Alexander Rieder
Institute for Analysis and Scientific ComputingTU Wien
Wiedner Hauptstraße 8-10
1040 Vienna, Austria
Contact
| Mail: | alexander.rieder@tuwien.ac.at |
| Office: | Room: DA 04 G 02 (Freihaus building, green section, 4th floor) |
| Mail: | alexander.rieder@tuwien.ac.at |
| Office: | Room: DA 04 G 02 (Freihaus building, green section, 4th floor) |
| 03/1989: | born in Bruneck/Brunico, Italy |
| 10/2008-10/2011: | Bachelor of Science in Mathematics, Technische Universität Wien |
| 10/2011-10/2013: | Master of Science in Mathematics, Technische Universität Wien |
| 09/2015-12/2015: | visiting L.Banjai, Heriot-Watt University Edinburgh, UK |
| 07/2016-09/2016: | visiting F-J. Sayas, University of Delaware , USA |
| 10/2013-06/2017 |
Phd student and Projektassistent, Technische Universität Wien, supervised by J.M. Melenk, funded by the Austrian Science Fund(FWF) as part of the Doctoral school "Dissipation and Dispersion in Nonlinear PDEs" |
| 10/2017-10/2019 |
Postdoc at Technische Universität Wien, part of the FWF special research program Taming Complexity in Partial Differential Systems |
| 10/2019-10/2021 |
Postdoc at the University of Vienna in the group of Ilaria Perugia |
| since 10/2021 |
University assistant (Postdoc) at the TU Wien |
| [1] |
Michael Karkulik, Jens Markus Melenk, and Alexander Rieder.
On interpolation spaces of piecewise polynomials on mixed meshes,
2023. [ arXiv ] |
| [2] |
Markus Faustmann and Alexander Rieder.
Fem-bem coupling in fractional diffusion, 2023. [ arXiv | http ] |
| [3] |
Markus Faustmann and Alexander Rieder.
Fractional diffusion in the full space: decay and regularity, 2023. [ DOI | http ] |
| [1] |
Alexander Rieder.
Double exponential quadrature for fractional diffusion.
Numer. Math., 153(2-3):359----410, 2023. [ DOI | arXiv | http ] |
| [2] |
Jens Markus Melenk and Alexander Rieder.
An exponentially convergent discretization for space–time
fractional parabolic equations using hp-FEM.
IMA Journal of Numerical Analysis, 10 2022.
drac045. [ DOI | arXiv | http ] |
| [3] |
Christoph Erath, Lorenzo Mascotto, Jens M. Melenk, Ilaria Perugia, and
Alexander Rieder.
Mortar coupling of hp-discontinuous Galerkin and boundary element
methods for the Helmholtz equation.
J. Sci. Comput., 92(1):Paper No. 2, 41, 2022. [ DOI | arXiv | http ] |
| [4] |
Alexander Rieder, Francisco-Javier Sayas, and Jens Markus Melenk.
Time domain boundary integral equations and convolution quadrature
for scattering by composite media.
Math. Comp., 91(337):2165--2195, 2022. [ DOI | arXiv | http ] |
| [5] |
Franz Achleitner, Christian Kuehn, Jens M. Melenk, and Alexander Rieder.
Metastable speeds in the fractional Allen-Cahn equation.
Appl. Math. Comput., 408:126329, 2021. [ DOI | arXiv | http ] |
| [6] |
Jens Markus Melenk and Alexander Rieder.
On superconvergence of Runge-Kutta convolution quadrature for the
wave equation.
Numer. Math., 147(1):157--188, 2021. [ DOI | arXiv | http ] |
| [7] |
Alexander Rieder, Francisco-Javier Sayas, and Jens Markus Melenk.
Rungekutta approximation for
c_0-semigroups in the
graph norm with applications to time domain boundary integral equations.
SN Partial Differential Equations and Applications, 1(6),
November 2020. [ DOI | arXiv | http ] |
| [8] |
Lorenzo Mascotto, Jens M. Melenk, Ilaria Perugia, and Alexander Rieder.
FEM-BEM mortar coupling for the Helmholtz problem in three
dimensions.
Comput. Math. Appl., 80(11):2351--2378, 2020. [ DOI | arXiv | http ] |
| [9] |
Jens Markus Melenk and Alexander Rieder.
hp-FEM for the fractional heat equation.
IMA Journal of Numerical Analysis, 04 2020.
drz054. [ DOI | arXiv | http ] |
| [10] |
Michael Karkulik, Jens Markus Melenk, and Alexander Rieder.
Stable decompositions of hp-BEM spaces and an optimal Schwarz
preconditioner for the hypersingular integral operator in 3D.
ESAIM Math. Model. Numer. Anal., 54(1):145--180, 2020. [ DOI | arXiv | http ] |
| [11] |
Tianyu Qiu, Alexander Rieder, Francisco-Javier Sayas, and Shougui Zhang.
Time-domain boundary integral equation modeling of heat transmission
problems.
Numer. Math., 143(1):223--259, 2019. [ DOI | arXiv | http ] |
| [12] |
Jens Markus Melenk and Alexander Rieder.
Runge-Kutta convolution quadrature and FEM-BEM coupling for the
time-dependent linear Schrödinger equation.
J. Integral Equations Appl., 29(1):189--250, 2017. [ DOI | arXiv | http ] |
| [13] |
Lehel Banjai and Alexander Rieder.
Convolution quadrature for the wave equation with a nonlinear
impedance boundary condition.
Mathematics of Computation, page 1, 2017. [ DOI | arXiv | http ] |
| [14] |
T. Führer, J. M. Melenk, D. Praetorius, and A. Rieder.
Optimal additive Schwarz methods for the hp-BEM: the
hypersingular integral operator in 3D on locally refined meshes.
Comput. Math. Appl., 70(7):1583--1605, 2015. [ DOI | arXiv | http ] |