webcal

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.