Application of C-Bézier Basis Function in Solving Steady Linear Elasticity Equations
The finite element method was used to deal with the steady linear elasticity equations,and the C-Bézier basis function was used as the shape function on the reference element of the elasticity equations.By selecting the appropriate shape parameters,the accuracy of the numerical solution was three orders of magnitude higher than that of the traditional Lagrange basis in Lf、L2 norm and 2~6 orders of magnitude higher in H1semi-norm.It sufficiently showed that C-Bézier basis has better approximation effect in simulating steady linear elasticity equations.
steady linear elasticity equationsfinite element methodC-Bézier basis functions