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Taiwan Mathematics School: Parallel Finite Element Method Using Supercomputer
09:10-17:00, February 21 - 25, 2020
R102, Astronomy-Mathematics Building, NTU

Kengo Nakajima (University of Tokyo)

Weichung Wang (National Taiwan University)

1. Background and Purpose:

This 5-day intensive class provides introduction to large-scale scientific computing using the most advanced massively parallel supercomputers. Topics cover:


  • Finite-Element Method (FEM)
  • Message Passing Interface (MPI)
  • Parallel FEM using MPI and OpenMP
  • Parallel Numerical Algorithms for Iterative Linear Solvers


Several sample programs will be provided and participants can review the contents of lectures through hands-on-exercise/practices using the Oakbridge-CX system at the University of Tokyo (https://www.cc.u-tokyo.ac.jp/en/supercomputer/obcx/service/).

Finite-Element Method is widely-used for solving various types of real-world scientific and engineering problems, such as structural analysis, fluid dynamics, electromagnetics, and etc. This lecture course provides brief introduction to procedures of FEM for 1D/3D steady-state heat conduction problems with iterative linear solvers and to parallel FEM. Lectures for parallel FEM will be focused on design of data structure for distributed local mesh files, which is the key issue for efficient parallel FEM. Introduction to MPI (Message Passing Interface), which is widely used method as "de facto standard" of parallel programming, is also provided.

Solving large-scale linear equations with sparse coefficient matrices is the most expensive and important part of FEM and other methods for scientific computing, such as Finite-Difference Method (FDM) and Finite-Volume Method (FVM). Recently, families of Krylov iterative solvers are widely used for this process. In this class, details of implementations of parallel Krylov iterative methods are provided along with parallel FEM.

Moreover, lectures on programming for multicore architectures will be also given along with brief introduction to OpenMP and OpenMP/MPI Hybrid Parallel Programming Model.

2. Course Outline:

Course web page


3. Registration

Please sign up here


4. Credit

Credit: 2


Contact: murphyyu@ncts.ntu.edu.tw

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