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Thursday, January 4, 2018
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4:00pm [4:00pm]Prof. Ricardo Ruiz Baier Mathematical Institute — Oxford University
Description:
Prof. Ricardo Ruiz Baier Mathematical Institute — Oxford University Title: New three-field mixed formulations for elasticity and poroelasticity Abstract: In this talk we present two new formulations for elasticity and poromechanics that include rotations and total fluid-solid pressure as additional unknowns. We address the unique solvability of each problem and construct finite-element and finite-volume-element schemes for their numerical approximation. The stability and convergence of the methods are rigorously derived, and these results are of particular interest in the incompressible limit. We finally discuss how the formulations are modified when solving an interface problem defined by the coupling of an elastic and a poroelastic medium.

5:00pm