Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems

DOI10.1016/j.camwa.2018.11.008zbMath1442.74153OpenAlexW2901473302WikidataQ128884384 ScholiaQ128884384MaRDI QIDQ2203819

Bryan Gomez-Vargas, Ricardo Ruiz-Baier, Gabriel N. Gatica

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.11.008

zbMATH Keywords

finite element methodsa priori error analysisfixed-point theoryaugmented fully-mixed formulationstress-diffusion coupling

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Transformations involving diffusion in solids (74N25) Stress (74A10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces ⋮ New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems ⋮ Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion ⋮ On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations ⋮ A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems

Uses Software

• FEniCS

Cites Work

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