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Journal of Scientific Computing

Erschienen in:

01.02.2020

Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes

verfasst von: Thomas P. Wihler, Marcel Wirz

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2020

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Abstract

We consider spectral mixed discontinuous Galerkin finite element discretizations of the Lamé system of linear elasticity in polyhedral domains in \({\mathbb {R}}^3\). In order to resolve possible corner, edge, and corner-edge singularities, anisotropic geometric edge meshes consisting of hexahedral elements are applied. We perform a computational study on the discrete inf-sup stability of these methods, and especially focus on the robustness with respect to the Poisson ratio close to the incompressible limit (i.e. the Stokes system). Furthermore, under certain realistic assumptions (for analytic data) on the regularity of the exact solution, we illustrate numerically that the proposed mixed DG schemes converge exponentially in a natural DG norm.

Vorheriger Artikel Highly Accurate Global Padé Approximations of Generalized Mittag–Leffler Function and Its Inverse

Nächster Artikel Entropy-Stable, High-Order Summation-by-Parts Discretizations Without Interface Penalties

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Titel: Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes
verfasst von: Thomas P. Wihler
Marcel Wirz
Publikationsdatum: 01.02.2020
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-020-01153-9

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