12 citations · 35 across the 11 of their papers we have counts for
12 papers
A matrix-free ILU realization based on surrogates
Daniel Drzisga, Andreas Wagner, Barbara Wohlmuth
Matrix-free techniques play an increasingly important role in large-scale simulations. Schur complement techniques and massively parallel multigrid solvers for second-order ellipti…
Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts
Daniel Drzisga, Tobias Köppl, Barbara Wohlmuth
Due to its significance in terms of wave phenomena a considerable effort has been put into the design of preconditioners for the Helmholtz equation. One option to derive a precondi…
Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt +33
This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by a…
The surrogate matrix methodology: Accelerating isogeometric analysis of waves
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in Galerkin methods via element-scale quadratur…
The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA co…
Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids
Daniel Drzisga, Ulrich Rüde, Barbara Wohlmuth
Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data formats due to the significantly reduced memory c…
The surrogate matrix methodology: Low-cost assembly for isogeometric analysis
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionall…
The surrogate matrix methodology: a priori error estimation
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to…
A Scalable and Modular Software Architecture for Finite Elements on Hierarchical Hybrid Grids
Nils Kohl, Dominik Thönnes, Daniel Drzisga +2
In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular software architecture is carefully designed to exp…
A stencil scaling approach for accelerating matrix-free finite element implementations
Simon Bauer, Daniel Drzisga, Marcus Mohr +3
We present a novel approach to fast on-the-fly low order finite element assembly for scalar elliptic partial differential equations of Darcy type with variable coefficients optimiz…
On the analysis of block smoothers for saddle point problems
Lorenz John, Ulrich Rüde, Barbara Wohlmuth +1
In this article, we discuss several classes of Uzawa smoothers for the application in multigrid methods in the context of saddle point problems. Beside commonly used variants, such…
Scheduling massively parallel multigrid for multilevel Monte Carlo methods
Björn Gmeiner, Daniel Drzisga, Ulrich Ruede +2
The computational complexity of naive, sampling-based uncertainty quantification for 3D partial differential equations is extremely high. Multilevel approaches, such as multilevel…