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- W2738632406 abstract "Adaptive numerical methods using the $h$-$p$-version of finite elements require special kinds of shape functions. Desirable properties of them are symmetry, hierarchy and simple coupling. In a first step it is demonstrated that for standard polynomial vector spaces not all of these features can be obtained simultaneously. However, this is possible if these spaces are extended. Thus a new class of polynomial shape functions is derived, which is well-suited for the $p$- and $h$-$p$-version of finite elements on unstructured simplices. The construction is completed by minimizing the condition numbers of the arising finite element matrices. The new shape functions are compared with standard functions widely used in the literature." @default.
- W2738632406 created "2017-07-31" @default.
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- W2738632406 date "1993-12-13" @default.
- W2738632406 modified "2023-09-27" @default.
- W2738632406 title "Symmetric Hierarchical Polynomials for the h-p-Version of Finite Elements." @default.
- W2738632406 hasPublicationYear "1993" @default.
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