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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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