Markus Faustmann

most citedFractional Diffusion in the full space: decay and regularity

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2023

Weighted analytic regularity for the integral fractional Laplacian in polyhedra

Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1

On polytopal domains in $R^{3}$ , we prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian with analytic right-hand 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…