Mon, 22 Apr 2002
EGM 6351 Finite Element Methods, Spring 2002
Fri, 05 Apr 2002
NOTE: Please reload often
all web pages to your browser, since I am continuously adding new materials
to these web pages.
Software:
-
Matlab matters:
You develop your own FE analysis code using Matlab.
-
GiD: Mesh
generator and post-processor. You only need the free academic version
to generate the matrices of nodal coordinates and element connectivity,
and to do some postprocessing, after you do your FE analysis with your
own Matlab code for FE analysis.
-
dlearn:
Fortran computer code in the book by
Hughes [2000].
You would only look at this code for ideas, if necessary, to develop
your own matlab code for the course.
Additional remarks on lectures:
(in reverse chronological order)
Essentially, I am following more or less closely the detailed course
contents as taught in
EGM 6351 FEM Spring 2001; please refer to this web page often
to have a general idea on the progress of the course.
Any deviations from the course contents of Spring 2001
will be listed below
in the present web page.
Additional web-page reading related to the lectures:
Handouts:
Please download when ready.
-
Motivation for FEM: Wide range of applications.
A section in Burnett [1987].
Please download.
Mon, 14 Jan 2002
-
Finlayson & Scriven [1966]: A classic paper on the weighted residual
methods.
Please download.
Mon, 14 Jan 2002
-
Two tables showing the applications of the Poisson's equation in
various areas of engineering: electrostatics, magnetostatics, heat
tranfer, fluid mechanics, solid mechanics.
Please download.
Mon, 28 Jan 2002
-
The classification of linear equations of the second order (in n-dim
space),
Lecture 3 in
Sobolev [1964],
Partial Differential Equations of Mathematical Physics
Dover.
Please download.
Mon, 28 Jan 2002
-
Chap 2 (The electromagnetic field and Maxwell's equations) and
Chap 5 (Magnetodynamic Fields) in
Electromagnetics and Calculation of Fields
by Ida and Bastos, Springer Verlag, 1992.
Please download.
Mon, 28 Jan 2002
-
Methods of weighted residual from
Handbook of Differential Equations
by D. Zwillinger, 3rd edition, 1998.
Please download.
Mon, 5 Feb 2002
-
Laplace operator in 23 different coordinate systems, from
Handbook of Differential Equations
by D. Zwillinger, 3rd edition, 1998.
Please download.
Fri, 22 Feb 2002
-
On completeness of expansions for matrices and for functions from
Methods
of Mathematical Physics, Vol I, by Courant and Hilbert, 1957.
Please download.
Mon, 25 Feb 2002
-
Various handouts:
-
Strong and weak (FE) solutions of 1-D model problem, derivative in
generalized sense: Plots (2 pages)
-
FEM in fluid mechanics: My correspondence with
Olivier Pironneau
in 1990,
a relevant page from his book
The Finite Element Method for Fluids
-
Job ads from ANSYS: Electromagnetics and fluid mechanics
Please download.
Mon, 18 Mar 2002
-
Chapter 1 in the book
S.N. Atluri [2002], The Meshless Local Petrov-Galerkin (MLPG) Method, Tech Science Press, Encino, CA.
Please download.
Fri, 29 Mar 2002
-
On the Fundamental Lemma of Calculus of Variations in
Gelfand and Fomin [1963], Calculus of Variations, Prentice Hall.
Please download.
Wed, 10 Apr 2002
-
Examples of FE formulation and application in fluid mechanics:
Please download.
Wed, 10 Apr 2002
-
Properties of determinants in
Strang [1980], Linear Algebra and its Applications, 2nd edition,
Academic Press.
Please download.
Fri, 12 Apr 2002
-
Properties of inner products in
Kolmogorov and Fomin [1975],
Introduction to Real Analysis, Dover.
Please download.
Fri, 19 Apr 2002
Homework statements and due dates:
(Remember to set
your browser
to get the latest version of the documents at each click.)
-
HW1:
Please download the 3rd edition of the
Matlab Primer by the late UF math professor K. Sigmon, and reproduce
all numerical examples in this dodument to familiarize yourself with
Matlab. The 6th edition of the Matlab Primer is a book, which is
highly recommended (see Lecture 1 and
Matlab matters).
Due date:
Fri, 25 Jan 2002
-
HW2:
Please download.
Due date:
Mon, 4 Feb 02.
-
HW3:
Please download.
Be
creative
when you construct your FE meshes. Some creative FE meshes and
analysis results from a team in Spring 2001 (L. Grosset, N. N'Dri,
S. Regisford) are given below. The mesh was generated using GiD;
the FE analysis was done with their own Matlab code that they
developed in the course; the postprocessing for the temperature
contours was by using GiD.
Due date:
Mon, 11 Feb 02.
-
HW4:
Please download.
Due date:
Mon, 18 Feb 02.
-
HW5:
Please download.
Due date:
Mon, 25 Feb 02.
-
HW6:
Please download.
Due date:
Mon, 18 Mar 02.
-
HW7:
Please download.
Due date:
Mon, 25 Mar 02.
-
HW8:
Please download.
Due date:
Mon, 25 Mar 02.
-
HW10:
Please download.
Fri, 05 Apr 2002
Due date:
Mon, 15 Apr 02.
-
HW11:
Please download.
Fri, 05 Apr 2002
Due date:
Fri, 19 Apr 02.
[ Bio
|
Publications
|
Research
|
Teaching
]
Home page: Loc Vu-Quoc
E-mail: vu-quoc AT ufl.edu
MAE Department
