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About SIAM
The Society for Industrial and Applied Mathematics (SIAM) aims to advance the application of mathematics and computational science to engineering, industry, science, and society.

About the Chapter
The SIAM student chapter at the University of Illinois at Urbana-Champaign was created in the fall of 2006, is supported by the SIAM parent organization, and is a registered student organization at UIUC.

U of I SIAM Student Chapter Colloquium

Prof. Gerard Awanou (Department of mathematics, Northern Illinois University)

"Finite Elements for Symmetric Tensors in Three Dimensions"


  • Thursday 4/30/2009 at 3 pm
  • Siebel Center, Room 4403


In elasticity theory the stress tensor measures the response of an elastic body subjected to an external force. The symmetry of the stress tensor which expresses the conservation of angular momentum had remained a challenge for mixed finite element discretizations. Mixed finite elements are desirable because the stress tensor is computed directly and the equilibrium condition is satisfied. In this talk we present mixed methods for three dimensional elasticity problems which may be viewed as the three-dimensional analogues of the triangular Arnold-Winther elements. This is joint work with D. Arnold and R. Winther.

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Siebel Center for Computer Science
University of Illinois at Urbana-Champaign
201 N. Goodwin Ave.
Urbana, IL 61801

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