PHG (Parallel Hierarchical Grid) is a general framework for developing parallel adaptive finite element method applications, which is currently under active development at State Key Laboratory of Scientific and Engineering Computing of Chinese Academy of Sciences. The key feature of PHG includes: bisection based conforming adaptive tetrahedral meshes, various finite element bases support and hp adaptivity, finite element code automatic generation, etc. PHG has an object oriented design which hides parallelization details and provides common operations on meshes and finite element functions in an abstract way, allowing the users to concentrate on their numerical algorithms. In this lecture, the main algorithms in PHG and the simulation of 3D seismic waves using PHG will be introduced. We will propose a new spectral element scheme for solving 3D seismic wave equations with perfectly matched layer and its implementation on today's heterogeneous computer like Tianhe-2A and Sunway Tiahu Light. Numerical experiments show that the new scheme is efficient and scalable.

崔涛, 成都市都江堰人, 中国科学院数学与系统科学研究院副研究员, 2010年获中国科学院数学与系统科学研究院理学博士学位, 2016年受“陈景润未来之星”特优人才计划资助。在高性能电磁场计算以及数据建模等领域拥有多年研究经验, 承担及参与国家重点研发计划项目、973计划项目、863计划项目及国家自然科学基金等多个项目。在集成电路参数提取问题数值模拟以及并行自适应有限元软件平台研制方面取得了显著的成果。在Numer. Math., SIAM, J. Sci. Computing, JCP等杂志上发表论文20余篇。