)
December 2020 - "A True Matrix-free Multigrid Preconditioner for Globalized Jacobian-free Newton-Krylov Methods"
H. Kothari, A. Kopanicakova, R.Krause
26th International Domain Decomposition Conference, DD XXVI, 2020, Hong Kong, China (Virtual).
July 2019 - "A Multigrid Method for Lagrange Multiplier based Unfitted Finite Element Method"
H. Kothari, R.Krause
15th U.S. National Congress on Computational Mechanics, 2019, Austin, USA
July 2019 - "A Multigrid Method for Nitsche-based Extended Finite Element Method"
H. Kothari, R.Krause
ECCOMAS Thematic Conference on eXtended Discretization Methods (X-DMS 2019), Lugano, Switzerland
July 2018 - "A Nitsche based Extended Finite Element (XFEM) approach to embedded contact interfaces"
H. Kothari, R.Krause
13th World Congress on Computational Mechanics, 2018, New York, USA
February 2018 - "A Semigeometric Multigrid for the Extended Finite Element Method"
H. Kothari, R.Krause
IGPM, RWTH Aachen University, Germany
June 2017 - "A Semigeometric Multigrid Method for Fracture Mechanics"
H. Kothari, A. Kopanicakova, R.Krause
ECCOMAS Thematic Conference on eXtended Discretization Methods (X-DMS 2017), Umea, Sweden