Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Xiaoping Xie,Mathematics, Sichuan University
HYBRID FINITE VOLUME/FINITE ELEMENT METHODS FOR LINEAR ELASTICITY PROBLEMS
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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