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Publications


Submitted
A35. A. Målqvist, A. Persson, T. Stillfjord, Multiscale differential Riccati equations for linear quadratic regulator problems, (Submitted)
A34. F. Hellman and A. Målqvist, Numerical homogenization of time-dependent diffusion, (Submitted)
A33. C. Engwer, P. Henning, A. Målqvist and D. Peterseim, Efficient implementation of the Localized Orthogonal Decomposition method, (Submitted)

2017
A32. A. Målqvist and A. Persson, Multiscale techniques for parabolic problems, to appear in Numer. Math. (pdf)
A31. D. Elfverson, M. G. Larson, and A. Målqvist, Multiscale methods for problems with complex geometry, to appear in Comput. Methods Appl. Mech. Engrg.(pdf)
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)
C14. 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)
C13. 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)
C12. D. Peterseim and A. Målqvist, Spectrum-preserving two-scale decompositions with applications to numerical homogenization and eigensolvers, Oberwolfach reports 10 (2013) (link)
C11. 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
C10. 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)
C09. M. G. Larson, A. Målqvist, and R. Söderlund, A variational multiscale method for Poissons equation on mixed form, Proceedings of ENUMATH 2011 (pdf)
C08. 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)

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

Events and presentations


2017
Grading committee at the PhD defence of Hanna Holmgren, Uppsala University, Sweden, 27th oct
Grading committee at the PhD defence of Cristina La Cognata, Linköping University, Sweden, 6th oct
SSF meeting, Stockholm, 8th jun
PhD defence of Fredrik Hellman, Uppsala University, Uppsala, Sweden, 19th may (phd)
Guest lecture at the Summer school in computational mathematical modeling, Kristineberg, Sweden, 28th apr (pres)
Visiting Aalto University, Helsinki, Finland, 19th-20th apr (pres 20/4)
Professorial inaugural lecture, University of Gothenburg, Göteborg, Sweden, 15th mar (pres)
Workshop on numerical inverse and stochastic homogenization, Hausdorff Research Institute for Mathematics, Bonn, Germany, 12th-17th feb (pres 13/2) (link)
2016
Opponent at the PhD defence of Erik Henningsson, University of Lund, Lund, Sweden, 25th nov (pres)
Licentiate defence of Gustav Kettil, Chalmers University of Technology, Göteborg, Sweden, 7th sep (lic)
Grading committee at the PhD defence of Josefin Ahlkrona, Uppsala University, Uppsala, Sweden, 3rd jun
Licentiate defence of Anna Persson, Chalmers University of Technology, Göteborg, Sweden, 27th may (lic)
SSF project meeting, University of Gothenburg, Göteborg, 13-14th apr
2015
PhD defence of Daniel Elfverson, Uppsala University, Uppsala, Sweden, 30th oct (phd)
SSF project meeting, Linköping University, Linköping, Sweden, 15th oct (pres)
Licentiate defence of Fredrik Hellman, Uppsala University, Uppsala, Sweden, 25th sep (lic)
ICIAM 15 conference, Beijing, China, 10th aug-14th aug (pres 13/8)
Discussion leader at Licentiate defence of Cornelia Jareteg, Chalmers University of Technology, Göteborg, Sweden, 8th jun
NordForsk project meeting, SIMULA, Oslo, Norway, 3rd jun (pres)
SSF project meeting, Umeå University, Umeå, Sweden, 20th-21st may (pres 20/5)
Visiting University of Sussex, Brighton, UK, 2nd-4th mar
Discussion leader at Licentiate defence of Erik Henningsson, Lund Univetsity, Lund, Sweden, 12th jan (pres)
2014
TDB Seminar, Uppsala University, Uppsala, Sweden, 10th sep (pres)
NA Seminar, Royal Institute of Technology, Stockholm, Sweden, 4th-5th sep (pres 4/9)
Grading committee at the PhD defence of Andreas Draganis, Chalmers University of Technology, Göteborg, Sweden, 3th sep
Workshop on Computational multiscale methods, Oberwolfach, Germany, 22nd-28th jun (pres 23/6)
NA Seminar, Lund University, Lund, Sweden, 14th-15th apr (pres 14/4)
SSF Project meeting, Stockholm, Sweden, 28th mar
Seminar at Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden, 21st mar (pres)
2013
Visiting University of Bonn, Bonn, Germany, 31st oct-1st nov
Discussion leader at Licentiate defence of Doghonay Arjmand, Royal Institute of Technology, Stockholm, Sweden, 11th oct
SIAM Geoscience conference, Padova, Italy, 17th-19th jun (pres 18/6)
Licentiate defence of Daniel Elfverson, Uppsala University, Uppsala, Sweden, 4th jun (lic)
Workshop on Numerical Upscaling, Oberwolfach, Germany, 10th-16th feb (pres 14/2)
2012
Grading committee at the PhD defence of Mahmoudreza Bazarganzadeh, Uppsala University, Uppsala, Sweden, 14th dec
Visiting Chalmers University of Technology, Göteborg, Sweden, 25th-29th oct
Visiting University of Wyoming, Laramie, Wyoming, USA, 20th sep-21th sep (pres 20/9)
Visiting Colorado State University, Fort Collins, Colorado, USA, 17th sep-10th oct (pres 24/9)
Visiting University of Munster, Munster, Germany, 26th jun-27th jun (pres 26/6)
China-Norway-Sweden workshop on Computational Mathematics, Nanjing, China, 28th may-31th may (pres 29/5)
2011
Grading committee at the PhD defence of Henrik Holst, Royal Institute of Technology, Stockholm, Sweden, 9th dec
Visiting Humboldt University, Berlin, Germany, 18th oct-20th oct (pres 19/10)
ENUMATH 11 conference, Leicester, UK, 5th sep-9th sep (pres 8/9)
Grading committee at the PhD defence of Murtazo Nazarov, Royal Institute of Technology, Stockholm, Sweden, 1st sep
ICIAM 11 conference, Vancouver, Canada, 18th jul-22th jul (pres 18/7)
1st opponent at the PhD defence of Carl Joachim Berdal Haga, SIMULA Research Laboratory, Oslo, Norway, 16-17th jun (pres 16/6) (pres 17/6)
Visiting Umeå University, Umeå, Sweden, 4th may-5th may
Grading committee at the PhD defence of David Heintz, Chalmers University of Technology, Göteborg, Sweden, 3rd mar
Grading committee at the PhD defence of Karin Kraft, Chalmers University of Technology, Göteborg, Sweden, 25th feb
2010
Docent (Habilitation) lecture, Uppsala University, Uppsala, Sweden, 2010-12-01, (pres)
China-Norway-Sweden workshop on Computational Mathematics, Bergen, Norway, 7th jun-11th jun (pres 19/6)
Visiting University of Wyoming, Laramie, Wyoming, USA, 29th may
Visiting Colorado State University, Ft. Collins, Colorado, USA, 20th apr-1st jun
2009
Visiting Colorado State University, Ft. Collins, Colorado, USA, 14th oct-18th oct
Visiting University of Wyoming, Laramie, Wyoming, USA, 12th oct-13th oct (pres 13/10)
Visiting Umeå University, Umeå, Sweden, 7th sep-8th sep
ENUMATH 09 conference, Uppsala, Sweden, 29th jun-3rd jul (pres 29/6)
Workshop on Computational Multiscale Methods, Oberwolfach, Germany, 14th jun-20th jun (pres 17/6)
SIAM conference on computational science and engineering, Miami, Florida, USA, 2nd mar-6th mar (pres 2/3)
2008
Visiting University of Leicester, Leicester, UK, 12th nov-16th nov (pres 13/11)
DqF workshop, Royal Institute of Technoloy, Stockholm, Sweden, 20th oct-21st oct(pres 20/10)
European Finite Element Fair, Chalmers University of Technology, Göteborg, Sweden, 30th may-31st may (pres 30/5)

2007
Discussion leader at the Licentiate defence of Fredrik Bengzon, Umeå University, Umeå, Sweden, 4th dec-5th dec
Visiting Colorado State University, Ft. Collins, Colorado, USA, 21st nov-24th nov
Visiting University of California San Diego, La Jolla, California, USA, 19th nov-21st nov
NA seminar, Royal Institute of Texhnology, Stockholm, Sweden, 2007-10-17, (pres)
TDB seminar, Uppsala University, Uppsala, Sweden, 2007-10-10, (pres)
ICIAM 07, ETH, Zurich, Switzerland, 16th jul-20th jul (pres 16/7,pres 18/7)
Visiting Colorado State University, Ft. Collins, Colorado, USA, 31st may-6th jun (pres 4/6)
SIAM conference on computational science and engineering, Costa Mesa, California, USA, 19th feb-23 feb (pres 19/2)

2006
Visiting Chalmers University of Technology, Göteborg, Sweden, 20th dec-9th jan (2006-2007) (pres 20/12)
CAM seminar at UCSD, La Jolla, California, USA, 2006-11-07, (pres)
2nd Multi-all workshop, Colorado State University, Ft. Collins, Colorado, USA, 26th sep-30th sep (pres 28/9)
Computational methods in water resources XVI, Copenhagen, Denmark, 19th jun-22nd jun (pres 22/6)
Visiting Chalmers University of Technology, Göteborg, Sweden, 20th may-18th jun (pres 31/5)
AtC Coupling Methods Workshop at Sandia National Labs, Albuquerque, New Mexico, USA, 20th mar-22th mar
Visiting Chalmers University of Technology, Göteborg, Sweden, 2nd jan-9th jan (pres 5/1)

2005
Working meeting at Sandia National Laboratories, Albuquerque, New Mexico, USA, 5th dec-7th dec (pres 6/12)
Visiting University of California San Diego, La Jolla, California, USA, 30th nov-3th dec (pres 1/12)
Seminar series at CSU, Ft. Collins, Colorado, USA, (pres 17/10, 24/10, 13/12)
Doctoral thesis defence, Göteborg, Sweden, 2005-09-30, (pres)
Multi-all workshop, Colorado State University, Ft. Collins, Colorado, USA, 5th sep-8th sep
Third M.I.T. Conference on Comp. Fluid and Solid Mech., Cambridge, Massachusetts, USA, 14th jun-17th jun (pres 14/6)
Visiting SINTEF Applied Mathematics ans SIMULA, Oslo, Norway, 2nd may-12th may (pres 12/5)

2004
Workshop on Multiscale Modeling, University of Oslo, Norway, 18th oct-20th oct (pres 18/10)
4th ECCOMAS conference, University of Jyväskylä, Finland, 24th jul-28th jul (pres 27/7)
UNICC conference, Göteborg, Sweden, 2004-05-27, (pres)
Licentiate thesis presentation, Göteborg, Sweden, 2004-05-07, (pres)
Conference on Multiscale Methods in Sci. and Engrg., University of Uppsala, Sweden, 26th jan-28th jan, (pres 27/11)

2002
X-th Summer School in Numerical Analysis, University of Durham, UK, 8th jul-12th jul

2001
Visiting Oxford University, Oxford, UK, jan-jun