Geometric Transformation of Finite Element Methods: Theory and Applications
Geometric Transformation of Finite Element Methods: Theory and Applications
by M. Holst, M. Licht
Publisher: arXiv.org 2018
Number of pages: 21
Description:
We present a new technique to apply finite element methods to partial differential equations over curved domains. Our main result is that a recently developed broken Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove higher-order finite element convergence rates for the parametric problem.
Download or read it online for free here:
Download link
(300KB, PDF)