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Title: Arbitrary-level hanging nodes for adaptive hphp-FEM approximations in 3D

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.
Authors:
; ;
Publication Date:
OSTI Identifier:
1149031
Report Number(s):
INL/JOU-14-32749
DOE Contract Number:
DE-AC07-05ID14517
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational and Applied Mathematics; Journal Volume: 270
Research Org:
Idaho National Laboratory (INL)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS Arbitrary-level hanging node; Automatic adaptivity; Constrained approximation; Finite element method; Higher-order elements; Irregular meshes