论文标题
各向异性的虚拟元素方法的后验错误估计
Anisotropic a posteriori error estimate for the Virtual Element Method
论文作者
论文摘要
我们为适应性的二维椭圆问题的自适应符合虚拟元素近似的后验误差估计得出了各向异性A后验误差。特别是，我们介绍了一个准间隔操作员，并利用其近似结果来证明误差指标的可靠性。我们设计和实施相应的自适应多边形算法。与标准的各向同性网状细化方案相比，几种数值测试评估了所提出的算法的优越性。
We derive an anisotropic a posteriori error estimate for the adaptive conforming Virtual Element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we introduce a quasi-interpolant operator and exploit its approximation results to prove the reliability of the error indicator. We design and implement the corresponding adaptive polygonal anisotropic algorithm. Several numerical tests assess the superiority of the proposed algorithm in comparison with standard polygonal isotropic mesh refinement schemes.
