A Space-Time DPG Method for the Heat Equation
Numerical Analysis
2021-06-18 v2 Numerical Analysis
Abstract
This paper introduces an ultra-weak space-time DPG method for the heat equation. We prove well-posedness of the variational formulation with broken test functions and verify quasi-optimality of a practical DPG scheme. Numerical experiments visualize beneficial properties of an adaptive and parabolically scaled mesh-refinement driven by the built-in error control of the DPG method.
Keywords
Cite
@article{arxiv.2012.13229,
title = {A Space-Time DPG Method for the Heat Equation},
author = {Lars Diening and Johannes Storn},
journal= {arXiv preprint arXiv:2012.13229},
year = {2021}
}