T. Gustafsson, D.Sc. (Tech.), docent, university lecturer
Table of Contents
1. Introduction
I'm a computational scientist focusing on finite element methods and a lecturer of engineering mechanics and finite element methods at Aalto University. My background is in numerical analysis and I have a special interest in research problems related to structural mechanics and elasticity. You can contact me via the email address firstname.lastname@aalto.fi.
2. Software
I created and maintain an open source Python package for finite element assembly called scikit-fem. Below is an example of solving elastic contact problem between two deformable bodies; you can find more examples from the library's documentation.
Figure 1: The contact between two deformable bodies and von Mises stress.
3. Research
Below is a list of research articles/book chapters and links to openly available versions.
| No. | Title | Year | Status | Journal/Series | PDF available? |
|---|---|---|---|---|---|
| 27 | Finite element approximation of penalized elastoplastic torsion problem with nonconstant source term | 2024 | Submitted | https://hal.science/hal-04675762v1 | |
| 26 | Distributed finite element solution using model order reduction | 2024 | Submitted | https://arxiv.org/pdf/2404.06260 | |
| 25 | Adaptive finite elements for obstacle problems | 2024 | Published | Advances in Applied Mechanics | https://arxiv.org/pdf/2410.22991 |
| 24 | Stabilised finite element method for Stokes problem with nonlinear slip condition | 2024 | Published | BIT Numerical Mathematics | https://doi.org/10.1007/s10543-024-01025-w |
| 23 | A Nitsche method for the elastoplastic torsion problem | 2023 | Published | ESAIM: Mathematical modelling and numerical analysis | https://hal.science/hal-03891827 |
| 22 | Mortaring for linear elasticity using mixed and stabilized finite elements | 2023 | Published | Computer Methods in Applied Mechanics and Engineering | https://doi.org/10.1016/j.cma.2022.115796 |
| 21 | Mixed finite elements for Bingham flow in a pipe | 2022 | Published | Numerische Mathematik | https://doi.org/10.1007/s00211-022-01332-w |
| 20 | Stabilized finite elements for Tresca friction problem | 2022 | Published | ESAIM: Mathematical modelling and numerical analysis | https://doi.org/10.1051/m2an/2022048 |
| 19 | A simple technique for unstructured mesh generation via adaptive finite elements | 2021 | Published | Rakenteiden Mekaniikka | https://arxiv.org/pdf/2011.07919 |
| 18 | Nitsche's method for Kirchhoff plates | 2021 | Published | SIAM Journal on Scientific Computing | https://arxiv.org/pdf/2007.00403 |
| 17 | Nitsche's Master-Slave Method for Elastic Contact Problems | 2021 | Published | Numerical Mathematics and Advanced Applications ENUMATH 2019 | https://arxiv.org/pdf/1912.08279 |
| 16 | scikit-fem: A Python package for finite element assembly | 2020 | Published | Journal of Open Source Software | https://doi.org/10.21105/joss.02369 |
| 15 | On Nitsche's method for elastic contact problems | 2020 | Published | SIAM Journal on Scientific Computing | https://arxiv.org/pdf/1902.09312 |
| 14 | Numerical modelling of coupled linear dynamical systems | 2019 | Unpublished | https://arxiv.org/pdf/1911.04219 | |
| 13 | Nitsche's method for unilateral contact problems | 2019 | Published | Portugaliae Mathematica | https://arxiv.org/pdf/1805.04283 |
| 12 | Error analysis of Nitsche's mortar method | 2019 | Published | Numerische Mathematik | https://doi.org/10.1007/s00211-019-01039-5 |
| 11 | A stabilised finite element method for the plate obstacle problem | 2019 | Published | BIT Numerical Mathematics | https://doi.org/10.1007/s10543-018-0728-7 |
| 10 | An adaptive finite element method for the inequality-constrained Reynolds equation | 2018 | Published | Computer Methods in Applied Mechanics and Engineering | https://arxiv.org/pdf/1711.04274 |
| 9 | A posteriori estimates for conforming Kirchhoff plate elements | 2018 | Published | SIAM Journal on Scientific Computing | https://arxiv.org/pdf/1707.08396 |
| 8 | Three ways to compute multiport inertance | 2018 | Published | ANZIAM Journal | https://doi.org/10.21914/anziamj.v60i0.14058 |
| 7 | On finite element formulations for the obstacle problem – mixed and stabilised methods | 2017 | Published | Computational Methods in Applied Mathematics | |
| 6 | Mixed and stabilized finite element methods for the obstacle problem | 2017 | Published | SIAM Journal on Numerical Analysis | https://arxiv.org/pdf/1603.04257 |
| 5 | A posteriori analysis of classical plate elements | 2017 | Published | Rakenteiden Mekaniikka | https://doi.org/10.23998/rm.65004 |
| 4 | Nitsche’s method for the obstacle problem of clamped Kirchhoff plates | 2017 | Published | Numerical Mathematics and Advanced Applications ENUMATH 2017 | From research.aalto.fi |
| 3 | Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness | 2017 | Published | Computers & Mathematics with Applications | http://urn.fi/URN:NBN:fi:aalto-202106027151 |
| 2 | Nonlinear Reynolds equation for hydrodynamic lubrication | 2015 | Published | Applied Mathematical Modelling | https://arxiv.org/pdf/1502.05993 |
| 1 | A numerical study of the extended finite element method for linear elastic fracture mechanics | 2014 | Published | Rakenteiden Mekaniikka | From rmseura.tkk.fi |