Abstract
We study how to build a mesh of a bounded domain, i.e., a finite collection of cells forming a partition of the domain. Building a mesh is the first important task to realize when one wants to approximate some PDEs posed in the domain. The viewpoint we adopt in this book is that each mesh cell is the image of a reference cell by some smooth diffeomorphism that we call geometric mapping. We show how to construct the geometric mapping and we present various important notions concerning meshes. We also discuss mesh-related data structures and mesh generators.
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Ern, A., Guermond, JL. (2021). Meshes. In: Finite Elements I. Texts in Applied Mathematics, vol 72. Springer, Cham. https://doi.org/10.1007/978-3-030-56341-7_8
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DOI: https://doi.org/10.1007/978-3-030-56341-7_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-56340-0
Online ISBN: 978-3-030-56341-7
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