Kundan Kumar
Stilling
Professor, Kundan kumar er professor i anvendt matematikk forskningsgruppen i por酶se medier gruppe ved universitetet i bergen.
罢颈濒丑酶谤颈驳丑别迟
Forskergrupper
Forskning
My research interests are in developing upscaled models, dimensional reduction and numerical algorithms for coupled multiphysics processes such as flow and transport in deformable porous media. The reactive flow models lead to changes in the geometry at the pore scale and require non-standard models for describing the processes. I have performed upscaling and dimensional reduction of such reactive processes and developed numerical methods for solving the upscaled models. I have also worked on scalable algorithms such as domain decomposition techniques for simulating multiphase flow and transport in porous media. In addition, I have worked on the analysis of iterative and multirate algorithms for solving the coupled flow and geomechanics problems in a porous medium.
Undervisning
I have finished two courses in Pedagogy. These two courses are Teaching in Higher Education I and Supervising Doctoral and Licentiate Students. This corresponds to a total of 10 full weeks of training, that is, 400 hours of training (15 ECTS).
University of Bergen, Department of Mathematics
Finite Element Analysis, Fall 2015, Fall 2017, Fall 2022, Fall 2025
Flow in Porous Media, Fall 2024
Continuum Mechanics, Spring 2020, Spring 2021, Spring 2022, Spring 2023
Numerical Linear Algebra, Fall 2020, Fall 2021
Computational Science II, Spring 2015, Spring 2016, Spring 2017, Spring 2018
Vector and Tensor Analysis, Fall 2016
Co-responsible (Main responsible: Prof. Helge Dahle) for Ordinary Differential Equations, Spring 2023
Karlstad University Sweden, Department of Mathematics and Computer Science
Ordinary Differential Equations, Fall 2018,
Advanced Linear Algebra, Spring 2019,
Complex Analysis and Transforms, Spring 2019
Optimization, Spring 2019
Teaching at Eindhoven University of Technology, The Netherlands
Instructor, Advanced Calculus 2008-09, 2009-10, 2010-11.
Instructor, Vector Calculus 2009-2010.
Publikasjoner
Vitenskapelig bokkapittel
Konferanseforedrag
Konferanseposter
Masteroppgave
Vitenskapelig artikkel
Konferanseabstrakt
Lederartikkel
Antologi
Forskningsrapport
Doktorgradsavhandling
Vitenskapelig litteraturgjennomgang