Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
Numerical Analysis
2023-11-13 v3 Numerical Analysis
Abstract
We present a space-time virtual element method for the discretization of the heat equation, which is defined on general prismatic meshes and variable degrees of accuracy. Strategies to handle efficiently the space-time mesh structure are discussed. We perform convergence tests for the - and -versions of the method in case of smooth and singular solutions, and test space-time adaptive mesh refinements driven by a residual-type error indicator.
Keywords
Cite
@article{arxiv.2306.09191,
title = {Design and performance of a space-time virtual element method for the heat equation on prismatic meshes},
author = {Sergio Gómez and Lorenzo Mascotto and Ilaria Perugia},
journal= {arXiv preprint arXiv:2306.09191},
year = {2023}
}