Load Balancing for Parallel Computations with the Finite Element Method

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Auteur principal: José Luis González García
Format: Artículo científico
Langue:en
Publié: Instituto Politécnico Nacional 2013
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author José Luis González García
author_facet José Luis González García
contents Load Balancing for Parallel Computations with the Finite Element Method José Luis González García Ramin Yahyapour Andrei Tchernykh Computación FEM Load balancing HPC efficiency In this paper, we give an overview of efforts to improve current techniques of load-balancing and efficiency of finite element method (FEM) computations on large-scale parallel machines and introduce a multilevel load balancer to improve the local load imbalance. FEM is used to numerically approximate solutions of partial differential equations (PDEs) as well as integral equations. The PDEs domain is discretized into a mesh of information and usually solved using iterative methods. Distributing the mesh among theprocessors in a parallel computer, also known as the mesh-partitioning problem, was shown to be NP- complete. Many efforts are focused on graph- partitioning to parallelize and distribute the mesh of information. Data partitioning is important to efficiently execute applications in distributed systems. To address this problem, a variety of general-purpose libraries and techniques have been developed providing great effectiveness. But the load-balancing problem is not yet well solved. Today’s large simulations require new techniques to scale on clusters of thousands ofprocessors and to be resource aware due the increasinguse of heterogeneous computing architectures as found in many-core computer systems. Existing libraries and algorithms need to be enhanced to support more complex applications and hardware architectures. We present trends in this field and discuss new ideas and approaches that take into account the new emerging requirements. 2013 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61528316003 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.17
format Artículo científico
id redalyc_61528316003
institution Redalyc
language en
publishDate 2013
publisher Instituto Politécnico Nacional
spellingShingle Load Balancing for Parallel Computations with the Finite Element Method
José Luis González García
Computación
FEM
Load balancing
HPC efficiency
Load Balancing for Parallel Computations with the Finite Element Method José Luis González García Ramin Yahyapour Andrei Tchernykh Computación FEM Load balancing HPC efficiency In this paper, we give an overview of efforts to improve current techniques of load-balancing and efficiency of finite element method (FEM) computations on large-scale parallel machines and introduce a multilevel load balancer to improve the local load imbalance. FEM is used to numerically approximate solutions of partial differential equations (PDEs) as well as integral equations. The PDEs domain is discretized into a mesh of information and usually solved using iterative methods. Distributing the mesh among theprocessors in a parallel computer, also known as the mesh-partitioning problem, was shown to be NP- complete. Many efforts are focused on graph- partitioning to parallelize and distribute the mesh of information. Data partitioning is important to efficiently execute applications in distributed systems. To address this problem, a variety of general-purpose libraries and techniques have been developed providing great effectiveness. But the load-balancing problem is not yet well solved. Today’s large simulations require new techniques to scale on clusters of thousands ofprocessors and to be resource aware due the increasinguse of heterogeneous computing architectures as found in many-core computer systems. Existing libraries and algorithms need to be enhanced to support more complex applications and hardware architectures. We present trends in this field and discuss new ideas and approaches that take into account the new emerging requirements. 2013 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61528316003 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.17
title Load Balancing for Parallel Computations with the Finite Element Method
topic Computación
FEM
Load balancing
HPC efficiency
url https://www.redalyc.org/articulo.oa?id=61528316003