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Open Access Research Article

Numerical analysis for a variational/hemivariational type inequalities of Bingham fluids

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pp. 1989–1998Vol. 28Issue 5August 2025DOI: 10.47974/JIM-2199XML
Received:
07 Feb 2024
Published Online:
13 Aug 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2199
Pages:
1989–1998

Abstract

This paper explores an analytical framework for an incompressible Bingham-type fluid (IBTF) within a bounded domain. The incompressible fluid model is expressed in its distributional form, which is formulated as a variational/hemivariational inequalities (VHF). Then, the well-posedness of a weak solution to the considered model is established. Ultimately, we employ the finite element approach to construct a discrete formulation of the framework and establish error bounds for the numerical approximations.

Keywords

Subject Classifications

76D0335D3065K15

References

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