@Article{IJNAM-17-6,
author = {Zhou, Yanhui},
title = {A Class of Bubble Enriched Quadratic Finite Volume Element Schemes on Triangular Meshes},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {6},
pages = {872--899},
abstract = {<p style="text-align: justify;">In this work, we propose and analyze a class of bubble enriched quadratic finite volume
element schemes for anisotropic diffusion problems on triangular meshes. The trial function space
is defined as quadratic finite element space by adding a space which consists of element-wise bubble
functions, and the test function space is the piecewise constant space. For the class of schemes,
under the coercivity result, we proved that $|u − u_h|_1$ =&nbsp;$\mathcal{O}(h^2)$ and $‖u − u_h‖_0$ =&nbsp;$\mathcal{O}(h^3)$, where $u$ is the exact solution and $u_h$ is the bubble enriched quadratic finite volume element solution. The
theoretical findings are validated by some numerical examples.</p>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-18356},
url = {https://global-sci.com/article/83048/a-class-of-bubble-enriched-quadratic-finite-volume-element-schemes-on-triangular-meshes}
}