University of Gothenburg





Short Bio



Multiscale problems
In all branches of the engineering sciences we encounter problems with features on several different scales. A typical example is simulations in a heterogenous media where material data such as module of elasticity, conductivity or permeability, varies in space over several different scales. In order to solve these problems we develop and analyze efficient generalized finite element methods.
Multiphysics problems
Engineering applications that involves different kinds of physics (multi-physics) are computationally challenging. Reliability and efficiency is crucial when solving these problems. Reliability comes down to a need for bounds of the error between the computed approximation and the exact solution, and efficiency is achieved by designing adaptive algorithms that distributes the computational effort where it is most needed.
Uncertainty quantification
In engineering applications it is common that the data is given by experimental measurements or even that data is missing in some regions. It is natural to model this lack of exact information using a probabilistic representation of the data. We develop efficient methods for forward sensitvity analysis of partial differential equations with uncertainty in the data.
Error analysis for finite element methods
Error estimation in numerical simulation is crucial. A priori error bounds with rates show the convergence behaviour of the proposed method. A posteriori bounds gives computable bounds of the error and can be used to drive adaptivity. The solution is typically improved by refining the computational mesh or decreasing the time steps, but it can also be improved by improving the representation of the geometry, the data, or the numerical quadrature used in the finite element method.


Siyang Wang, Chalmers, 2017-
Efthimios Karatzas, University of Gothenburg, 2016-2017, now at University of Trieste
Tony Stillfjord, University of Gothenburg, 2015-2017, now at Max Planck, Magdeburg
Patrick Henning, Uppsala University, 2013-2014, now at Royal Institute of Technology

Ph.D. candidates
Per Ljung, Chalmers, 2018-
Gustav Kettil, Chalmers/Fraunhofer, (lic), 2014-
Anna Persson, Chalmers, (lic), (phd), 2013-2018, now at Royal Institute of Technology
Fredrik Hellman, Uppsala University, (lic), (phd), 2012-2017, now at HPC
Daniel Elfverson, Uppsala University, (lic), (phd), 2011-2015, now at Umeå University

M.Sc. students
Per Ljung, Chalmers, (msc), 2018, now at Chalmers
Tim Keil, University of Gothenburg, (msc), 2017, now at University of Munster
Robert Forslund, Chalmers, (msc), 2015, now at Chalmers/Arcam
Daniel Elfverson, Uppsala University, (msc), 2010, now at Umeå University
Klas Pettersson, Uppsala University, (msc), 2010, now at Narvik University College
Yang Zeng, Uppsala University, (msc), 2009

B.Sc. students
Viktor Bäck, Uppsala University, (bsc), 2012

External funding sources

The Göran Gustafsson Foundation
The Swedish Research Council
Fraunhofer-Chalmers Centre
The Swedish Foundation for Strategic Research


Daniel Elfverson, Umeå University, Sweden
Donald Estep, Colorado State University, USA
Fritjof Fagerlund, Uppsala University, Sweden
Emmanuil Georgoulis, University of Athens, Greece
Victor Ginting, University of Wyoming, USA
Fredrik Hellman, Uppsala University, Sweden
Patrick Henning, Royal Institute of Technology, Sweden
Michael Holst, University of California at San Diego, USA
Max Jensen, University of Sussex, UK
Mats G. Larson, Umeå University, Sweden
Auli Niemi, Uppsala University, Sweden
Anna Persson, Royal Institute of Technology, Sweden
Daniel Peterseim, University of Augsburg, Germany
Michael Presho, Southeast Missouri State University, USA
Tony Stillfjord, University of Magdeburg, Sweden
Robert Söderlund
Simon Tavener, Colorado State University, USA

Erdös number: 4, e.g. through: Erdös - Faber - Manteuffel - Holst - Målqvist

Research related assignments

Associate Editor BIT Numerical Mathematics


Department of Information Technology at Uppsala University
Mathematisches Forschungsinstitut Oberwolfach
Department of Mathematics at UCSD
My place in the global academic tree
Department of Mathematics at CSU
BIT Numerical Mathematics
Fraunhofer Chalmers Centre
Göran Gustafsson stiftelser