The Serendipity Family of Finite Elements

Arnold, D. N., & Awanou, G. (2011). The Serendipity Family of Finite Elements. Foundations of Computational Mathematics, 337-344.

Type

Journal article

Intellectual base

Primary research

Year

2011

DOI

10.1007/s10208-011-9087-3

Link

https://doi.org/10.1007/s10208-011-9087-3

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Eight-Node Quadratic Serendipity Quadrilateral (Q8)
  • Adjacent Q8 elements share the three nodal values along a common edge, giving a quadratic edge trace and global \(C^0\) continuity for compatible meshes.

    This sourcePrimary family definition by superlinear degree, with unisolvence and geometric decomposition.

Verification

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Registry ID ref:8c39b167653f · see in the full table