Nonlinear Galerkin Finite Element for Viscoelastic Fluid Flow: Optimal Error Estimate

2012/09/03 by Deepjyoti Goswami, Goswami, Deepjyoti
Chemical Engineering · Computer Science · Engineering · #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1209.0248

openalex publication_date 2012/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we discuss a couple of nonlinear Galerkin method (NLG) in finite element set up for viscoelastic fluid flow, mainly equations of motion arising in the flow of 2D Oldroyd model. We obtain improved error estimate in L^∞(\bL²) norm, which is optimal in nature, for linear finite element approximation, in view of the error estimate available in literature, in L²(\bH¹) norm.

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