A. Rieder

activity

20142024

most citedRunge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation

17 citations · 76 across the 18 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NA2023

On interpolation spaces of piecewise polynomials on mixed meshes

Michael Karkulik, Jens Markus Melenk, Alexander Rieder

We consider fractional Sobolev spaces $H^{θ}$ , $θ \in (0, 1)$ , on 2D domains and $H^{1}$ -conforming discretizations by globally continuous piecewise polynomials on a mesh consisting of s…

math.NA2023

FEM-BEM coupling in Fractional Diffusion

Markus Faustmann, Alexander Rieder

We derive and analyze a fully computable discrete scheme for fractional partial differential equations posed on the full space $R^{d}$ . Based on a reformulation using the w…

math.NA2023★ 1 cited

Fractional Diffusion in the full space: decay and regularity

Markus Faustmann, Alexander Rieder

We consider fractional partial differential equations posed on the full space $R^{d}$ . Using the well-known Caffarelli-Silvestre extension to $R^{d} \times R^{+}$ as equivalent defini…