Kent-Andre Mardal
Chief Research Scientist, Simula Research Laboratory e-mail: kent-and@simula.no
Professor in Mechanics, Department of Mathematics, University of Oslo e-mail: kent-and@math.uio.no
Consulant for Expert Analytics e-mail: kent@xal.no

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On Writing a MSc thesis

• How to write a thesis and how a thesis is evalutated.

Available master projects

Courses

I am teaching the courses:

• MEK4250 - Computational Mechanics
• MEK4300 - Viscous Flow and Turbulence
• MEK3700 - Current topics in bio-mechanics

• MEK3570 - Computational Solid Mechanics, H17 and H18.
• MEK3220 - Continuum Mechanics H14, H15 and H16.
• INF-MAT5650 - Finite Elements for Partial Differential Equations V13 and V14.
• INF-MAT3360 - Partial Differential Equations V12 and V13.
• INF5670 - Numerical Methods for Navier-Stokes equations H04, H06, H07, and H09.
• INF5600 - Iterative Methods and Multigrid V02, V03, V04, V05, V07, and V10.
• INF5660 - INF5660 - Advanced problem solving with high level languages V04, V05, V06, V07 (with Langtangen and Skavhaug)

Post Docs

1. Lars Magnus Valnes, 2023 -- (Computational Hydrology project)
2. Timo Koch, 2020 -- (Scientia Fellow, Alzheimer´s physics project)
3. Jarle Sogn, 2022 -- 2024 (Alzheimer's physics project)
4. Marius Zeinhofer, 2022 -- 2024 (SciML project)
5. Ana Budisa, 2020--2023 (SciML project)
6. Eirik Valseth, 2022 (Marie Sklodowska-Curie Actions)
7. Johannes Haubner, 2021 -2023 (SciML project)
8. Lars Magnus Valnes, 2020-2023 (with main supervisor P.K. Eide at OUH and Geir Ringstad)
9. Alexandra Vallet, 2020 --2023 (Alzheimer's physics project)
10. Miroslav Kuchta, 2018--2021 (Notably project)
11. Erika Kristine Lindstrøm, 2015-2017
12. Simon Funke, 2013--2015 (with Marie Rognes)
13. Martin Sandve Alnæs, 2011-2014

PhD Students

1. William Greenough, 2024 -- (with Wahbi El-Bouri, Liverpool )
2. Jørgen Riseth, 2023 -- (with Marie Rognes)
3. Alessandro Contri, 2023 -- at NTNU (with main supervisor Andre Massing and Elena Celledoni)
4. Giulia Monopoli, 2023 -- (with main supervisor Molly Maleckar, Gabriel Balaban and Joakim Sundnes)
5. Kristin Valseth, 2022 --- (main supervisor, with Gaute Lappegard, Olga Silantyeva, Thomas Surowiec)
6. Ottar Hellan, 2022 --- (with main supervisor Miroslav Kuchta)
7. Ciara Giraudo, 2022 (with main super Miroslav Kuchta, Mikkel Lepperød, Marius Zeinhofer)
8. Martin Hornkjøl, 2020 -- (main supervisor, with Vegard Vinje, Marie Rognes, Karsten Trulsen and Per Kristian Eide)
9. Florian Arbes, 2020 -- (main supervisor, with Øyvind Jensen)
10. Stephane Poulain, Capillarity, Elastohydrodynamic, and Fluid-Structure Interactions at Small Scales, 2024 (co-supervisor, with main supervisor Andreas Carlson, Tak Shing Chan)
11. Bastian Zapf, Inverse mathematical modeling of solute transport in the human brain, 2023 (main supervisor, with Simon Funke, Miroslav Kuchta, Geir Ringstad)
12. Eleonora Piersanti, Parameter-robust formulation and preconditioning of poroelasticity equations for brain modelling, 2023 (co-supervisor, with main supervisor Marie Rognes)
13. Christian Pedersen, Fluid structure interactions and the physics of spinning maple seeds, 2021 (co-supervisor, with main supervisor Andreas Carlson)
14. Jakob Schreiner, Patient Specific Computational Models of the Brain and Electroconvulsive Therapy, 2022 (main supervisor, with Ola Skavhaug, Aslak Tveito, Leif Oltedal)
15. Ada Johanne Ellingsrud, Computational modelling of electrodiffusion and osmosis in cerebral tissue, 2021 (co-supervisor, with Marie Rognes, Klas Pettersen, Gaute Einevoll)
16. Karl Erik Holter, Robust preconditioning of multiphysics problems and interstitial fluid flow, 2021, (main supervisor, with Anders Dale, and Unn Haukvik)
17. Rossana Virginia Rojas Molina, Membrane budding dynamics by diffusion and kinetic recruitment of proteins, 2020 (co-supervisor, with main supervisor Andreas Carlson)
18. Jørgen Dokken, Shape Optimization for Finite Element Methods, 2020 (co-supervisor, with main supervisor Simon Funke and Agust Johansen)
19. Tormod Landet, Discontinuous Galerkin methods for multiphase flow, 2020 (co-supervisor, with main supervisor Mikael Mortensen)
20. Lars Magnus Valnes, Patient-specific Modeling of the Human Brain using Magnetic Resonance Imaging, 2019 (main supervisor, with Erika Lindstrøm, Marie Rognes, Per Kristian Eide, Unn Haukvik)
21. Vegard Vinje, Maathematical Modeling of Cerebrospinal Fluid Pulsatility and Pathways, 2019 (co-supervisor, with main supervisor Marie Rognes)
22. Trygve Bærland, Preconditioning strategies related to multiphysics problems, 2019 (co-supervisor, with main supervisor Ragnar Winther)
23. Magne Noraas, Operator preconditioning for PDE-constrained optimisation and multiscale problems (main supervisor, with Bjørn Fredrik Nielsen), 2017.
24. Owais Khan, Numerical characterization of high-frequency flow fluctuations in intracranial aneurysms, (co-supervisor, with main supervisor David Steinman and Kristian Valen-Sendstad), 2016
25. Miroslav Kuchta, Preconditioners for singular problems and coupled problems with domains of different dimensionality, 2016 (with main supervisor Mikael Mortensen)
26. Øyvind Evju, Computational hemodynamics in cerebral aneurysms: Robustness of rupture risk indicators under different model assumptions, (main supervisor, with Martin Alnæs, Kristian Valen-Senstad, Angelika Sorteberg, Hans Petter Langtangen) 2016
27. Kartik Jain - Transition to Turbulence in Physiological Flows: Direct Numerical Simulations of Hemodynamics in Intracranial Aneurysms and Cerebrospinal Fluid Hydrodymanics in the Spinal Canal (co-supervisor, with main supervisor Sabine Roller), 2016
28. Giulia Pizzichelli, Modelling approaches of innovative drug delivery strategies for the Central Nervous System, (main supervisor Edoardo Sinibaldi, supervised for part of PhD during stay at Simula with Marie Rognes), 2016
29. Karen Helene Støverud - Relation between the Chiari I malformation and syringomyelia from a mechanical perspective, 2014 (main supervisor, with Hans Petter Langtangen, Mikael Mortensen, and Victor Haughton)
30. Ole Elvetun - PDE-constrained optimization: Preconditioners and diffuse domain methods, (co-supervisor, with main supervisor Bjørn Fredrik Nielsen), 2015.
31. Sigrid Dahl - Numerical simulations of blood flow in the left side of the heart, 2012 (co-supervisor, with Bjørn Skallerud, Leif Rune Hellevik, and Jan Vierendeels)
32. Kristian Valen-Sendstad - Computational Cerebral Hemodynamics, 2011 (main supervisor, with Anders Logg, Hans Petter Langtangen and Bjørn A. Reif)
33. Martin Sandve Alnæs - A Compiler Framework for Automatic Linearization and Efficient Discretization of Nonlinear Partial Differential Equations, 2009 (co-supervisor, with Joakim Sundnes)
34. Gunnar Andreas Staff - Numerical Computation of Initial Value Problems originated from Partial Differential Equations, 2006 (main supervisor, with Hans Petter Langtangen)

Master Students

1. Vasin Phumimas (main supervisor, with co-supervisor Timo Koch)
2. Anders Thorstad Bø (main supervisor, with co-supervisor Timo Koch)
3. Jouval Max Erik Somer (main supervisor, with Eirik Valseth)
4. Aleksander Jacobsen -- 1-Dimensional Modeling of Cerebrospinal Fluid Flow in Penetrating Arteriole Perivascular Spaces (co-supervisor, with main supervisor Leif Rune Hellevik, NTNU)
5. Martin Kristiansen -- Finite Element and Neural Network Solvers for Modelling Microcirculation (with main supervisor Miroslav Kuchta), 2023
6. Elena Bernadelli -- Investigating Brain Clearance Mechanisms: A Mathematical Approach to Diffusion Coefficient and Boundary Conditions Estimation (co-supervisor, with main supervisor Simone Pezzuto, Universita Di Trento)
7. Lars Willas Dreyer -- Normal Pressure with Abnormal Geometry - A Biomechanical Model of Normal Pressure Hydrocephalus During Infusion Tests (with Vegard Vinje and Marie Rognes), 2022
8. Sidra Rashid -- Uncertainty estimates of machine learning models for wind turbine maintenance (co-supervisor with Signe Riemer-Sø rensen, Alexander Stasik), 2022
9. Soran Najat Ibrahim -- Modeling of Blood Flow in Zebrafish With Cancer (with Simon Funke, Ana Budisa), 2021
10. Ingvild Hjortnæs Larsen -- Frie deformasjonsbølger i blodårer (with Karsten Trulsen), 2021
11. Sebastian Kenji Mitusch - An Algorithmic Differentiation Tool for FEniCS (co-supervisor, with main supervisor Simon Funke), 2018
12. Christian Bjørland - Explicit Time Stepping Schemes for the Bidomain Model (co-supervisor with main supervisor Joakim Sundnes), 2018
13. Valentyna Pysarieva - A posteriori modelling error estimation for linear elasticity and poroelasticity (co-supervisor, with main supervisor Marie Rognes), 2018
14. Nithusha Tharmanathan - Investigating the Advantages of Having a Tensor Product Finite Element Software - A comparison with FEniCS(main supervisor, with co-supervisor Espen Sande), 2018
15. Shako Farhad -- Investigation of Nanoparticles in Zebrafish using Particle Tracking Velocimetry (main supervisor), 2018
16. Emilie Ødegaard -- A posteriori error estimation for multiple-network poroelasticity (co-supervisor, with main supervisor Marie Rognes), 2018
17. Andreas Thune - A parallel in Time Method for Optimal Control - Parareal-Based Preconditioner for the BFGS Algorithm (co-supervisor, with main supervisor Simon Funke), 2017
18. Vegard Vinje - Simulating Cerebrospinal Fluid Flow and Spinal Cord Movement Associated with Syringomyelia -- Fluid Structure Interaction in Idealized Geometries, (main supervisor, with Marie Rognes and Victor Haughton), 2016.
19. Vetle Christoffer Torpmann-Hag Frostelid - Non-intrusive experimental investigation of flow in complex aneurysmal geometries (co-supervisor, main supervisor Atle Jensen), 2016
20. Jakob Schreiner - Computational Fluid Dynamics Modelling of Cerebrospinal Fluid Flow In Patient Specific Geometries Comparisons With in vivo Measurements (main supervisor, with Erika Lindstrøm), 2016.
21. Shifteh Sherafat - Idealized Simulations of Vasoconstriction and Vasodilation of Cerebral Arteries based on Mechanotransduction (main supervisor, with Simon Funke), 2016
22. Katrin Stollenmaier - Modelling of intra- and extracellular flow and transport processes (co-supervisor, with Tobias Koppl, Timo Koch, Karl Erik Holter), University of Stuttgart, 2016
23. Ada Johanne Ellingsrud, Preconditioning unified mixed discretizations of coupled Darcy-Stokes flow (co-supervisor, with Marie Rognes), 2015.
24. Per Thomas Haga, Numerical simulations of advection-dominated scalar mixing with applications to spinal CSF flow and drug transport (co-supervisor, with main supervisor Mikael Mortensen and Giulia Pizzichelli), 2015.
25. Imran Ali, Visualization of Second Order Tensor Fields (co-supervisor, with main supervisor Øyvind Andreasson, Anders Helgeland), 2015.
26. Kristian Hesselberg Brox, Comparison of some preconditioners for the coupled Navier-Stokes equations (main supervisor, with Magne Nordaas), 2015.
27. Jarle Sogn, Stabilized Finite Element Methods for the Brinkman Equation on Fitted and Fictitious Domains (main supervisor, with Andre Massing), 2014.
28. Nina Kristine Kylstad, Simulating the Viscoelastic Response of the Spinal Cord, 2014 (co-supervisor, with main supervisor Marie Rognes).
29. Ingebort Sauge Torpe, An in-depth study of one-shot optimization with applications to magnetic resonance elastography, 2014 (co-supervisor, with main supervisor Marie Rognes).
30. Timo Koch, Coupling a vascular graph model and the surrounding tissue to simulate flow processes in vascular networks (co-supervisor, with Natalie Schroder and Rainer Helmig, Stuttgart, Andre Massing, Simula), 2014.
31. Tom Nærland, Geometry decomposition algorithms for the Nitsche method on unfitted geometries (co-supervisor, with main supervisor Andre Massing), 2014.
32. Torbjørn Seland, Mathematical analysis of epidemic systems comparison of different models (main supervisor, with Hans Petter Langtangen), 2014.
33. Håkon Østerbø, The Effects of Heart Rate on Blood Flow in Intracranial Aneurysms (main supervisor, with Martin Sandve Alnæs and Øvind Evju), 2013.
34. Ida Norderhaug Drøsdal - Porous and Viscous Modeling of Cerebrospinal Fluid Flow in the Spinal Canal Associated with Syringomyelia, 2012 (main supervisor).
35. Sebastian Warmbrunn, Inspecting endovascular aneurysm treatments with porous medium flow simulations and the use of a statistical framework, (main supervisor, with Katerina Baber and Rainer Helmig, Stuttgart) 2012.
36. Adrian Hope, Analysis of a system of elliptic partial differential equations and its possible boundary conditions when discretized with Hermite and Lagrange elements , 2012 (main supervisor, with Mikael Mortensen).
37. Mikkel Sanderud, Patient-Specific Modeling of Normal Pressure Hydrocephalus (main supervisor, with Karen Støverud and Per Kristian Eide), 2012.
38. Gabriela Rutkowska - Computational Fluid Dynamics in Patient-Specific Models with Normal and Chiari I Geometries, 2011 (main supervisor).
39. Øvind Evju - Sensitivity analysis of simulated blood flow in cerebral aneurysms, 2011 (main supervisor, with Kristian Valen-Sendstad).
40. Anna Blechingberg - On the Shaking Baby Syndrome, 2010 (main supervisor, with Arne Stray Pedersen and Joachim Sundnes).
41. Arne Jørgen Arnesen - Comparison of Finite Element Methods for the Navier-Stokes Equations, 2010 (main supervisor).
42. Susanne Hentschel - Modelling and Simulation of Blood Pressure in Rats, 2008 (co-supervisor, with Hans Petter Langtangen).
43. Robert Bauck Hamar - Kompilering av mindre Python moduler til C++, 2007 (main supervisor).
44. Didrik Lilja - On testing the optimum principles of Murray's law, 2006 (main supervisor, with Hans Petter Langtangen).
45. Martin Sandve Alnæs - Finite element simulations of blood flow in the circle of Wills, 2006. (main supervisor)
46. Trygve Klovning Karper - Mixed finite element methods for coupled Darcy-Stokes flow, 2006, (main supervisor, with Ragnar Winther).
47. Richard Magnor Stenbro - Python - Realizer, 2005 (main supervisor)
48. Asbjørn Reglund Thorsen - Ruby-grensesnitt til Diffpack og analyse av kompilator-opsjoner ved bruk av modifisert ACOVEA, 2005 (main supervisor, with Hans Petter Langtangen)
49. Nguyen Bao Anh - Visualisering av sammenhengen mellom krefter på et skrog og skrogets bevegelser i sjø, 2005, co-supervisor
50. Erica Madeleine Linger - Solving the Unsteady Stokes Equations with the Parareal Algorithm, 2005 (main supervisor, with Gunnar Staff)
51. Master Westlie - Utvikling av et Python grensesnitt til Diffpacks C++ biblioteker, 2004. (main supervisor, with Hans Petter Langtangen)

Bachelor Students

1. Jan Helmig - A Numerical Investigation of the Stability of Different Schemes for a Simplified Fluid-Structure Interaction Scheme with Application to Physiological Problems, (main supervisor, with Marek Behr and Lutz Pauli, Aachen), 2013.