16th CISM-IUTAM Summer School on: Advanced Integral Equation Methods in Computational Mechanics
Invited Lecturers
- Marc Bonnet (Ecole Polytechnique - CNRS, Palaiseau Cedex, France)
- 6 lectures on: Background on BIE and BEM. Fast BIE solution techniques: review of BIE formulations; multipole expansions of fundamental solutions of elasticity; single-level and multi-level fast multipole methods; implementation details; overview of other fast solution methods (adaptive cross approximation, wavelets, kernel-independent approaches).
- Didier Clouteau (Ecole Centrale de Paris, Chatenay-Malabry cedex, France)
- 6 lectures on: Stochastic coupled FEM-BEM formulations: (i) random variables and random fields; (ii) BIE and BEM with random loads : the linear filtering theory; (iii) BIE with random boundary conditions, coupling of BEM with stochastic FEM; (iv) BIE in random media : mean field theory and radiative transfert, (v) BEM in random media: solution methods.
- Attilio Frangi (Politecnico di Milano, Milano, Italy)
- 6 lectures on: Fast integral equation techniques for Micro-Electro-Mechanical systems: a) capacitance analysis, b) gas flow in the continuum regime (Stokes model with stick and slip boundary conditions), c) free-molecular gas flow and bridging techniques. Fast BEM-FEM coupling for industrial applications in magnetostatics.
- Bojan B. Guzina (University of Minnesota, Minneapolis, MN , USA)
- 5 lectures on: Application of integral equation methods towards the development of a radically new suite of elastic-wave imaging methodologies, the so-called sampling or probing methods, designed to probe, in a point-wise fashion, the reference medium for hidden heterogeneities. The material will cover the necessary preliminaries on (visco-) elastic wave propagation and two such probing techniques, namely the topological sensitivity approach and the linear sampling method.
- Naoshi Nishimura (Kyoto University, Kyoto, Japan)
- 6 lectures on: The fundamentals and applications to fast boundary integral equation to methods for wave problems in mechanics. The topics covered include boundary integral equations in wave problems in mechanics, fast multipole method in wave problems, diagonal forms and error control, fast methods in time domain and periodic fast multipole methods for wave problems.
- Gregory J. Rodin (The University of Texas, Austin, Texas, USA)
- 6 lectures on: Various applications of integral equations to problems in micromechanics. The material will be presented for simpler conduction problems, while extensions to linearized equations of fluid and solid mechanics will be suggested as practice problems. Topics will range from classical problems to those developed very recently.