博士研究生岗位 F/M：面向百亿亿次计算系统高性能求解器的网格划分

This PhD project focuses on developing advanced methods for partitioning computational meshes in parallel finite element simulations, addressing issues such as inter-process communication costs in high-performance computing systems. The candidate will design and implement algorithms that improve load balancing and scalability of FEM computations for supercomputers.

任务： 有限元网格（FEM）模拟在现实应用中的使用需要并行计算。在这种情况下，作为第一步，计算网格必须被分配到多台计算机之间。网格划分的一个重要目标是在实现负载均衡的同时，降低进程间通信的开销。如果无法做到这一点，则会导致无法扩展的并行 FEM 模拟。当前最先进且主流的方法将网格划分视为图或超图划分问题，然后利用成熟的库来解决该问题。这些库的共同目标就是最小化进程间通信的总量。 然而，这并未准确反映当前系统中的进程间通信成本。这种差异在当今具有高度可变进程间通信成本的强层次化 HPC 拓扑结构中尤为明显。当前的网格划分算法需要重大改进，以在其底层优化过程中融入正确的目标，从而能够在当前及未来的超级计算机上实现可扩展的有限元计算。本博士研究将致力于开发一种新的网格/图/超图划分方法，通过采用真正能够反映实际通信开销的优化目标来实现这一目标。 主要工作内容： 该博士将设计、分析并实施网格划分算法，并与项目合作伙伴合作，在开源 FEniCS 框架中应用该算法 [会员链接]。

技能： 技术技能： 编程能力：精通 C++ 和 Python；具备并行编程模型（MPI、OpenMP 或 GPU 加速）经验者将更具优势。 图/超图划分：具备 METIS、ParMETIS、SCOTCH、KaHIP 或 Zoltan 等工具库的相关知识，将视为加分项。 FEM 框架：熟悉 FEniCS 或 deal.II 是加分项。 具备超计算环境相关经验。 合作能力：能够在多机构、跨学科团队中工作（包括学术界与研究实验室）。 沟通能力：清晰的技术写作与演讲能力（适用于论文、报告及开源文档）。 成功的关键： 对用于求解偏微分方程（PDEs）的有限元方法（FEM）的理解。 能够开发并分析针对网格、图及超图的新型算法。 熟悉现代高性能计算（HPC）架构（分布式内存、共享内存、GPU）。 愿意与国际合作伙伴合作，并将解决方案整合到开源框架中。

Benefits package: Subsidized meals Partial reimbursement of public transport costs Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.) Possibility of teleworking (90 days / year) and flexible organization of working hours Social, cultural and sports events and activities Access to vocational training Social security coverage Remuneration: 1st, 2nd and 3rd year: 2300 euros gross salary /month Apply for this position

Instruction to apply: Applications must be submitted online via the Inria website. Processing of applications submitted via other channels is not guaranteed. Defence Security : This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment. Recruitment Policy : As part of its diversity policy, all Inria positions are accessible to people with disabilities.