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- W3204109813 abstract "We present a mesh-independent and parameter-robust multigrid solver for the Scott-Vogelius discretisation of the nearly incompressible linear elasticity equations on meshes with a macro element structure. The discretisation achieves exact representation of the limiting divergence constraint at moderate polynomial degree. Both the relaxation and multigrid transfer operators exploit the macro structure for robustness and efficiency. For the relaxation, we use the existence of local Fortin operators on each macro cell to construct a local space decomposition with parameter-robust convergence. For the transfer, we construct a robust prolongation operator by performing small local solves over each coarse macro cell. The necessity of both components of the algorithm is confirmed by numerical experiments." @default.
- W3204109813 created "2021-10-11" @default.
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- W3204109813 date "2020-02-01" @default.
- W3204109813 modified "2023-09-28" @default.
- W3204109813 title "Robust multigrid methods for nearly incompressible elasticity using macro elements" @default.
- W3204109813 hasPublicationYear "2020" @default.
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