Reduced symmetry elements in linear elasticity
By D. Boffi, Franco Brezzi, Michel Fortin. 2008
157 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b02fa24ac84c6bc91cf493a639355b8b3fe24c39
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In Biomedical Engineering
In Computational Mechanics
In Mechanics of Materials
Citations in the corpus
- A Second Elasticity Element Using the Matrix Bubble (2012, methodology): “Method V (K) W (K) A(K) Order Stenberg [24] P(K) + curl (P(K)λ0λ1λ2λ3) P (K) A(K) k ≥ 1 peers [4, 12] RT (K) + curl (P(K)λ0λ1λ2λ3) P (K) CA(1)(K) k = 0 afw [5] P(K) P(K) A(K) k ≥ 0 Our 1st element [15] RT (K) + curl ((curlÃ(K))bK) P (K) A(K) k ≥ 1 Section 2 (this paper) P(K) + curl ((curlÃ(K))bK) P ”
- A family of conforming mixed finite elements for linear elasticity on triangular grids (2014, unknown): “From then on, various stable mixed elements have been constructed, see [2, 4, 5, 9, 11, 17], [10, 19, 23, 28, 35, 36], and [8, 12, 18, 20, 21].”
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the lower order case (2014, unknown): “10]. Such a two dimensional family was extended to a three dimensional family of mixed elements [6], while the lowest order element with k = 2 was first proposed in [2]. We refer interested readers to [2, 5, 6, 10, 12, 18, 11, 22, 27, 33, 39, 40, 9, 13, 19, 23, 24, 29, 28], for recent progress on mix”
- A Mimetic discretization method for linear elasticity (2010, unknown): “After the pioneering works [2,22], a range of stable and converging finite elements for the elasticity problem in mixed form has been developed in [3–5,15].”