Arbitrary-level hanging nodes for adaptive hphp-FEM approximations in 3D
Journal Article
·
· Journal of Computational and Applied Mathematics
OSTI ID:1149031
In this paper we discuss constrained approximation with arbitrary-level hanging nodes in adaptive higher-order finite element methods (hphp-FEM) for three-dimensional problems. This technique enables using highly irregular meshes, and it greatly simplifies the design of adaptive algorithms as it prevents refinements from propagating recursively through the finite element mesh. The technique makes it possible to design efficient adaptive algorithms for purely hexahedral meshes. We present a detailed mathematical description of the method and illustrate it with numerical examples.
- Research Organization:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- DE-AC07-05ID14517
- OSTI ID:
- 1149031
- Report Number(s):
- INL/JOU-14-32749
- Journal Information:
- Journal of Computational and Applied Mathematics, Vol. 270
- Country of Publication:
- United States
- Language:
- English
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