2 papers
math.NA2022
On a novel numerical quadrature based on cycle index of symmetric group for the Hadamard finite-part integrals
Jiajie Yao, Congcong Xie
To evaluate the Hadamard finite-part integrals accurately, a novel interpolatory-type quadrature is proposed in this article. In our approach, numerical divided difference is utili…
math.NA2018
Superconvergent Gradient Recovery for Virtual Element Methods
Hailong Guo, Cong Xie, Ren Zhao
Virtual element methods is a new promising finite element methods using general polygonal meshes. Its optimal a priori error estimates are well established in the literature. In th…