A semidiscrete Galerkin scheme for a two-scale coupled elliptic-parabolic system : Well-posedness and convergence approximation rates

• In this paper, we study the numerical approximation of a coupled system of elliptic–parabolic equations posed on two separated spatial scales. The model equations describe the interplay between macroscopic and microscopic pressures in an unsaturated heterogeneous medium with distributed microstructures as they often arise in modeling reactive flow in cementitious-based materials. Besides ensuring the well-posedness of our two-scale model, we design two-scale convergent numerical approximations and prove a priori error estimates for the semidiscrete case. We complement our analysis with simulation results illustrating the expected behaviour of the system.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Elliptic–parabolic system. Weak solutions

Galerkin approximations

Distributed microstructures

Error analysis

Matematik

Mathematics

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)