Interpolation Error Estimates for Three Dimensions

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Anisotropic hp-Mesh Adaptation Methods

Part of the book series: Nečas Center Series ((NECES))

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Abstract

We extend the theoretical results to the three-dimensional case. In the same spirit as for the two-dimensional case, we recall the geometry of a tetrahedron K and define the interpolation error function and the corresponding error estimates. The extension is relatively straightforward but technically cumbersome. Therefore, we avoid some technical details that are intuitively understandable and can be derived by readers.

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Dolejší, V., May, G. (2022). Interpolation Error Estimates for Three Dimensions. In: Anisotropic hp-Mesh Adaptation Methods . Nečas Center Series. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-04279-9_4

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