%0 Journal Article
%T Generalized Time Integration Schemes for Space-Time Moving Finite Elements
%A Randolph E. Bank
%A Maximilian S. Metti
%J Mathematics
%D 2013
%I arXiv
%X In this paper, we analyze and provide numerical illustrations 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.
%U http://arxiv.org/abs/1310.7611v1