Publications

A Matrix-Free ILU Realization Based on Surrogates
Matrix-free techniques play an increasingly important role in large-scale simulations. Schur complement techniques and massively …
Daniel Drzisga, Andreas Wagner, Barbara Wohlmuth
PDF Cite DOI
Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts
Due to its significance in terms of wave phenomena a considerable effort has been put into the design of preconditioners for the …
Daniel Drzisga, Tobias Köppl, Barbara Wohlmuth
PDF Cite DOI
The surrogate matrix methodology: Accelerating isogeometric analysis of waves
The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in …
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
PDF Cite DOI
The surrogate matrix methodology: Accelerating isogeometric analysis of waves
Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids
Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data …
Daniel Drzisga, Ulrich Ruede, Barbara Wohlmuth
PDF Cite DOI
The surrogate matrix methodology: Low-cost assembly for isogeometric analysis
A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations …
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
PDF Cite DOI
The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis
A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale …
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
PDF Cite DOI
The surrogate matrix methodology: a priori error estimation
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. …
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
PDF Cite DOI
A stencil scaling approach for accelerating matrix-free finite element implementations
We present a novel approach to fast on-the-fly low order finite element assembly for scalar elliptic partial differential equations of …
Simon Bauer, Daniel Drzisga, Marcus Mohr, Ulrich Ruede, Christian Waluga, Barbara Wohlmuth
PDF Cite DOI
The HyTeG finite-element software framework for scalable multigrid solvers
In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular …
Nils Kohl, Dominik Thoennes, Daniel Drzisga, Dominik Bartuschat, Ulrich Ruede
PDF Cite DOI
On the Analysis of Block Smoothers for Saddle Point Problems
We discuss several Uzawa-type iterations as smoothers in the context of multigrid schemes for saddle point problems. A unified …
Daniel Drzisga, Lorenz John, Ulrich Ruede, Barbara Wohlmuth, Walter Zulehner
PDF Cite DOI
Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods
The computational complexity of naive, sampling-based uncertainty quantification for 3D partial differential equations is extremely …
Daniel Drzisga, Bjoern Gmeiner, Ulrich Ruede, Robert Scheichl, Barbara Wohlmuth
PDF Cite DOI
Hybrid parallel multigrid methods for geodynamical simulations
Even on modern supercomputer architectures, Earth mantle simulations are so compute intensive that they are considered grand challenge …
Simon Bauer, Hans-Peter Bunge, Daniel Drzisga, Bjoern Gmeiner, Markus Huber, Lorenz John, Marcus Mohr, Ulrich Ruede, Holger Stengel, Christian Waluga, Jens Weismueller, Gerhard Wellein, Markus Wittmann, Barbara Wohlmuth
Cite DOI
Numerical modeling of compensation mechanisms for peripheral arterial stenoses
The goal of this paper is to develop a numerical model for physiological mechanisms that help to compensate reduced blood flow caused …
Daniel Drzisga, Tobias Koeppl, Ulrich Pohl, Rainer Helmig, Barbara Wohlmuth
Cite DOI