@inbook{b8b06dbccc1943639228c90c3d4ee658,
title = "An Adaptive Conservative Moving Mesh Method",
abstract = "We present an adaptive moving mesh strategy endowed with a mass conservation property for the numerical solution of the two-dimensional linear transport equation. We achieve this through the solution of an auxiliary moving mesh problem driven by a gradient based monitor function. The method we propose is of staggered type, hence requires an appropriate data transfer operator over different meshes. We make use of an L 2 projection operator that requires the construction of a supermesh for evaluation. We summarise extensive numerical experiments aimed at testing the robustness of the method and its ability to approximate challenging numerical features.",
author = "Simone Appella and Chris Budd and Tristan Pryer",
note = "Funding Information: Acknowledgments This research has been funded in part by the EPSRC through the CDT program in Statistical and Applied Mathematics at the University of Bath (EPSRC Reference: EP/L015684/1). We thank the MET Office staff and the reviewer of this manuscript for their valuable advice and comments. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2022",
month = feb,
day = "21",
doi = "10.1007/978-3-030-92540-6_13",
language = "English",
isbn = "9783030925390",
series = "SEMA SIMAI Springer Series",
publisher = "Springer",
pages = "277--299",
booktitle = "Mesh Generation and Adaptation",
}