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• W3005740764 abstract "We consider spectral mixed discontinuous Galerkin finite element discretizations of the Lame 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." @default.
• W3005740764 created "2020-02-24" @default.
• W3005740764 creator A5069965412 @default.
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• W3005740764 date "2020-02-01" @default.
• W3005740764 modified "2023-09-24" @default.
• W3005740764 title "Stability and Convergence of Spectral Mixed Discontinuous Galerkin Methods for 3D Linear Elasticity on Anisotropic Geometric Meshes" @default.
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• W3005740764 doi "https://doi.org/10.1007/s10915-020-01153-9" @default.
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