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Virtual element methods for the three-field formulation of time-dependent linear poroelasticity - MaRDI portal

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity (Q2026132)

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Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
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    Virtual element methods for the three-field formulation of time-dependent linear poroelasticity (English)
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    18 May 2021
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    This article discusses a virtual element discretisation for the Biot equations of linear poroelasticity. The authors obtain optimal and Lamé-robust error estimates for solid displacement, fluid and total pressure in natural norms without weighting. Numerical experiments are also included to support the theoretical findings.
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    Biot equations
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    virtual element method
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    time-dependent problems
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    priori error analysis
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