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Layer-Adapted Meshes

Part of the Lecture Notes in Mathematics book series (LNM,volume 1985)

Abstract

Before surveying a few of the most important ideas from the literature for constructing layer-adapted meshes, we shall introduce some basic concepts for describing layer-adapted meshes.

Throughout \(\varpi :0\; = \;x_0 < x_1 < ... < x_N = 1\) denotes a generic mesh with N subintervals on [0, 1], while ω is the set of inner mesh nodes. Set \(I_i : = \;[x_i - 1,x_i ].\). The local mesh sizes are \(h_i : = x_i - x_{i - 1} ,i = 1,...,N\), while the maximum step size is \(h: = \mathop {\max }\limits_{i = 1,...,N} hi.\).

Keywords

  • Interior Layer
  • Mesh Parameter
  • Shishkin Mesh
  • Piecewise Uniform
  • Mesh Interval

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Torsten Linß .

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© 2010 Springer-Verlag Berlin Heidelberg

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Linß, T. (2010). Layer-Adapted Meshes. In: Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems. Lecture Notes in Mathematics(), vol 1985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05134-0_2

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