Now showing items 1-4 of 4
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
We analyse the solvability of a static coupled system of PDEs describing the diffusion of a solute into an elastic material, where the process is affected by the stresses exerted in the solid. The problem is formulated in ...
New mixed finite element methods for natural convection with phase-change in porous media
This article is concerned with the mathematical and numerical analysis of a steady phase change problem for non-isothermal incompressible viscous flow. The system is formulated in terms of pseudostress, strain rate and ...
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
This paper is devoted to the mathematical and numerical analysis of a mixed-mixed PDE system describing the stress-assisted diffusion of a solute into an elastic material. The equations of elastostatics are written in mixed ...
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
We develop the a posteriori error analysis for mixed-primal and fully-mixed finite element methods approximating the stress-assisted diffusion of solutes in elastic materials. The systems are formulated in terms of stress, ...