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Publications
Submitted
A52.
M. Hauck R. Maier, and A. Målqvist, An algebraic multiscale method for spatial network models, (arXiv)
A51.
L. Romano and A. Målqvist, Finite element modelling of linear rolling contact problems,
2024
A50.
M. Görtz, G. Kettil, A. Målqvist, M. Fredlund, and F. Edelvik, Iterative method for largescale Timoshenko beam models assessed on commercial-grade paperboard, to appear in Computational mechanics
A49.
M. Hauck and A. Målqvist,
Super-localization of spatial network models, to appear in Numer. Math. (arXiv)
A48.
A. Lang, P. Ljung, and A. Målqvist,
Localized orthogonal decomposition for a multiscale parabolic stochastic partial differential equation, Multi. Model. Simul. 22 (2024) (link)
A47.
F. Hellman, A. Målqvist, and M. Mosquera,
Well-posedness and finite element approximation of mixed dimensional partial differential equations, BIT 64 (2024) (link)
A46.
F. Edelvik, M. Görtz, F. Hellman, G. Kettil and A. Målqvist,
Numerical homogenization of spatial network models, Comput. Methods Appl. Mech. Engrg. 418 (2024) (link)
A45.
M. Görtz, F. Hellman, and A. Målqvist,
Iterative solution of spatial network models by subspace decomposition, Math. Comp. 93 (2024) 233-258 (link)
2023
A44.
M. Görtz, P. Ljung and A. Målqvist,
Multiscale methods for solving wave equations on spatial networks, Comput. Methods Appl. Mech. Engrg. 410 (2023) (link)
2022
A43.
M. Görtz, G. Kettil, A. Målqvist, M. Fredlund, K. Wester, and F. Edelvik,
Network models for predicting structural properties of paper, Nordic pulp and paper 37 (2022) 712-724 (link)
B06.
S. Larsson, A. Logg, and A. Målqvist, Matematisk analys och linjär algebra del II: integralkalkyl och ordinära differentialekvationer, Studentlitteratur, ISBN 9789144135007, 2022 (link)
A42.
P. Ljung, R. Maier, and A. Målqvist, A space-time multiscale method for parabolic problems, Multi. Model. Simul. 20 (2022) 714-740 (link)
A41.
A. Målqvist and B. Verfürth, An offline-online strategy for multiscale problems with random defects, ESAIM: Mathematical Modelling and Numerical Analysis 56 (2022) 237-260
(link)
A40.
M. Jensen, A. Målqvist, and A. Persson, Finite element convergence for the time-dependent Joule heating problem with mixed boundary conditions,
IMA J. Numer. Anal. 42 (2022) 199-228 (link)
2021
C18.
M. Görtz, G. Kettil, A. Målqvist, A. Mark and F. Edelvik, A numerical multiscale method for fiber networks, Proceedings of the14th WCCM-ECCOMAS Congress
(link)
A39.
P. Ljung, A. Målqvist, and A. Persson, A generalized finite element method for the strongly damped wave equation with rapidly varying data,
ESAIM: Mathematical Modelling and Numerical Analysis 55 (2021) 1375-1403 (link)
A38.
F. Hellman, A. Målqvist, and S. Wang, Numerical upscaling for heterogeneous materials in fractured domains,
ESAIM: Mathematical Modelling and Numerical Analysis 55 (2021) 761-784 (link)
2020
B05.
A. Målqvist and D. Peterseim, Numerical homogenization by localized orthogonal decomposition, SIAM Spotlights, ISBN: 978-1-611976-44-1, 2020 (link)
B04.
S. Larsson, A. Logg, and A. Målqvist, Matematisk analys och linjär algebra del I: differentialkalkyl och skalära ekvationer, Studentlitteratur, ISBN 9789144120294, 2020 (link)
A37.
F. Hellman, T. Keil, and A. Målqvist, Numerical upscaling of perturbed diffusion problems,
SIAM J. Sci. Comp. 42 (2020) A2014-A2036 (link)
A36.
G. Kettil, A. Målqvist, A. Mark, M. Fredlund, K. Wester, and F. Edelvik, Numerical upscaling of discrete network models,
BIT 60 (2020) 67-92 (link)
2019
C17.
F. Hellmen, A. Målqvist, and T. Keil, Multiscale methods for perturbed diffusion problems,
Oberwolfach reports 35 (2019) (pdf)
A35.
F. Hellman and A. Målqvist, Numerical homogenization of elliptic PDEs with similar coefficients, Multi. Model. Simul. 17 (2019) 650-674
(link)
A34.
C. Engwer, P. Henning, A. Målqvist and D. Peterseim, Efficient implementation of the Localized Orthogonal Decomposition method, Comput. Methods Appl. Mech. Engrg. 350 (2019) 123-153 (link)
2018
C16.
G. Kettil, A. Målqivst, A. Mark, F. Edelvik, M. Fredlund, K.
Wester,
A multiscale methodology for simulation of mechanical properties
of paper, conference proceeding 6th European Conference on Computational
Mechanics, Glasgow, UK (2018)
A33.
A. Målqvist, A. Persson, and T. Stillfjord, Multiscale differential Riccati equations for linear quadratic regulator problems, SIAM J. Sci. Comp. 40 (2018) A2406-A2426
(link)
A32.
A. Målqvist and A. Persson, Multiscale techniques for parabolic problems, Numer. Math. 138 (2018) 191-217
(link)
2017
A31.
D. Elfverson, M. G. Larson, and A. Målqvist, Multiscale methods for problems with complex geometry,
Comput. Methods Appl. Mech. Engrg. 321 (2017) 103-123 (link)
A30.
F. Hellman and A. Målqvist, Contrast independent localization of multiscale problems, Multi. Model. Simul. 15 (2017) 1325-1355 (link)
A29.
A. Målqvist and T. Stillfjord, Finite element convergence analysis for the thermoviscoelastic Joule heating problem, BIT 57 (2017) 787-810
(link)
A28.
A. Målqvist and A. Persson, A generalized finite element method for linear thermoelasticity, ESAIM: Mathematical Modelling and Numerical Analysis 51 (2017) 1147-1171
(link)
A27.
P. Henning and A. Målqvist, The Finite Element Method for the instationary Gross-Pitaevskii equation with angular momentum rotation, SIAM J. Numer. Anal. 55 (2017) 923-952
(link)
A26.
A. Målqvist and D. Peterseim, Generalized finite element methods for quadratic eigenvalue problems, ESAIM: Mathematical Modelling and Numerical Analysis 51 (2017) 147-163
(link)
2016
A25.
F. Fagerlund, F. Hellman, A. Målqvist and A. Niemi, Multilevel Monte Carlo methods for computing failure probability of porous media flow systems,
Adv. Water Res. 94 (2016) 498-509 (link)
A24.
F. Hellman, P. Henning, and A. Målqvist, Multiscale mixed finite elements, Discrete and Continuous Dynamical Systems
9 (2016) 1269-1298 (link)
A23.
D. Elfverson, F. Hellman, and A. Målqvist, A multilevel Monte Carlo method for computing failure probabilities, SIAM/ASA J. on Uncertainty Quantification 4 (2016) 312-330
(link)
2015
A22.
A. Målqvist and D. Peterseim, Computation of eigenvalues by numerical upscaling, Numer. Math. 130 (2015) 337-361
(link)
2014
A21.
D. Elfverson, D. Estep, F. Hellman, and A. Målqvist, Uncertainty quantification for approximate p-quantiles
for physical models with stochastic inputs, SIAM/ASA J. on Uncertainty Quantification 2 (2014) 826-850
(link)
C15.
P. Henning, A. Målqvist, and D. Peterseim, Two-level discretization for the Gross-Pitaevskii eigenvalue problem
with a rough potential,
Oberwolfach reports 30 (2014) (pdf)
C14.
A. Målqvist and D. Peterseim, Multiscale techniques for solving quadratic eigenvalue problems,
Oberwolfach reports 30 (2014) (pdf)
A20.
P. Henning and A. Målqvist, Localized orthogonal decomposition techniques for boundary value problems,
SIAM J. Sci. Comp. 36 (2014) A1609-A1634 (link)
A19.
P. Henning, A. Målqvist, and D. Peterseim, Two-level discretization techniques for ground state computations of Bose-Einstein condensates,
SIAM J. Numer. Anal. 52 (2014) 1525-1550 (link)
A18.
P. Henning, A. Målqvist, and D. Peterseim,
A localized orthogonal decomposition method for semi-linear elliptic problems,
ESAIM: Mathematical Modelling and Numerical Analysis 48 (2014) 1331-1349 (link)
A17.
A. Målqvist and D. Peterseim,
Localization of elliptic multiscale problems, Math. Comp. 83 (2014) 2583-2603
(link)
2013
A16.
D. Elfverson, E. Georgoulis, A. Målqvist, and D. Peterseim,
Convergence of a
discontinuous Galerkin multiscale method, SIAM J. Numer. Anal. 51 (2013) 3351-3372 (link)
A15.
D. Elfverson, E. Georgoulis, and A. Målqvist,
An adaptive discontinuous Galerkin multiscale method for
elliptic problems, Multi. Model. Simul. 11 (2013) 747-765
(link)
C13.
D. Peterseim and A. Målqvist,
Spectrum-preserving two-scale decompositions with applications to
numerical homogenization and eigensolvers,
Oberwolfach reports 10 (2013) (link)
C12.
A. Målqvist and D. Peterseim,
Numerical upscaling of eigenvalue problems, Oberwolfach reports 10 (2013) (link)
A14.
M. Jensen and A. Målqvist,
Finite element convergence for the Joule heating
problem with mixed boundary conditions,
BIT 53 (2013) 475-496
(link)
2012
C11.
D. Elfverson and A. Målqvist,
Finite element multiscale methods for Poisson's equation with rapidly varying
heterogeneous coefficient,
to appear in Proceedings of the 10th
World Congress on Computational Mechanics
(pdf)
C10.
M. G. Larson, A. Målqvist, and R. Söderlund,
A variational multiscale method for
Poissons equation on mixed form, Proceedings of ENUMATH 2011
(pdf)
C09.
A. Målqvist and D. Peterseim,
Finite element discretization of multiscale elliptic problems, Oberwolfach Reports 9 (2012) (pdf)
A13.
D. Estep, M. J. Holst, and A. Målqvist,
Nonparametric density estimation for randomly perturbed elliptic problems III: Convergence, complexity, and
generalizations, J. Appl. Math. Comp. 38 (2012) 367-387
(link)
2011
A12.
A. Målqvist,
Multiscale methods for elliptic problems, Multi. Model. Simul. 9 (2011) 1064-1086
(link)
A11.
M. G. Larson and A. Målqvist,
A posteriori error estimates for mixed finite element approximations of parabolic problems,
Numer. Math. 118 (2011) 33-48 (link)
C08.
A. Målqvist, A priori error analysis of a multiscale method, (preprint)
2010
A10.
M. J. Holst, M. G. Larson, A. Målqvist, and R. Söderlund,
Convergence analysis of finite element approximations of the Joule
heating problem in three spatial dimensions,
BIT 50 (2010) 781-795
(link)
A09.
M. Presho, A. Målqvist, and V. Ginting,
Density estimation of multi-phase flow with multiscale
and randomly perturbed data, Adv. Water Res. 33 (2010) 1130-1141
(link)
B03.
G. Kreiss, P. Lötstedt, A. Målqvist, and M. Neytcheva,
Numerical Mathematics and Advanced Applications,
Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications,
Uppsala, Sweden, Springer Verlag, 2010, (ed.) (link)
A08.
V. Ginting, A. Målqvist, and M. Presho,
A novel method for solving multiscale elliptic problems with randomly perturbed data,
Multi. Model. Simul. 8 (2010) 977-996 (link)
2009
C07.
A. Målqvist,
Adaptive variational multiscale methods, Oberwolfach reports 29 (2009) 1627-1629 (link)
A07.
D. Estep, A. Målqvist, and S. Tavener,
Nonparametric density estimation for randomly perturbed elliptic problems II: applications and adaptive modeling, Int. J. Numer. Methods Engrg. 80 (2009) 846-867 (link)
A06.
M. G. Larson and A. Målqvist,
A mixed adaptive variational multiscale method with applications in oil reservoir simulation,
Math. Models Methods Appl. Sci. 19 (2009) 1017-1042 (link)
A05.
D. Estep, A. Målqvist, and S. Tavener,
Nonparametric density estimation for randomly perturbed elliptic problems I: computational method, a posteriori analysis, and adaptive error control, SIAM J. Sci. Comp., 31 (2009) 2935-2959 (link)
A04.
M. G. Larson and A. Målqvist,
Adaptive variational multiscale method of convection-diffusion problems,
Comm. Num. Methods Engrg. 25 (2009) 65-79 (link)
2008
C06
M. G. Larson and A. Målqvist,
Adaptive variational multiscale methods, Proc. of 21st Nordic seminar on computational mechanics, 2008, Trondheim, Norway
(pdf)
A03.
M. G. Larson and A. Målqvist,
A posteriori error estimates for mixed finite element approximations of elliptic problems, Numer. Math. 108 (2008) 487-500 (link)
2007
C05.
D. Estep, A. Målqvist, and S. Tavener,
Numerical analysis and adaptive computation for solutions of elliptic problems with randomly perturbed coefficients, Proc. Appl. Math. Mech. 7, 1140401-1140402 (2007) (link)
A02.
M. G. Larson and A. Målqvist,
Goal oriented adaptivity for coupled flow and transport
problems with applications in oil reservoir simulation,
Comput. Methods Appl. Mech. Engrg. 196 (2007) 3546-3561 (link)
A01.
M. G. Larson and A. Målqvist,
Adaptive variational multiscale methods based on a posteriori error estimation: Energy norm estimates for elliptic problems, Comput. Methods Appl. Mech. Engrg. 196 (2007) 2313-2324 (link)
2006
C04.
M. G. Larson and A. Målqvist,
A symmetric mixed adaptive variational multiscale method, Proceedings of XVI International Conference on Computational Methods in Water Resources, 2006, Copenhagen (link)
2005
C03.
M. G. Larson and A. Målqvist,
Adaptive variational multiscale methods for elliptic problems,
Proceedings of the third M.I.T. conference on Computational Fluid and
Solid Mechanics, 2005, Cambridge, MA, USA (pdf)
C02.
M. G. Larson and A. Målqvist,
Adaptive variational multiscale methods based on a posteriori error
estimation: Duality techniques for elliptic problems,
Lecture Notes in
Computational Science and Engineering, B. Engquist, P. Lötstedt, O.
Runborg (eds.) Vol. 44,
181-193, 2005.
B02.
A. Målqvist,
Adaptive variational multiscale methods
(PhD thesis) 2005
2004
C01.
M. G. Larson and A. Målqvist,
Adaptive variational multiscale methods based on a posteriori error
estimation, Proceedings of ECCOMAS 2004 conference, Jyväskylä, Finland (link)
B01.
A. Målqvist,
On adaptive finite element methods based on a posteriori error estimates
(Lic. thesis) 2004
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