Stable mixed finite elements for linear elasticity with thin inclusions

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of hierarchically connected manifolds is formed which we refer to as mix...

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Bibliographic Details
Published in:	Computational geosciences Vol. 25; no. 2; pp. 603 - 620
Main Authors:	Boon, W. M., Nordbotten, J. M.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2021 Springer Nature B.V
Subjects:	A priori analysis Composite materials Differential equations Differential geometry Dimensions Earth and Environmental Science Earth Sciences Elasticity Geotechnical Engineering & Applied Earth Sciences Hydrogeology Inclusions Intersections Linear elasticity Manifolds Manifolds (mathematics) Mathematical analysis Mathematical Modeling and Industrial Mathematics Mechanics Mixed finite element Mixed-dimensional Momentum Norms Operators (mathematics) Original Paper Partial differential equations Soil Science & Conservation Stability Tensors Weak symmetry 65N12 74K20 74S05 Linear elasticity A priori analysis Weak symmetry Mixed-dimensional Mixed finite element 65N30
ISSN:	1420-0597, 1573-1499, 1573-1499
Online Access:	Get full text
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