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Resumen de Numerical methods for a one-dimensional non-linear Biot’s model

Francisco José Gaspar Lorenz Árbol académico, Francisco J. Lisbona, Piotr Matus, Vo Thi Kim Tuyen

  • Staggered finite difference methods for a one-dimensional Biot’s problem are considered. The permeability tensor of the porous medium is assumed to depend on the strain, thus yielding a non-linear model. Some strong two-side estimates for displacements and for pressure are provided and convergence results in the discrete L2-norm are proved. Numerical examples are given to illustrate the good performance of the proposed numerical approach.

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