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Finite element de Rham complexes and finite element Stokes complexes with varying degrees of smoothness in three dimensions are systematically constructed in this paper. Smooth scalar finite elements in three dimensions are derived through a non-overlapping decomposition of the simplicial lattice. H(div)-conforming finite elements and H(curl)-conforming finite elements with varying degrees of smoothness are devised based on these smooth scalar finite elements. The finite element de Rham complexes with corresponding smoothness and commutative diagrams are induced by these elements. The div stability of the H(div)-conforming finite elements is established, and the exactness of these finite element complexes is proven.
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Building Information Modelling (BIM) data repository with labels
The dataset contains five models with extracted elements for each model. The elements are manually labeled by researchers with construction/civil engineering backgrounds based on discussion and majority vote.
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- Award ID(s):
- 1745374
- PAR ID:
- 10311592
- Publisher / Repository:
- Purdue University Research Repository
- Date Published:
- Edition / Version:
- 1.0
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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