In this paper, we pursue an analogous approach for the elasticity problem. 3. The elasticity complex. We now proceed to a description of two elasticity ...
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Jan 29, 2020 · We present a simple technique to prove the compact embeddings based on regular decompositions/potentials and Rellich's section theorem.
1. This paper is devoted to a discussion of the elasticity complexwhich plays an important role in the analysis of the elasticity equations as well as in ...
We present a simple technique to prove the compact embeddings based on regular decompositions/potentials and Rellich's selection theorem.
Sep 13, 2024 · We investigate the Hilbert complex of elasticity involving spaces of symmetric tensor fields. For the involved tensor fields and operators ...
The complex consists of vector fields and symmetric tensor fields, interlinked via the linearized deformation operator, the linearized curvature operator, and ...
The polynomial elasticity complex and Koszul elasticity complex are created to derive the decomposition. The trace of the inc operator is induced from a ...
The elasticity complex: compact embeddings and regular ...
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Sep 20, 2024 · We investigate the Hilbert complex of elasticity involving spaces of symmetric tensor fields. For the involved tensor fields and operators ...
Sep 25, 2024 · We prove inf-sup stability bounds which are uniform in polynomial degree and mesh size for the Hu--Zhang finite element in two dimensions.
May 10, 2024 · The elasticity differential complex associated with a 2- or 3-dimensional domain is a sequence of function spaces connected by differential ...