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(2011.1.12 4:00pm,Z311)HYBRID FINITE VOLUME/FINITE ELEMENT METHODS FOR LINEAR ELASTICITY PROBLEMS
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Update time: 2011-01-10
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:
Prof. Xiaoping Xie,Mathematics, Sichuan University
Title:
HYBRID FINITE VOLUME/FINITE ELEMENT METHODS FOR LINEAR ELASTICITY PROBLEMS
Time:
2011.1.12 4:00pm
Venue:
Z311
Abstract:

This talk is to introduce a coupling approach of finite element and finite volume for linear elasticity problems. A hybrid stress quadrilateral finite element discretization is used for the constitutive equation with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress modes, and a finite volume formulation is used for the equilibrium equation. The resultant methods are free from Poisson locking in the sense that the error bounds in the a priori estimates are independent of the relevant Lame constant $\lambda$.Numerical experiments confirm the theoretical results.

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