Stabilization-free serendipity virtual element method for plane elasticity

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