Construction of explicit extension operators on general finite element grids

Authors:
Jianguo Huang;Jun Zou
Affiliations:
Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, People's Republic of China;Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, People's Republic of China
Venue:
Applied Numerical Mathematics
Year:
2002

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Abstract

An energy-preserving explicit extension operator is proposed to extend finite element functions defined on the boundary of a star-shaped polygonal domain into its interior. The pre-assigned finite element triangulation in the interior of the domain needs not be multilevel-structured. The extension operator has wide applications in the construction of non-overlapping domain decomposition methods and fictitious domain methods.