Abstract
The finite element method is based on the division of the physical domains into a large number of small polytopes with simple geometry. Basically, the most useful finite elements can be divided into two large groups: simplicial elements and hypercubic elements. To keep conformity, triangulating of curved domains with complex geometry requires the usage of various kinds of transitional elements, which are specific for any fixed Euclidean space. The paper deals with a basic problem of the finite element method in the multidimensional spaces - conforming coupling between hypercubic and simplicial meshes. Here we focus on the bipyramidal elements. Some properties of such kind elements are discussed in an arbitrary Euclidean space with a dimension greater than two.
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Petrov, M.S., Todorov, T.D. (2021). Properties of Multipyramidal Elements. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science(), vol 12949. Springer, Cham. https://doi.org/10.1007/978-3-030-86653-2_40
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DOI: https://doi.org/10.1007/978-3-030-86653-2_40
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