51 citations · 114 across the 4 of their papers we have counts for
5 papers
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems
Tobias Danczul, Clemens Hofreither, Joachim Schöberl
We present a unified framework to efficiently approximate solutions to fractional diffusion problems of stationary and parabolic type. After discretization, we can take the point o…
On Rational Krylov and Reduced Basis Methods for Fractional Diffusion
Tobias Danczul, Clemens Hofreither
We establish an equivalence between two classes of methods for solving fractional diffusion problems, namely, Reduced Basis Methods (RBM) and Rational Krylov Methods (RKM). In part…
Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
Clemens Hofreither, Stefan Takacs
We present a robust and efficient multigrid method for single-patch isogeometric discretizations using tensor product B-splines of maximum smoothness. Our method is based on a stab…
A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction
Clemens Hofreither, Stefan Takacs, Walter Zulehner
We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finit…
Convection-adapted BEM-based FEM
Clemens Hofreither, Ulrich Langer, Steffen Weißer
We present a new discretization method for homogeneous convection-diffusion-reaction boundary value problems in 3D that is a non-standard finite element method with PDE-harmonic sh…