Schedule of ASEN 5519 Fall 2004: Topics in Multiphysics Modeling

Lecture	Date	Instructor	Lecture topics	Announcement	Lecture notes
Lec1	Wed Aug 25	Park	Introduction: Mulitphysics problems and motivations for partitioned modeling.		Lecture notes for 25 August
Lec2	Mon 30 Aug	Park	Principles of virtual work for single field problems and the classical method of Lagrange multipliers.		Lecture notes for 30 August
Lec3	W 01 Sept	Park	Review of the classical method of Lagrange multipliers- cont'd.		More on classical Lagrange multipliers
Monday 06 September - Labor Day and No Class!!
Lec4	W 08 Sept	Park	Introduction to Localized Lagrange multipliers.	Home #1 (due 20 Sept) , and Sample Matlab code.	Lecture notes for 08 September , and a Matlab example code
Lec5	Mon 13 Sept	Park	Frame concept for the method of localized Lagrange multipliers.		Lecture notes for 13 -22 Sept , and JAM article and IJNME article .
Lec6	W 15 Sept	Park	Principle of virtual work for coupled systems
Lec7	M 20 Sept	Park	The four-variable partitioned equations of motion for structures.	Home #2 (Due 11 Oct )	Matlab software for HW#2
Lec8	W 22 Sept	Park	The four-variable partitioned equations of motion for structures -cont'd.
Lec9	M 27 Sept	Park	Reduce-order modeling using the four-variable partitioned equations of motion for structures.		A paper fpr Lecture for 27- 29 September
Lec 10	W 29 Sept	Park	Reduced-order structural synthesis - cont'd
Lec 11	M 04 Oct	Park	Internal fluid-structure interactions	Prof. Ohayon's lecture on FSI	Lecture notes for 04-06 Oct.
Lec 12	W 06 Oct	Park	Internal fluid-structure interactions -- cont'd
Lec 13	M 11 Oct	Park	External fluid-structure interactions -- all about the external waves		First batch of Lecture notes for 11-18 Oct.
Lec 14	W 13 Oct	Park	External fluid-structure interactions -- Helmholtz's Formula
Lec 15	M 18 Oct	Park	External fluid-structure interactions -- Kirchhoff's Retarded Potential
Lec 16	W 20 Oct	Park	External fluid-structure interactions --Approximate Equations for Acoustics Fields
Lec 17	M 25 Oct	Park	Lagrangian Fluid Models		Lecture notes for 25 Oct - 02 Nov
Lec 18	W 27 Oct	Park	Smoothed Particle Hydrodynamics (SPH) Method
Lec 19	M 02 Nov	Park	Term Project	Term Project Topics (Due Dec 13)
Lec 20	W 04 Nov	Park	Introduction to Multi-Level Methods: What qualifies as a new method?		Lecture notes for 04 November
Lec 19	M 08 Nov	Park	Multigrid Method as a Multi-Level Method	Multiscale Paper by Markovic and Ibrahimbegovic	Tutorial: Part I by Prof. Briggs, and Tutorial: Part II by Prof. Briggs , and Multigrid Matlab example code
Lec 20	W 10 Nov	Park	Introduction to Multiscale Methods		Prof. W. K. Liu's lecture 1 Prof. W. K. Liu's lecture 2
Lec 19	M 15 Nov	Pajot	Optimization of MEMS Devices		Joe Pajot's Presentation
Lec 20	W 17 Nov	Ross	Structure-Fluid-Soil Interactions		Mike Ross's Presentation
Lec 19	M 22 Nov	Park	Basis Functions of Fourier series, FEM and Wavelets
Lec 20	W 24 Nov	Park	Wavelet Transform as a Multiscale Method		Fast Wavelet Transform, Fast Fourier Transform, Prof. G. Strang's American Scientist article, Prof. G. Strang's SIAM Review article
Lec 19	M 29 Nov	Park	Fourier Analysis of FEM		No lecture notes
Lec 20	W 01 Dec	Park	Non-matching interface grids		A localized method , A Sandia method