@Article{AAMM-1-201,
author = {Vejchodský , Tomáš and Šolín , Pavel},
title = {Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by $hp$-FEM},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {2},
pages = {201--214},
abstract = {<p style="text-align: justify;">We present a proof of the discrete maximum principle (DMP) for the
1D Poisson equation $−u&#39;&#39;=f$ equipped with mixed Dirichlet-Neumann boundary
conditions. The problem is discretized using finite elements of arbitrary lengths
and polynomial degrees ($hp$-FEM). We show that the DMP holds on all meshes
with no limitations to the sizes and polynomial degrees of the elements.</p>},
issn = {2075-1354},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/aamm/10174.html}
}