Anna Persson

I am interested in numerical methods for solving partial differential equations. In particular, I work on finite element methods for equations with multiscale features. These equations arise in many interesting applications, e.g., when simulating physical behavior in heterogeneous media like composites and porous materials, in the study of metamaterials, in quantum physics, and much more!

Publications:

2023:

• On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in LOD spaces
  P. Henning, A. Persson
  SIAM Multiscale Model. Simul., 21(3):993–1011, 2023. doi:10.1137/22M1516300

2021:

• A generalized finite element method for the strongly damped wave equation with rapidly varying data
  P. Ljung, A. Målqvist, A. Persson
  ESAIM: Math. Model. Numer. Anal. 55(4):1375-1404. doi:10.1051/m2an/2021023

2020:

• Finite element convergence for the time-dependent Joule heating problem with mixed boundary conditions
  M. Jensen, A. Målqvist, A. Persson,
  To appear in IMA Journal of Numerical Analysis, doi: 10.1093/imanum/draa068.
• Computational homogenization of time-harmonic Maxwell's equations
  P. Henning, A. Persson,
  SIAM J. Sci. Comput., 42(3):B581–B607, 2020. doi: 10.1137/19M1293818.

2018:

• Multiscale differential Riccati equations for linear quadratic regulator problems
  A. Målqvist, A. Persson, T. Stillfjord,
  SIAM J. Sci. Comput., 40(4), A2406-A2426, 2018. doi: 10.1137/17M1134500
• Multiscale techniques for parabolic equations
  A. Målqvist, A. Persson,
  Numer. Math. 138(1):191-217, 2018. doi: 10.1007/s00211-017-0905-7

2017:

• A generalized finite element method for linear thermoelasticity
  A. Målqvist, A. Persson,
  ESAIM Math. Model. Numer. Anal. 51:1147-1171, 2017. doi: 10.1051/m2an/2016054.

2016:

• A multiscale method for linear elasticity reducing Poisson locking
  P. Henning, A. Persson,
  Comput. Methods Appl. Mech. Engrg., 310(4):156-171, 2016. doi: 10.1016/j.cma.2016.06.034