An Introduction to Adaptive Finite Element Methods and Their
A-Posteriori Error Control
Carsten Carstensen (Humboldt-Universitat zu Berlin)
July 20-22, 2005
This short course provides an introduction to the a-posteriori
analysis in adaptive finite element methods with seccussively refined
meshes. The lectures assume only some knowledge on finite element
methods and the mathematical and algorithmical aspects of the
Galerkin scheme. A brief discussion on residuals and errors is
followed by a discussion of explicit and implicit error estimators
and their reliability and efficiency. The course ends with an
analysis of the error reduction properties in adaptive mesh-
refinement algorithms and gives an outlook on nonlinear problems
and mixed and nonstandard finite element methods. Numerical
examples and software will be included.
Information
The short course will begin at 10am on July 20 in LC 303B. Coffee and
snacks will be available in the Wyman Williams Room on the
4th floor of LeConte College beginning at 9:30 am.
Application Procedure
All participants must apply to attend the short course. Please fill out
and return the
application form .
There is no charge for this short course. (This short course is
being supported by funds from the Office of Research,
Dean Mary Anne Fitzpatrick, College of Arts and Sciences and
the Department of Mathematics, University of South Carolina.)
Housing
A block of dormitory suite-style rooms are available in Woodrow
from July 19 through 22.
Parking
If you are from out of town, here are
coarse, fine
and downtown Columbia maps to help
plan your route from the major interstates I-20, I-26, I-77.
Visitors to campus can park in the Pendleton Garage on the corner of
Pendleton and Pickens Streets. The visitors' entrance is on Pickens
Street. The garage has parking meters: 25 cents will give 37 1/2 minutes.
A free visitor parking permit can be supplied upon request.
Meals
No meals will be provided, however the on-campus dining facilities and
local establishments are located within easy walking distance. Information
will be available on site.