Geodesic
Parallelisation of Multiscale-Based Grid Adaptation using Space-Filling Curves
Kolja Brix1 ; Silvia Sorana Melian1 ; Siegfried Müller1 ; Gero Schieffer2
1 Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany, e-mail: {brix,melian,mueller}@igpm.rwth-aachen.de
2 Lehrstuhl für Computergestützte Analyse Technischer Systeme, RWTH Aachen University, Steinbachstr. 53B, 52074 Aachen, Germany; e-mail: schieffer@cats.rwth-aachen.de
ESAIM. Proceedings, Tome 29 (2009), pp. 108-129.

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The concept of fully adaptive multiscale finite volume schemes has been developed and investigated during the past decade. By now it has been successfully employed in numerous applications arising in engineering. In order to perform 3D computations for complex geometries in reasonable CPU time, the underlying multiscale-based grid adaptation strategy has to be parallelised via MPI for distributed memory architectures. In view of a proper scaling of the computational performance with respect to CPU time and memory, the load of data has to be well-balanced and communication between processors has to be minimised. This has been realised using space-filling curves.
DOI : 10.1051/proc/2009058

Kolja Brix 1 ; Silvia Sorana Melian 1 ; Siegfried Müller 1 ; Gero Schieffer 2

1 Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Templergraben 55, 52056 Aachen, Germany, e-mail: {brix,melian,mueller}@igpm.rwth-aachen.de
2 Lehrstuhl für Computergestützte Analyse Technischer Systeme, RWTH Aachen University, Steinbachstr. 53B, 52074 Aachen, Germany; e-mail: schieffer@cats.rwth-aachen.de 
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     title = {Parallelisation of {Multiscale-Based} {Grid} {Adaptation} using {Space-Filling} {Curves}},
     journal = {ESAIM. Proceedings},
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Kolja Brix; Silvia Sorana Melian; Siegfried Müller; Gero Schieffer. Parallelisation of Multiscale-Based Grid Adaptation using Space-Filling Curves. ESAIM. Proceedings, Tome 29 (2009), pp. 108-129. doi : 10.1051/proc/2009058. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009058/

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