@Article{JCM-37-3,
author = {Randolph, E., Bank and S., Metti, Maximilian},
title = {A Diagonally-Implicit Time Integration Scheme for Space-Time Moving Finite Elements},
journal = {Journal of Computational Mathematics},
year = {2019},
volume = {37},
number = {3},
pages = {360--383},
abstract = {<p style="text-align: justify;">In this paper, we analyze and provide numerical experiments for a moving finite element
method applied to convection-dominated, time-dependent partial differential equations.
We follow a method of lines approach and utilize an underlying tensor-product
finite element space that permits the mesh to evolve continuously in time and undergo
discontinuous reconfigurations at discrete time steps. We employ the TR-BDF2 method as
the time integrator for piecewise quadratic tensor-product spaces, and provide an almost
symmetric error estimate for the procedure. Our numerical results validate the efficacy of
these moving finite elements.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1805-m2017-0102},
url = {https://global-sci.com/article/84414/a-diagonally-implicit-time-integration-scheme-for-space-time-moving-finite-elements}
}