Maier, Matthias Sebastian
individual record
Assistant Professor
Positions:
- Assistant Professor, Mathematics, College of Arts and Sciences
education and training
- Ph.D. in Mathematics (Summa cum Laude), Heidelberg University - (Heidelberg, Germany) 2015
selected publications
Academic Articles28
- Guermond, J., Kronbichler, M., Maier, M., Popov, B., & Tomas, I. (2021). On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. abs/2106.02159,
- Guermond, J., Maier, M., Popav, B., & Tomas, I. (2021). Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering. 375, 113608-113608.
- Maier, M., & Kronbichler, M. (2021). Efficient Parallel 3D Computation of the Compressible Euler Equations with an Invariant-domain Preserving Second-order Finite-element Scheme. ACM Transactions on Parallel Computing. 8(3), 1-30.
- Li, W., Lipton, R., & Maier, M. (2021). Lorentz resonance in the homogenization of plasmonic crystals. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477(2256), 20210609.
- Arndt, D., Bangerth, W., Davydov, D., Heister, T., Heltai, L., Kronbichler, M., ... Wells, D. (2021). The DEAL.II finite element library: Design, features, and insights. Computers and Mathematics with Applications. 81, 407-422.
- Li, W., Lipton, R., & Maier, M. (2020). Lorentz Resonance in the Homogenization of Plasmonic Crystals.
- Maier, M., Luskin, M., & Margetis, D. (2020). Finite-size effects in wave transmission through plasmonic crystals: A tale of two scales. Physical review B (PRB). 102(7), 075308.
- Maier, M., & Kronbichler, M. (2020). Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme.
- Margetis, D., Maier, M., Stauber, T., Low, T., & Luskin, M. (2020). Nonretarded edge plasmon-polaritons in anisotropic two-dimensional materials. Journal of Physics A: Mathematical and Theoretical. 53(5), 055201-055201.
- Maier, M., Margetis, D., & Mellet, A. (2020). Homogenization of time-harmonic Maxwell's equations in nonhomogeneous plasmonic structures. Journal of Computational and Applied Mathematics. 377, 112909-112909.
- Song, J. H., Maier, M., & Luskin, M. (2020). Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. Journal of Computational Physics. 423, 109871-109871.
- Arndt, D., Bangerth, W., Clevenger, T. C., Davydov, D., Fehling, M., Garcia-Sanchez, D., ... Wells, D. (2019). The deal.II library, Version 9.1. Journal of Numerical Mathematics. 27(4), 203-213.
- Maier, M., Mattheakis, M., Kaxiras, E., Luskin, M., & Margetis, D. (2019). Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect.. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 475(2230), 20190220-20190220.
- Song, J. H., Maier, M., & Luskin, M. (2019). Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets. Computer Methods in Applied Mechanics and Engineering. 351, 20-34.
- Alzetta, G., Arndt, D., Bangerth, W., Boddu, V., Brands, B., Davydov, D., ... Wells, D. (2018). The deal.II library, Version 9.0. Journal of Numerical Mathematics. 26(4), 173-183.
- Maier, M., Nemilentsau, A., Low, T., & Luskin, M. (2018). Ultracompact Amplitude Modulator by Coupling Hyperbolic Polaritons over a Graphene-Covered Gap. ACS Photonics. 5(2), 544-551.
- Maier, M., & Rannacher, R. (2018). A DUALITY-BASED OPTIMIZATION APPROACH FOR MODEL ADAPTIVITY IN HETEROGENEOUS MULTISCALE PROBLEMS. SIAM: Multiscale Modeling and Simulation. 16(1), 412-428.
- Maier, M., Margetis, D., & Luskin, M. (2018). GENERATION OF SURFACE PLASMON-POLARITONS BY EDGE EFFECTS. COMMUNICATIONS IN MATHEMATICAL SCIENCES. 16(1), 77-95.
- Maier, M., Mattheakis, M., Kaxiras, E., Luskin, M., & Margetis, D. (2018). Universal behavior of a dispersive Dirac cone in gradient-index plasmonic metamaterials. Physical review B (PRB). 97(3), 035307.
- Margetis, D., Maier, M., & Luskin, M. (2017). On the Wiener-Hopf Method for Surface Plasmons: Diffraction from Semiinfinite Metamaterial Sheet. Studies in Applied Mathematics. 139(4), 599-625.
- Arndt, D., Bangerth, W., Davydov, D., Heister, T., Heltai, L., Kronbichler, M., ... Wells, D. (2017). The deal. II library, version 8.5. Journal of Numerical Mathematics. 25(3), 137-145.
- Maier, M., Margetis, D., & Luskin, M. (2017). Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation. Journal of Computational Physics. 339, 126-145.
- Maier, M., & Rannacher, R. (2016). Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Journal of Numerical Mathematics. 24(3), 167-187.
- Maier, M., Bardelloni, M., & Heltai, L. (2016). LinearOperator-A generic, high-level expression syntax for linear algebra. Computers and Mathematics with Applications. 72(1), 1-24.
Conference Papers1
- Mattheakis, M., Maier, M., Boo, W. X., & Kaxiras, E. (2019). Graphene epsilon-near-zero plasmonic crystals. Proceedings of the Sixth Annual ACM International Conference on Nanoscale Computing and Communication. 1-6.
Repository Documents / Preprints7
- Guermond, J., Maier, M., & Tovar, E. (2024). A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations.
- Maier, M., Corraliza-Rodriguez, D., & Margetis, D. (2024). Dyakonov-Shur instability of electronic fluid: Spectral effect of weak magnetic field.
- Kronbichler, M., Maier, M., & Tomas, I. (2024). Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks.
- Guermond, J., Maier, M., Popov, B., Saavedra, L., & Tomas, I. (2023). Greedy invariant-domain preserving approximation for hyperbolic systems.
- Bezbaruah, M., Maier, M., & Wollner, W. (2023). Shape optimization of optical microscale inclusions.
software
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- Maier, M. S., & Tomas, I. deal.II step-69: A first-order hydrodynamics code for the compressible Euler equations 2020
researcher on
Principal Investigator1
recent teaching activities
- MATH291 Research Instructor
- MATH417 Numerical Methods Instructor
- MATH437 Princ Of Numerical Analy Instructor
- MATH442 Math Modeling Instructor
- MATH491 Research Instructor
Email
maier@tamu.edu
First Name
Matthias Sebastian
Last Name
Maier
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