Kundan Kumar


Associate Professor


Department of Mathematics


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.



I have finished two courses in Pedagogy from Karlstad University, Sweden. 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

Responsible lecturer for Continuum Mechanics, Spring 2020, Spring 2021, Spring 2022, Spring 2023

Responsible lecturer for Numerical Linear Algebra, Fall 2020, Fall 2021

Responsible lecturer for Computational Science II, Spring 2015, Spring 2016, Spring 2017, Spring 2018

Responsible lecturer for Finite Element Analysis, Fall 2015, Fall 2017, Fall 2022

Responsible lecturer for 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

Responsible lecturer for Ordinary Differential Equations, Fall 2018,

Responsible lecturer for Advanced Linear Algebra, Spring 2019,

Responsible lecturer for 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.


Academic article
Academic chapter/article/Conference paper
Academic lecture
Doctoral dissertation
Academic anthology/Conference proceedings
Academic literature review
Masters thesis

See a complete overview of publications in Cristin.

Please see attached CV.

At Google scholar https://scholar.google.com/citations?user=rHFW3EAAAAAJ&hl=en



NFR-DAAD (PI, UoB-University of Erlangen, Germany): Upscaling of Evolving Microstructures and its Applications, (80k NOK).


SIU Project  (PI, UoB-Russian Academy of Sciences, St. Petersburg). An extensive collaborative project on education, research and training with 
Russian Academy of Sciences, St Petersburg, Russia, CPRU 2015/10040, (147k NOK).


NFR-Petromaks2  (Co-applicant, UniResearch CIPR-UoB): EOR upscaling - from lab to field, 2 PhD at UoB); main-adviser for the PhD,  (24M NOK).


NFR-CLIMIT  (Co-applicant, UniResearch CIPR-UoB): Efficient models for Microbially Induced CAlcite Precipitation as a seal for CO2 storage (MICAP), (8M NOK).


NFR-Toppforsk  (Co-applicant): Thermo-Mechanical Subsurface Energy Storage (TheMSeS) (4 PhD, 4 PostDocs); main adviser for 1 PhD, (25M NOK).


NFR-Petromaks2  (Co-applicant, Collaboration UniResearch CIPR-UoB): Improving microbial selective plugging technology through experimentally based modelling and simulation (IMMENS) (1 PhD at UoB); co-adviser for the PhD, (10M NOK).


NFR-CLIMIT  (Co-applicant, UniResearch CIPR-UoB): Fundamentals of CO2- Hydrocarbon Interactions for CO2 storage with enhanced oil recovery (CHI).(7M NOK).


NFR-DAAD  (Co-applicant, UoB-Federal Army University of Hamburg, Germany): Efficient discretizations and fast solvers for poroelasticity, (60k NOK).


UoB/Statoil Project  (Co-author): Experimentally based modelling of colloid transport in multiphase porous media (EPOCH) (1 PostDoc). WP leader, (3.5M NOK).


PI: Strategisk program for internasjonalt forskningssamarbeid, SPIRE UoB, (60k NOK)



VISTA Center for Coupled Subsurface Dynamics, UoB, Head of one of three scientific pillars, (25 M NOK)

2023- 2025

Project manager and PI, Modelling and Solution Strategies for the Subsurface Deformations, (200k NOK). Akademiaavtalen.



Deputy Head of Work Package 1, Center for Sustainable Subsurface Resources, one of three current petroleum research centers (PETROCENTER), Main supervisor of 1 PhD student.