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- W2972385792 abstract "Advanced transition elements are of utmost importance in many applications of the finite element method (FEM) where a local mesh refinement is required. Considering problems that exhibit singularities in the solution, an adaptive hp-refinement procedure must be applied. Even today, this is a very demanding task especially if only quadrilateral/hexahedral elements are deployed and consequently the hanging nodes problem is encountered. These element types, are, however, favored in computational mechanics due to the improved accuracy compared to triangular/tetrahedral elements. Therefore, we propose a compatible transition element – xNy-element – which provides the capability of coupling different element types. The adjacent elements can exhibit different element sizes, shape function types, and polynomial orders. Thus, it is possible to combine independently refined h- and p-meshes. The approach is based on the transfinite mapping concept and constitutes an extension/generalization of the pNh-element concept. By means of several numerical examples, the convergence behavior is investigated in detail, and the asymptotic rates of convergence are determined numerically. Overall, it is found that the proposed approach provides very promising results for local mesh refinement procedures." @default.
- W2972385792 created "2019-09-19" @default.
- W2972385792 creator A5023363869 @default.
- W2972385792 creator A5073331772 @default.
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- W2972385792 date "2020-04-01" @default.
- W2972385792 modified "2023-10-11" @default.
- W2972385792 title "High order transition elements: The xy-element concept—Part I: Statics" @default.
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- W2972385792 cites W1973151530 @default.
- W2972385792 cites W1976584147 @default.
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- W2972385792 doi "https://doi.org/10.1016/j.cma.2020.112833" @default.
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