We present a higher order stabilization-free virtual element method applied to plane elasticity problems. We utilize a serendipity approach to reduce the total number of degrees of freedom from the corresponding high-order approximations. The well-posedness of the problem is numerically studied via an eigenanalysis. The method is then applied to several benchmark problems from linear elasticity and we show that the method delivers optimal convergence rates in $L^2$ and energy seminorm that match theoretical estimates as well as the convergence rates from higher order virtual element methods.

翻译：我们提出了一个适用于飞机弹性问题的更高顺序的无稳定虚拟元素方法,我们采用稳妥性方法来减少相应的高阶近似值自由度的总数,这一问题的精密性是通过一个精密的基因分析进行数字研究,然后将这种方法应用于线性弹性的若干基准问题,我们表明,该方法提供了最佳汇合率,以2美元和能源半营养值计算,与理论估计值和高阶虚拟元素方法的汇合率相匹配。