34 citations · 113 across the 11 of their papers we have counts for
3 papers · 1 filter
-Finite Elements for Fractional Diffusion
Dominik Meidner, Johannes Pfefferer, Klemens Schürholz +1
The purpose of this work is to introduce and analyze a numerical scheme to efficiently solve boundary value problems involving the spectral fractional Laplacian. The approach is ba…
Error estimates for Dirichlet control problems in polygonal domains
Thomas Apel, Mariano Mateos, Johannes Pfefferer +1
The paper deals with finite element approximations of elliptic Dirichlet boundary control problems posed on two-dimensional polygonal domains. Error estimates are derived for the a…
Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization
Harbir Antil, Johannes Pfefferer, Sergejs Rogovs
In this paper we introduce new characterizations of spectral fractional Laplacian to incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical cases with…