High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids
نویسندگان
چکیده
A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated by symmetric $H({\rm div})-P_k (k\geq 3)$ polynomial tensors enriched higher order bubbles so as to allow lumping, which can be viewed the Hu-Zhang interior bubble functions. displacement $C^{-1}-P_{k-1}$ vectors terms ensure stability condition. For both proposed and their schemes, optimal error estimates derived $H(\rm div)$ norm $L^2$ norm. Numerical results confirm theoretical analysis.
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ژورنال
عنوان ژورنال: Numerical Mathematics-theory Methods and Applications
سال: 2022
ISSN: ['1004-8979', '2079-7338']
DOI: https://doi.org/10.4208/nmtma.oa-2021-0055