SIAM 2021

The SIAM geosciences conferences are among the most relevant to the PMG, and strong participation is planned for the 2021 Milan event. In addition to a number of talks and minisymposium organisation, the group will take part through the mini tutorial organised by Florin A. Radu and Jan M. Nordbotten.

National Workshop on

We are pleased to announce a national gathering as a result of joint efforts across different Norwegian research institutions. This workshop aims to bring together researchers to discuss the recent advances and future challenges of applied and computational mathematics within interdisciplinary problem solving. Special focus will be devoted to applications within the fields of geosciences, biomedicine and wind energy. The workshop is open by invitation only.

Date: September 15, 2020


Inga Berre (University of Bergen)

Trond Kvamsdal (NTNU)

Kent-Andre Mardal (University of Oslo)

Jan Martin Nordbotten (University of Bergen)

Adil Rasheed (NTNU)

Marie E. Rognes (Simula Research Laboratory)

Post doc in

There is a vacant position in the group as part of the project Thermo-Mechanical Energy Storage (TheMSES). For further details, please follow this link.

New paper

The paper Iterative schemes for surfactant transport in porous media investigates different linearization schemes and iterative solvers for the fully coupled problems given by reactive transport and flow in porous media. The paper, written by D. Illiano, I. S. Pop and F. A. Radu, was published in Computational Geosciences and may be found at


Three new papers

The following three papers have recently been published:

  1. A paper on robust solvers for phase-field models in CMAME by Mats Brun et al. The presented solver seems to significantly reduce the number of iterations comparing with existing approaches.


  1. The recent paper ‘Rigourous upscaling of unsaturated flow in fractured porous media┬┤ concerns upscaled models for domains containing a fracture. Both the matrix and fracture are assumed to be unsaturated. Effective models are rigorously derived. The paper appeared in SIAM Journal of Mathematical Analysis and was written by Florian List, Kundan Kumar, Iuliu Pop, and Florin Radu.


  1. A paper on upscaling of permeable biofilm in different geometries in Transport in Porous Media: An Upscaled Model for Permeable Biofilm in a Thin Channel and Tube by David Landa-Marban et al.

Multi-Point approximations for thermo-poroelasticity

Jan and Eirik have just uploaded a new paper entitled An introduction to Multi-Point Flux (MPFA) and Multi-Point Stress (MPSA) Finite Volume Methods for Thermo-Poroelasticity, to arxiv. The paper gives a unified presentation of the MPFA/MPSA family of methods, including formulation, method properties and implementational aspects. The paper covers much of the development that has taken place since Ivar Aavatsmark wrote his introduction to MPFA almost 20 years ago.

Higher order FE schemes for the wave equation

A paper has recently appeared in Mathematics of Computations:

Post-processed Galerkin approximation of improved order for wave equations by M. Bause, U. Koecher, F.A. Radu and F. Schieweck,

The paper is about higher order FE schemes in time and space for the wave equation. The main point is the introduction of a post processing to increase the order of convergence in time. Rigorous analysis and numerical experiments are presented.

Flow upscaling in fractured porous media

A paper has recently appeared in Journal of Computational Physics:

Formal upscaling and numerical validation of unsaturated flow models in fractured porous media by F.List, K. Kumar, I.S. Pop and F.A. Radu

Formal upscaling is performed for a domain containing one fracture. The medium is assumed to be unsaturated. Depending on the ratio between the permeability/porosity in the fracture and in the outer medium a cascade of models is obtained. The paper aims to answer which is the right model to be used in the different cases.

Visit from Heidelberg

The group has the honour of hosting Dr. Markus Ghan from the University of Heidelberg in the period 06-11.01.2020. Dr. Ghan is an expert in upscaling, homogenisation and applications to life science problems.

Visiting Stuttgart

As reported in a previous post, Professor Rainer Helmig joined the PMG in the Magne Espedal honorary position. During Helmig’s visit to Bergen in April, I was invited to visit the Institute for Modelling Hydraulic and Environmental Systems in Stuttgart for two months this fall. The purpose of the stay was to meet, discuss and collaborate with members of the group working on similar problems as myself, i.e. coupled thermo-poroelasticity and fracture deformation. In addition to the inspiring scientific discussions, it was a true pleasure to get to know the members of the group!

During my visit, I was briefly joined by another PMG member. Inga Berre managed to squeeze in both a presentation at the group’s seminar and an interview with Carina Bringedal, who happens to be a former member of the group now employed at the University of Stuttgart.