High Performance Finite Element Modeling – Part 2

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35 h
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  • Fee-based Certificate
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  • 7 Sequences
  • Advanced Level

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Course details

Syllabus

  • How to describe the Direct FEM Simulation (DFS) methodology, including adaptive error control, slip boundary condition,and turbulent dissipation
  • Methods for deriving stability estimates for the cG(1)cG(1) FEM applied to Navier-Stokes equations
  • How to account for general FEM-algorithms such as assembly, adaptvity, and local mesh refinement and have a basic understanding of their implementation in FEniCS-HPC
  • How to account for parallel data structures and algorithms for distributed memory architectures in a general FEM-framework and inspect their implementation in FEniCS-HPC: distributed computational mesh, ghost entities, distributed sparse linear and non-linear algebra, local mesh refinement by bisection for a distributed computational mesh, and general goal-oriented adaptive error control
  • Ways to estimate the performance of different parallel algorithms
  • How to use a general framework, such as FEniCS-HPC, to model and solve general PDE on a supercomputer, and specifically aerodynamics problems with DFS

Prerequisite

Basic knowledge of linear algebra and calculus is a prerequisite to understand the content and therefore strongly recommended. General knowledge of HPFEM01 is strongly recommended.

Instructors

Johan Jansson
Associate Professor
KTH Royal Institute of Technology

Johan Hoffman
Professor
KTH Royal Institute of Technology

Massimiliano Leoni
PhD Candidate
KTH Royal Institute of Technology

Laura Saavedra
Lecturer, UPM
Universidad Politécnica de Madrid Madrid

Margarida Moragues
Postdoc
BCAM, Basque Center for Applied Mathematics

Rahul Kumar
Postdoc
BCAM, Basque Center for Applied Mathematics

Frida Svelander
PhD student
KTH Royal Institute of Technology

Cem Degirmenci
PhD student and Visiting Fellow BCAM
KTH Royal Institute of Technology

Editor

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