Abstract
We have seen in Chapter 2 the crucial role that the equidistribution principle plays in designing adaptive mesh algorithms, where in fact a mesh can be fully determined from it in 1D. The situation becomes much more complicated in multidimensions. The equidistribution principle, specifying only the volume of mesh elements, is no longer sufficient for determining a multidimensional mesh. An additional condition is needed for specifying the shape and orientation of mesh elements.
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© 2011 Springer Science+Business Media, LLC
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Huang, W., Russell, R.D. (2011). Basic Principles of Multidimensional Mesh Adaptation. In: Adaptive Moving Mesh Methods. Applied Mathematical Sciences, vol 174. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7916-2_4
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DOI: https://doi.org/10.1007/978-1-4419-7916-2_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-7915-5
Online ISBN: 978-1-4419-7916-2
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