Convolution quadrature for the wave equation with a nonlinear impedance boundary condition L Banjai, A Rieder
Mathematics of Computation 87 (312), 1783-1819, 2018
25 2018 hp -FEM for the fractional heat equationJ Markus Melenk, A Rieder
IMA Journal of Numerical Analysis 41 (1), 412-454, 2021
19 2021 Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation JM Melenk, A Rieder
Journal of Integral Equations and Applications 29 (1), 189-250, 2017
19 2017 FEM–BEM mortar coupling for the Helmholtz problem in three dimensions L Mascotto, JM Melenk, I Perugia, A Rieder
Computers & Mathematics with Applications 80 (11), 2351-2378, 2020
18 2020 Time-domain boundary integral equation modeling of heat transmission problems T Qiu, A Rieder, FJ Sayas, S Zhang
Numerische Mathematik 143, 223-259, 2019
11 2019 Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes T Führer, JM Melenk, D Praetorius, A Rieder
Computers & Mathematics with Applications 70 (7), 1583-1605, 2015
10 2015 Metastable speeds in the fractional Allen–Cahn equation F Achleitner, C Kuehn, JM Melenk, A Rieder
Applied Mathematics and Computation 408, 126329, 2021
9 2021 On superconvergence of Runge–Kutta convolution quadrature for the wave equation JM Melenk, A Rieder
Numerische Mathematik 147 (1), 157-188, 2021
8 2021 Convolution Quadrature and Boundary Element Methods in wave propagation: a time domain point of view A Rieder
Technische Universität Wien, 2017
8 2017 Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D M Karkulik, JM Melenk, A Rieder
ESAIM: Mathematical Modelling and Numerical Analysis 54 (1), 145-180, 2020
7 2020 An exponentially convergent discretization for space–time fractional parabolic equations using hp -FEM J Markus Melenk, A Rieder
IMA Journal of Numerical Analysis 43 (4), 2352-2376, 2023
6 2023 Time domain boundary integral equations and convolution quadrature for scattering by composite media A Rieder, FJ Sayas, J Melenk
Mathematics of Computation 91 (337), 2165-2195, 2022
5 2022 Mortar Coupling of hp -Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation C Erath, L Mascotto, JM Melenk, I Perugia, A Rieder
Journal of Scientific Computing 92 (1), 2, 2022
5 2022 Runge–Kutta approximation for A Rieder, FJ Sayas, JM Melenk
SN Partial Differential Equations and Applications 1 (6), 49, 2020
4 2020 Double exponential quadrature for fractional diffusion A Rieder
Numerische Mathematik 153 (2), 359-410, 2023
3 2023 On interpolation spaces of piecewise polynomials on mixed meshes M Karkulik, JM Melenk, A Rieder
arXiv preprint arXiv:2306.16907, 2023
2 2023 FEM-BEM coupling in fractional diffusion M Faustmann, A Rieder
IMA Journal of Numerical Analysis, drae026, 2024
1 2024 Fractional diffusion in the full space: decay and regularity M Faustmann, A Rieder
arXiv preprint arXiv:2301.05503, 2023
1 2023 On interpolation spaces of piecewise polynomials on mixed meshes M Karkulik, JM Melenk, A Rieder
ESAIM: Mathematical Modelling and Numerical Analysis 59 (1), 231-264, 2025
2025 FEM-BEM coupling for the high-frequency Helmholtz problem JM Melenk, I Perugia, A Rieder
arXiv preprint arXiv:2407.04428, 2024
2024 