@Article{AAMM-2-518,
author = {Solin , PavelDubcova , Lenka and Dolezel , Ivo},
title = {Adaptive $hp$-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {4},
pages = {518--532},
abstract = {<p style="text-align: justify;">Adaptive higher-order finite element methods ($hp$-FEM) are well known
for their potential of exceptionally fast (exponential) convergence. 
However, most $hp$-FEM codes remain in an academic setting due to an 
extreme algorithmic complexity of $hp$-adaptivity algorithms. This paper 
aims at simplifying $hp$-adaptivity for $H$(curl)-conforming
approximations by presenting a novel technique of arbitrary-level hanging 
nodes. The technique is described and it is 
demonstrated numerically that it makes adaptive $hp$-FEM more efficient 
compared to $hp$-FEM on regular meshes and meshes with one-level hanging nodes.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m1012},
url = {http://global-sci.org/intro/article_detail/aamm/8344.html}
}