A spatial-convolution regularization of the Biot displacement is introduced, and existence of weak solutions is proven for each fixed regularization scale for a nonlinear moving-domain fluid-poroelastic interaction problem with direct contact.
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A Regularized Interface Method for Fluid-Poroelastic Structure Interaction Problems with Nonlinear Geometric Coupling
A spatial-convolution regularization of the Biot displacement is introduced, and existence of weak solutions is proven for each fixed regularization scale for a nonlinear moving-domain fluid-poroelastic interaction problem with direct contact.