Format:
1 Online-Ressource (172 Seiten, 27725 KB)
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Illustrationen, Diagramme
Content:
Elliptic partial differential equations are ubiquitous in physics. In numerical relativity---the study of computational solutions to the Einstein field equations of general relativity---elliptic equations govern the initial data that seed every simulation of merging black holes and neutron stars. In the quest to produce detailed numerical simulations of these most cataclysmic astrophysical events in our Universe, numerical relativists resort to the vast computing power offered by current and future supercomputers. To leverage these computational resources, numerical codes for the time evolution of general-relativistic initial value problems are being developed with a renewed focus on parallelization and computational efficiency. Their capability to solve elliptic problems for accurate initial data must keep pace with the increasing detail of the simulations, but elliptic problems are traditionally hard to parallelize effectively. In this thesis, I develop new numerical methods to solve elliptic partial differential equations on ...
Note:
Dissertation Universität Potsdam 2022
Additional Edition:
Erscheint auch als Druck-Ausgabe Vu, Nils L. A task-based parallel elliptic solver for numerical relativity with discontinuous Galerkin methods Potsdam, 2022
Language:
English
Keywords:
Hochschulschrift
DOI:
10.25932/publishup-56226
URN:
urn:nbn:de:kobv:517-opus4-562265
URL:
https://d-nb.info/1270570374/34
Author information:
Brügmann, Bernd 1962-