New superconvergent structures developed from the finite volume element method in 1D
Numerical Analysis
2022-05-25 v1 Numerical Analysis
Abstract
New superconvergent structures are introduced by the finite volume element method (FVEM), which allow us to choose the superconvergent points freely. The general orthogonal condition and the modified M-decomposition (MMD) technique are established to prove the superconvergence properties of the new structures. In addition, the relationships between the orthogonal condition and the convergence properties for the FVE schemes are carried out in Table 1. Numerical results are given to illustrate the theoretical results.
Cite
@article{arxiv.2002.04006,
title = {New superconvergent structures developed from the finite volume element method in 1D},
author = {Xiang Wang and Junliang Lv and Yonghai Li},
journal= {arXiv preprint arXiv:2002.04006},
year = {2022}
}