جهت دسترسی به کاربرگه ی زیر، از این لینک استفاده کنید. http://dl.pgu.ac.ir/handle/Hannan/78344
Title: Optimizing the performance of the spectral/hp element method with collective linear algebra operations
Keywords: Applied Mathematics; Mathematical Sciences;Engineering
Issue Date: 29-Jul-2016
1-Jul-2016
Publisher: Elsevier;Royal Academy Of Engineering
place: Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (E;Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (E;Engineering & Physical Science Research Council (E
Description: As computing hardware evolves, increasing core counts mean that memory bandwidth is becoming the deciding factor in attaining peak performance of numerical methods. High-order finite element methods, such as those implemented in the spectral/hp framework Nektar++, are particularly well-suited to this environment. Unlike low-order methods that typically utilize sparse storage, matrices representing high-order operators have greater density and richer structure. In this paper, we show how these qualities can be exploited to increase runtime performance on nodes that comprise a typical high-performance computing system, by amalgamating the action of key operators on multiple elements into a single, memorye!cient block. We investigate di↵erent strategies for achieving optimal performance across a range of polynomial orders and element types. As these strategies all depend on external factors such as BLAS implementation and the geometry of interest, we present a technique for automatically selecting the most e!cient strategy at runtime.
Other Identifiers: 0045-7825
http://hdl.handle.net/10044/1/37414
https://dx.doi.org/10.1016/j.cma.2016.07.001
EP/H000208/1
EP/I037946/1
AEDZ_P42726
AEDZ_P40009
EP/K038788/1
EP/K037536/1
EP/L000407/1
Type Of Material: Other
Appears in Collections:Faculty of Engineering

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