@article{9aa0997918644ee8a8ab35ab75913908,
title = "Design and performance of a space–time virtual element method for the heat equation on prismatic meshes",
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 h- and hp-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 = "Heat equation, Polytopic meshes, Space–time methods, Virtual element methods",
author = "{G{\'o}mez Macias}, {Sergio Alejandro} and Lorenzo Mascotto and Ilaria Perugia",
note = "Funding Information: We thank the anonymous reviewers for their valuable comments and suggestions. We are thankful to Andrea Moiola (University of Pavia) for suggestions to improve the presentation of Section 2.1 . The authors have been funded by the Austrian Science Fund (FWF) through the projects F 65 and P 33477 (I. Perugia), and the Italian Ministry of University and Research through the PRIN project “NA-FROM-PDEs” and PNRR-M4C2-I1.4-NC-HPC-Spoke6 (S. G{\'o}mez). S. G{\'o}mez acknowledges the kind hospitality of the Erwin Schr{\"o}dinger International Institute for Mathematics and Physics (ESI), where part of this research was developed. Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",
year = "2024",
month = jan,
day = "1",
doi = "10.1016/j.cma.2023.116491",
language = "English",
volume = "418",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
number = "PART A",
}