Recent Developments in Finite Element Methods for Variational Inequalities - Part I of II
For Part II, see MS-Mo-E-23

Date: August 10
Time: 13:30--15:30
Room: 208A

(Note: Click title to show the abstract.)

Nataraj, Neela (Indian Inst. of Tech. Bombay)
Gudi, Thirupathi (Indian Inst. of Sci., Bangalore)

Abstract: Variational inequalities have been playing a key role in
the modern scientific world. The theory of variational
inequalities provides a generalization of the theory of boundary
value problems and has applications in many fields like Applied
Mathematics, Mechanics, Theory of Control and so on. Unlike
variational equations, inequalities exhibit additional
singularities due to occurrence of free boundaries, which limit
the regularity of the solution. The study of computational methods
for variational inequalities thus offers more challenges. The
error analysis for the finite element methods of these problems
should also be derived under the limited regularity assumptions.
Adaptive finite element techniques are quite desirable for these
class of problems. We would like to discuss and exchange some of
the latest developments in the error analysis of finite element
methods for variational inequalities.

A reliable residual based a posteriori error estimator for a quadratic FEM for the obstacle problem
Gudi, Thirupathi (Indian Inst. of Sci., Bangalore)

A nonconforming finite element approximation for optimal control of the obstacle problem
Nataraj, Neela (Indian Inst. of Tech. Bombay)

Optimality and convergence of a standard adaptive conforming linear element method for an obstacle problem
Hu, Jun (Peking Univ.)

A posteriori error analysis for finite element methods for fourth order variational inequalities
Sung, Li-yeng (Louisiana State Univ.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA