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Advanced Boundary Element Methods for Wave Propagation

Lecture 1: introduction

Lecture overview

• Useful references
  1. Jean-Claude Nédélec, « Acoustic and Electromagnetic Equations, Integral Representations for Harmonic Problems », Applied Mathematical Sciences 144, Springer.
  2. Isabelle Terrasse & Toufic Abboud, « Modélisation des phénomènes de propagation d’ondes », cours de l’école polytechnique.
• Presentation of the course
  • Introduction to the mathematical analysis of the diffraction problem
  • Integral representation theorem
  • Integral equations in the frequency domain
  • Boundary Element Method in the Frequency Domain (FD BEM)
  • Fast Multipole Method
  • Integral equations in the time domain - Time domain BEM
  • Current research and future trends
• Modeling
  • acoustics
  • electromagnetics
  • elastodynamics
• Important issues
• Examples of applications in automotive and aeronautic industries