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Article | REF: M3011 V1

Metric and mesh: Definition and theoretical basics

Authors: Abel CHEROUAT, Houman BOROUCHAKI, Florian BLACHERE

Publication date: September 10, 2023

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4. Examples

In this section, we present examples of planar, surface and volume meshes. These meshes are governed by Riemannian metrics. For each example, we specify the corresponding Riemannian space, which is determined according to the metric characteristics of the desired mesh.

4.1 Flat mesh

We consider two types of mesh: one that respects the geometry of the domain, and one that respects a function of mesh size within the domain.

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4.1.1 Planar mesh with border metrics

This example...

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