Axel Målqvist

Full Professor at Applied Mathematics and Statistics

My area of research is numerical solution of partial differential equations. In particular I am interested in multiscale and multiphysics problems.

Source: chalmers.se
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Showing 40 publications

2024

FINITE ELEMENT MODELLING OF LINEAR ROLLING CONTACT PROBLEMS

Luigi Romano, Axel Målqvist
Mathematical Modelling and Numerical Analysis. Vol. 58 (5), p. 1541-1579
Journal article
2024

Well-posedness and finite element approximation of mixed dimensional partial differential equations

Fredrik Hellman, Axel Målqvist, Malin Mosquera
BIT Numerical Mathematics. Vol. 64 (1)
Journal article
2024

Iterative method for large-scale Timoshenko beam models assessed on commercial-grade paperboard

Morgan Görtz, Gustav Kettil, Axel Målqvist et al
Computational Mechanics. Vol. In Press
Journal article
2024

ITERATIVE SOLUTION OF SPATIAL NETWORK MODELS BY SUBSPACE DECOMPOSITION

Morgan Görtz, Fredrik Hellman, Axel Målqvist
Mathematics of Computation. Vol. 93 (345), p. 233-258
Journal article
2024

Localized orthogonal decomposition for a multiscale parabolic stochastic partial differential equation

Annika Lang, Per Ljung, Axel Målqvist
Multiscale Modeling and Simulation. Vol. 22 (1), p. 205-229
Journal article
2024

Numerical homogenization of spatial network models

Fredrik Edelvik, Morgan Görtz, Fredrik Hellman et al
Computer Methods in Applied Mechanics and Engineering. Vol. 418
Journal article
2024

Super-localization of spatial network models

Moritz Hauck, Axel Målqvist
Numerische Mathematik. Vol. 156 (3), p. 901-926
Journal article
2023

Multiscale methods for solving wave equations on spatial networks

Morgan Görtz, Per Ljung, Axel Målqvist
Computer Methods in Applied Mechanics and Engineering. Vol. 410
Journal article
2022

A space-time multiscale method for parabolic problems

Per Ljung, Roland Maier, Axel Målqvist
Multiscale Modeling and Simulation. Vol. 20 (2), p. 714-740
Journal article
2022

An offline-online strategy for multiscale problems with random defects

Axel Målqvist, Barbara Verfürth
Mathematical Modelling and Numerical Analysis. Vol. 56 (1), p. 237-260
Journal article
2022

Finite element convergence for the time-dependent Joule heating problem with mixed boundary conditions

Max Jensen, Axel Målqvist, Anna Persson
IMA Journal of Numerical Analysis. Vol. 42 (1), p. 199-228
Journal article
2022

Network model for predicting structural properties of paper

Morgan Görtz, Gustav Kettil, Axel Målqvist et al
Nordic Pulp and Paper Research Journal. Vol. 37 (4), p. 712-724
Journal article
2021

Numerical upscaling for heterogeneous materials in fractured domains

Fredrik Hellman, Axel Målqvist, Siyang Wang
Mathematical Modelling and Numerical Analysis. Vol. 55, p. S761-S784
Journal article
2021

Numerical homogenization by localized orthogonal decomposition

Axel Målqvist, Daniel Peterseim
Book
2021

A generalized finite element method for the strongly damped wave equation with rapidly varying data

Per Ljung, Axel Målqvist, Anna Persson
Mathematical Modelling and Numerical Analysis. Vol. 55 (4), p. 1375-1403
Journal article
2021

A numerical multiscale method for fiber networks

Morgan Görtz, Gustav Kettil, Axel Målqvist et al
World Congress in Computational Mechanics and ECCOMAS Congress. Vol. 300
Paper in proceeding
2020

Numerical upscaling of perturbed diffusion problems

Fredrik Hellman, Tim Keil, Axel Målqvist
SIAM Journal of Scientific Computing. Vol. 42 (4), p. A2014-A2036
Journal article
2020

Numerical upscaling of discrete network models

Gustav Kettil, Axel Målqvist, Andreas Mark et al
BIT (Copenhagen). Vol. 60 (1), p. 67-92
Journal article
2020

A Multiscale Methodology for Simulation of Mechanical Properties of Paper

Gustav Kettil, Axel Målqvist, Andreas Mark et al
Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. Vol. 2020, p. 2795-2806
Paper in proceeding
2019

Numerical Homogenization of Elliptic PDEs with Similar Coefficients

Fredrik Hellman, Axel Målqvist
Multiscale Modeling and Simulation. Vol. 17 (2), p. 650-674
Journal article
2019

Efficient implementation of the localized orthogonal decomposition method

Christian Engwer, P. Henning, Axel Målqvist et al
Computer Methods in Applied Mechanics and Engineering. Vol. 350, p. 123-153
Journal article
2018

Multiscale techniques for parabolic equations

Axel Målqvist, Anna Persson
Numerische Mathematik. Vol. 138 (1), p. 191-217
Journal article
2018

Multiscale differential riccati equations for linear quadratic regulator problems

Axel Målqvist, Anna Persson, Tony Stillfjord
SIAM Journal of Scientific Computing. Vol. 40 (4), p. A2406-A2426
Journal article
2017

Multiscale methods for problems with complex geometry

Daniel Elfverson, Mats G Larson, Axel Målqvist
Computer Methods in Applied Mechanics and Engineering. Vol. 321, p. 103-123
Journal article
2017

Generalized finite element methods for quadratic eigenvalue problems

Axel Målqvist, Daniel Peterseim
Mathematical Modelling and Numerical Analysis. Vol. 51 (1), p. 147 - 163
Journal article
2017

Finite element convergence analysis for the thermoviscoelastic Joule heating problem

Axel Målqvist, Tony Stillfjord
BIT (Copenhagen). Vol. 57 (3), p. 787-810
Journal article
2017

A Generalized Finite Element Method for Linear Thermoelasticity

Axel Målqvist, Anna Persson
Mathematical Modelling and Numerical Analysis. Vol. 51 (4), p. 1145-1171
Journal article
2017

The finite element method for the time-dependent gross-pitaevskii equation with angular momentum rotation

P. Henning, Axel Målqvist
SIAM Journal on Numerical Analysis. Vol. 55 (2), p. 923-952
Journal article
2017

Contrast Independent Localization of Multiscale Problems

F. Hellman, Axel Målqvist
Multiscale Modeling and Simulation. Vol. 15 (4), p. 1325-1355
Journal article
2016

Multilevel Monte Carlo methods for computing failure probability of porous media flow systems

F. Fagerlund, F. Hellman, Axel Målqvist et al
Advances in Water Resources. Vol. 94, p. 498-509
Journal article
2016

A Multilevel Monte Carlo Method for Computing Failure Probabilities

D. Elfverson, F. Hellman, Axel Målqvist
SIAM-ASA Journal on Uncertainty Quantification. Vol. 4 (1), p. 312-330
Journal article
2016

Multiscale Mixed Finite Elements

Filip Hellman, P. Henning, Axel Målqvist
Discrete and Continuous Dynamical Systems - Series S. Vol. 9 (5), p. 1269-1298
Journal article
2015

Computation of eigenvalues by numerical upscaling

Axel Målqvist, Daniel Peterseim
Numerische Mathematik. Vol. 130 (2), p. 337-361
Journal article
2014

A localized orthogonal decomposition method for semi-linear elliptic problems

P. Henning, Axel Målqvist, Daniel Peterseim
Mathematical Modelling and Numerical Analysis. Vol. 48 (5), p. 1331-1349
Journal article
2014

Localized orthogonal decomposition techniques for boundary value problems

P. Henning, Axel Målqvist
SIAM Journal of Scientific Computing. Vol. 36 (4), p. A1609-A1634
Journal article
2014

Localization of elliptic multiscale problems

Axel Målqvist, Daniel Peterseim
Mathematics of Computation. Vol. 83 (290), p. 2583-2603
Journal article
2014

Uncertainty Quantification for Approximate p-Quantiles for Physical Models with Stochastic Inputs

Daniel Elfverson, Donald J. Estep, F. Hellman et al
SIAM-ASA Journal on Uncertainty Quantification. Vol. 2 (1), p. 826-850
Journal article
2014

Two-level discretization techniques for ground state computations of Bose-Einstein condensates

P. Henning, Axel Målqvist, Daniel Peterseim
SIAM Journal on Numerical Analysis. Vol. 52 (4), p. 1525-1550
Journal article
2005

Adaptive variational multiscale methods

Axel Målqvist
Doctoral thesis

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