Version du 21 janvier 2011 à 10:21

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
Examples of applications

@@ Ligne 6 : / Ligne 6 : @@
 *#Jean-Claude Nédélec, « [http://books.google.fr/books?id=NABGVMOHBqEC&printsec=frontcover&dq=Acoustic+and+Electromagnetic+Equations,+Integral+Representations+for+Harmonic+Problems&source=bl&ots=rhePtnlHUl&sig=rXUBozN7kFiqliSana81RkMhzPI&hl=fr&ei=k1w5TYWVEIat8QO-u9WuCA&sa=X&oi=book_result&ct=result&resnum=2&ved=0CCUQ6AEwAQ#v=onepage&q&f=false Acoustic and Electromagnetic Equations, Integral Representations for Harmonic Problems] », Applied Mathematical Sciences 144, Springer.
 *# Isabelle Terrasse & Toufic Abboud, « [http://catalogue.polytechnique.fr/site.php?id=123 Modélisation des phénomènes de propagation d’ondes] », cours de l’école polytechnique.
-* Overview of the course
+* 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
 * Examples of applications