Dynamic load balancing strategies for hierarchical p-FEM solvers
Ralf-Peter Mundani (1), Alexander D\"uster (1), Jovana Kne\v{z}evi\'c, (2), Andreas Niggl (3), Ernst Rank (1) ((1) Technische Universit\"at, M\"unchen, Munich, Germany, (2) University of Belgrade, Belgrade, Serbia, (3), SOFiSTiK AG, Oberschleissheim, Germany)

TL;DR
This paper explores dynamic load balancing strategies tailored for hierarchical p-FEM solvers, enhancing parallel efficiency in solving complex FEM discretized systems.
Contribution
It introduces novel dynamic load balancing methods specifically designed for hierarchical p-FEM solvers utilizing nested dissection techniques.
Findings
Improved parallel efficiency in p-FEM solvers.
Effective load balancing strategies for hierarchical systems.
Enhanced scalability on parallel architectures.
Abstract
Equation systems resulting from a p-version FEM discretisation typically require a special treatment as iterative solvers are not very efficient here. Applying hierarchical concepts based on a nested dissection approach allow for both the design of sophisticated solvers as well as for advanced parallelisation strategies. To fully exploit the underlying computing power of parallel systems, dynamic load balancing strategies become an essential component.
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