Kolloquiumsvortrag, Dr. Peter Zaspel, Universität Heidelberg / am 09.12.2016

09.12.2016 von 14:15 bis 15:45

Institut für Informatik, Ludewig-Meyn-Straße 2, 24118 Kiel, Raum: Übungsraum 2/K

Titel: H-matrices on many-core hardware with applications in parametric PDEs

Abstract:

Hierarchical matrices approximate specific types of dense matrices,
e.g., from discretized integral equations, kernel-based approximation
and Gaussian process regression, leading to log-linear time complexity
in dense matrix-vector products. To be able to solve large-scale
applications, H-matrix algorithms have to be parallelized. A special
kind of parallel hardware are many-core processors, e.g. graphics
processing units (GPUs). The parallelization of H-matrices on many-core
processors is difficult due to the complex nature of the underlying
algorithms that need to be mapped to rather simple parallel operations.

We are interested to use these many-core processors for the full
H-matrix construction and application process. A motivation for this
interest lies in the well-known claim that future standard processors
will evolve towards many-core hardware, anyway. In order to be prepared
for this development, we want to discuss many-core parallel formulations
of classical H-matrix algorithms and adaptive cross approximations.

In the presentation, the use of H-matrices is motivated by the model
application of kernel-based approximation for the solution of parametric
PDEs, e.g. PDEs with stochastic coefficients. The main part of the talk
will be dedicated to the challenges of H-matrix parallelizations on
many-core hardware with the specific model hardware of GPUs. We propose
a set of parallelization strategies which overcome most of these
challenges. Benchmarks of our implementation are used to explain the
effect of different parallel formulations of the algorithms.

Prof. Steffen Börm

Diesen Termin meinem iCal-Kalender hinzufügen

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