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A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
(2022)
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, ...
Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions
(Oxford University Press, 2020)
Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions
(Oxford University Press, 2020)
A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions
(International Journal of Numerical Analysis and Modeling, 2020)
A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions
(International Journal of Numerical Analysis and Modeling, 2020)
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
(2019-03)
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 ...