Version actuelle en date du 1 février 2013 à 00:11

Advanced Boundary Element Methods for Wave Propagation

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
Academic Examples
Examples of applications in automotive and aeronautic industries
Mathematical basis
- The single and double layer distributions
- The jump formula
- Fourier transform: definition, main properties, causality
- Elementary solution: general concept, application to the Laplace operator in 3D, application to the Harmonic oscillator

@@ Ligne 1 : / Ligne 1 : @@
 = Advanced Boundary Element Methods for Wave Propagation =
-== Lecture 1: introduction (20/01/11)==
+== Lecture 1: introduction ==
 === Lecture overview ===
 * Useful references
@@ Ligne 15 : / Ligne 15 : @@
 ** Current research and future trends
 * Modeling
-* Examples of applications
+** acoustics
+** electromagnetics
+** elastodynamics
+* Important issues
+* Academic Examples
+* Examples of applications in automotive and aeronautic industries
+* Mathematical basis
+** The single and double layer distributions
+** The jump formula
+** Fourier transform: definition, main properties, causality
+** Elementary solution: general concept, application to the Laplace operator in 3D, application to the Harmonic oscillator