HR job title
- Associate Professor
- Contact Info
- ORCiD
- 0000-0002-4960-5217
Maier, Matthias Sebastian Assistant Professor
Positions
- Assistant Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Research
- Teaching
- Background
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Overview
Publications
selected publications
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academic article
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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.
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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.
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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.
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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.
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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.
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Li, W., Lipton, R., & Maier, M.
(2020).
Lorentz Resonance in the Homogenization of Plasmonic Crystals
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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.
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Maier, M., & Kronbichler, M.
(2020).
Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Maier, M., Margetis, D., & Luskin, M.
(2018).
GENERATION OF SURFACE PLASMON-POLARITONS BY EDGE EFFECTS. COMMUNICATIONS IN MATHEMATICAL SCIENCES.
16(1), 77-95.
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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.
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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.
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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.
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Licht, M., & Maier, M.
(2017).
Flux Reconstruction for Goal-Oriented A Posteriori Error Estimation
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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.
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Maier, M., & Rannacher, R.
(2016).
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Journal of Numerical Mathematics.
24(3), 167-187.
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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.
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Bangerth, W., Davydov, D., Heister, T., Heltai, L., Kanschat, G., Kronbichler, M., ... Wells, D.
(2016).
The deal.II Library, Version 8.4. Journal of Numerical Mathematics.
24(3), 135-141.
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Bangerth, W., Heister, T., Heltai, L., Kanschat, G., Kronbichler, M., Maier, M. S., & Turcksin, B.
(2016).
The deal.II library, Version 8.3. Archive of Numerical Software.
4(100), 1-11.
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Bangerth, W., Heister, T., Heltai, L., Kanschat, G., Kronbichler, M., Maier, M. S., Turcksin, B., & Young, T.
(2015).
The dealii Library, Version 8.2. Archive of Numerical Software.
3(100), 1-8.
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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.
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conference paper
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Mattheakis, M., Maier, M., Boo, W. X., & Kaxiras, E.
(2019).
Graphene epsilon-near-zero plasmonic crystals. 1-6.
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Mattheakis, M., Maier, M., Boo, W. X., & Kaxiras, E.
(2019).
Graphene epsilon-near-zero plasmonic crystals. 1-6.
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institutional repository document
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Guermond, J., Maier, M., & Tovar, E.
(2024).
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
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Maier, M., Corraliza-Rodriguez, D., & Margetis, D.
(2024).
Dyakonov-Shur instability of electronic fluid: Spectral effect of weak magnetic field
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Kronbichler, M., Maier, M., & Tomas, I.
(2024).
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks
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Guermond, J., Maier, M., Popov, B., Saavedra, L., & Tomas, I.
(2023).
Greedy invariant-domain preserving approximation for hyperbolic systems
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Bezbaruah, M., Maier, M., & Wollner, W.
(2023).
Shape optimization of optical microscale inclusions
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Clayton, B., Guermond, J., Maier, M., Popov, B., & Tovar, E. J.
(2022).
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
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Maier, M., Shadid, J. N., & Tomas, I.
(2022).
Structure-preserving finite-element schemes for the Euler-Poisson equations
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Guermond, J., Maier, M., & Tovar, E.
(2024).
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
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software
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Maier, M. S., Bardelloni, M., & Heltai, L.
(2020).
LinearOperator Benchmarks, Version 1.0.0
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Maier, M. S., & Tomas, I.
(2020).
deal.II step-69: A first-order hydrodynamics code for the compressible Euler equations
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Maier, M. S., Bardelloni, M., & Heltai, L.
(2020).
LinearOperator Benchmarks, Version 1.0.0
Research
principal investigator on
Teaching
teaching activities
- MATH291 Research Instructor
- MATH417 Numerical Methods Instructor
- MATH437 Princ Of Numerical Analy Instructor
- MATH442 Math Modeling Instructor
- MATH491 Research Instructor
- MATH610 Num Meth In Diff Equa Instructor
- MATH639 Iterative Techniques Instructor
- MATH676 Fem In Scientific Comput Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Background
education and training
- Ph.D. in Mathematics (Summa cum Laude), Heidelberg University - (Heidelberg, Germany) 2015
Contact
first name
- Matthias Sebastian
has last name
- Maier
Other
- maier@tamu.edu