Matthias S. Maier

Research Interests

• Multiscale effects in Maxwell's Equations:
  surface plasmon-polaritons on 2D materials,
  plasmonic crystals
• Multiscale methods:
  heterogeneous multiscale methods and variational multiscale methods,
  asymptotic analysis and homogenization theory,
  model adaptation in context of multiscale methods
• Computational fluid dynamics:
  hyperbolic conservation laws
  compressible Euler and Navier-Stokes equations
  coupled Euler-Poisson and Euler-Maxwell systems
• Finite element methods and finite element software (deal.II)

Current and former students

• Nichakan Loesatapornpipit (Ph.D. program, 2025 —)
• Crystal Farris (Ph.D. program, 2024 —)
• David (Chris) Pecoraro (Ph.D. program, 2023 —)
• Brett Caldwell (Master program, 2022 — 2022)
• Jordan Hoffart (Ph.D. program, 2021 —)
• Manaswinee (Mansi) Bezbaruah (Ph.D. program, 2019 — 2025)
• Drew Macha (Master program, 2020 — 2021)
• Jung Heon (Gabriel) Song (Ph.D. program, University of Minnesota, 2015 — 2020)

Videos

• Videos of some recent computations are available on my Youtube channel

Software

• ryujin, a high-performance finite-element solver for the compressible Navier-Stokes and Euler equations
• Principal Developer, Finite Element Library deal.II
• Developer, Gentoo Linux