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A Methodology for Performance Modeling, Simulation and Validation of Parallel 3-D Finite Element Mesh Refinement with Tetrahedra

机译:用Tetrahedra进行并行3-D有限元网格细化的性能建模,仿真和验证的方法

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The development and implementation of parallel finite element methods is a complex and error-prone task that can benefit significantly by simulating models of them first. However, such simulations are useful only if they can be confirmed to accurately predict the performance of the parallel system being modeled. The purpose of this contribution is to present a methodology to validate a Petri Nets-based modeling and simulation approach for parallel 3-D unstructured mesh refinement. To meet this goal, a parallel mesh refinement model is implemented based on a detailed software prototype and parallel system architecture parameters in order to simulate the functionality and runtime behavior of the algorithm. Estimates for key performance measures are derived from these simulations and are validated with benchmark problem computations obtained using the actual parallel system. The potential benefits of using this methodology for designing high performance parallel mesh refinement algorithms are illustrated.
机译:并行有限元方法的开发和实现是一项复杂且容易出错的任务,可以通过首先模拟它们的模型来显着受益。但是,仅当可以确认此类模拟以准确预测要建模的并行系统的性能时,此类模拟才有用。该贡献的目的是提出一种方法,以验证基于Petri Nets的建模和仿真方法,以进行并行3-D非结构化网格细化。为了实现此目标,基于详细的软件原型和并行系统架构参数实现了并行网格细化模型,以模拟算法的功能和运行时行为。从这些模拟中得出关键性能指标的估计值,并使用使用实际并行系统获得的基准问题计算进行了验证。说明了使用这种方法设计高性能并行网格细化算法的潜在好处。

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