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Fully–mixed virtual element method for the Biot problem
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DOI：10.1016/j.camwa.2026.03.030.png)
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Abstract
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• We propose a novel low-order four-field VEM discretization for 3D Biot’s problems. • Symmetry of the stress is enforced directly, without using Lagrange multipliers. • A complete a-priori analysis shows the method’s robustness for limiting material properties. • Numerical 3D tests confirm the theoretical convergence results and robustness for different material parameters.
Keywords:
Virtual element method
Poromechanics
Biot problem
Mixed formulation
Polyhedral meshes
65M60
65M12
74F10
76S05
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