Advances on Mixed Finite Element Methods for Linear Elasticity - Part I of IV
For Part II, see MS-Th-E-31
For Part III, see MS-Fr-D-31
For Part IV, see MS-Fr-E-31

Date: August 13
Time: 13:30--15:30
Room: 405

(Note: Click title to show the abstract.)

Hu, Jun (Peking Univ.)
Zhang, Shangyou (Univ. of Delaware)

Abstract: The elasticity equations are solved in many scientific and engineering problems where the stress is often more important than the displacement. In this sense, the classical Hellinger--Reissner mixed formulation of the elasticity equations, where the stress tensor is sought in a symmetric H-div space and the displacement in an L2 space, is a natural and important variational formulation for this problem. The approximation of displacement can be taken in the space of discontinuous piecewise polynomials of some degree¡ªbut the approximation of the symmetric stress tensor is a long-standing, challenging, and surprisingly hard problem. As a matter of fact, ¡°four decades of searching for mixed finite elements for elasticity beginning in the 1960s did not yield any stable elements with polynomial shape functions¡±[D. N. Arnold, Proceedings of the International Congress of Mathematicians, Vol. I: Plenary Lectures and Ceremonies (2002), 137-157].

This minisymposium will gather about 16 world experts and young researchers to discuss the most recent advances in this challenging field as well as future directions for research.

An HDG method for linear elasticity with strong symmetric stresses
Qiu, Weifeng (City Univ. of Hong Kong)

Finite Element Approximations of H(div) Symmetric Tensors
Hu, Jun (Peking Univ.)

Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method
Xie, Xiaoping (Sichuan Univ.)

Conforming rectangular elements and nonconforming simplex elements for elasticity problem
Chen, Shao-chun (Zhengzhou 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