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• W2897423412 abstract "Abstract We propose a new locking-free family of mixed finite element and finite volume element methods for the approximation of linear elastostatics, formulated in terms of displacement, rotation vector, and pressure. The unique solvability of the three-field continuous formulation, as well as the well-definiteness and stability of the proposed Galerkin and Petrov–Galerkin methods, is established thanks to the Babuska–Brezzi theory. Optimal a priori error estimates are derived using norms robust with respect to the Lame constants, turning these numerical methods particularly appealing for nearly incompressible materials. We exemplify the accuracy (in a suitably weighted norm), as well the applicability of the new formulation and the mixed schemes by conducting a number of computational tests in 2D and 3D, also including cases not covered by our theoretical analysis." @default.
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• W2897423412 date "2019-02-01" @default.
• W2897423412 modified "2023-10-18" @default.
• W2897423412 title "Mixed displacement–rotation–pressure formulations for linear elasticity" @default.
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• W2897423412 doi "https://doi.org/10.1016/j.cma.2018.09.029" @default.
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