In this paper, we employ the techniques developed for second order operators to obtain the new estimates of Virtual Element Method for fourth order operators. The analysis is based on elements with proper shape regularity. Estimates for projection and interpolation operators are derived. Also, the biharmonic problem is solved by Virtual Element Method, optimal error estimates are obtained. Our choice of the discrete form for the right hand side function relaxes the regularity requirement in previous work and the error estimates between exact solutions and the computable numerical solutions are provided.

翻译：在本文中,我们使用为第二顺序操作员开发的技术,为第四顺序操作员获取虚拟元素方法的新估计值。分析基于有适当形状规律的要素。预测和内插操作员的估计值是推断出来的。此外,双调问题通过虚拟元素方法解决,获得最佳误差估计值。我们选择右手侧函数的离散形式可以放松先前工作中的规律性要求,提供了精确解决方案和可计算数字解决方案之间的误差估计值。