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The finite volume method (FVM) is widely adopted in many different applications because of its built‐in conservation properties, its ability to deal with arbitrary mesh and its computational efficiency. In this work, we consider the Rhie–Chow stabilized Box method (RCBM) for the approximation of the Stokes problem. The Box method (BM) is a piecewise linear Petrov–Galerkin formulation on the Voronoi dual mesh of a Delaunay triangulation, whereas the Rhie–Chow (RC) stabilization is a well known stabilization technique for FVM. The first part of the article provides a variational formulation of the RC stabilization and discusses the validity of crucial properties relevant for the well‐posedness and convergence of RCBM. Moreover, a numerical exploration of the convergence properties of the method on 2D and 3D test cases is presented. The last part of the article considers the theoretically justification of the well‐posedness of RCBM and the experimentally observed convergence rates. This latter justification hinges upon suitable assumptions, whose validity is numerically explored. [ABSTRACT FROM AUTHOR]

Summary: Background: A gluten‐free diet (GFD) is known to be associated with altered macronutrient intake and metabolic syndrome. Nonalcoholic fatty liver disease (NAFLD) is the hepatic hallmark of metabolic syndrome. The risk of NAFLD in patients with coeliac disease (CD) adhering to a GFD remains to be fully investigated; in particular, data from real‐life clinical settings are lacking. Aim: To assess the prevalence and relative risk of NAFLD in CD patients treated with a GFD. Methods: Case–control study, with prospective enrolment of CD outpatients following a GFD and controls. Patients were matched for demographic characteristics (age and gender) and metabolic risk factors (overweight, diabetes mellitus, total cholesterol, and triglycerides) using a 1:1 ratio. NAFLD was diagnosed according to the European Association for the Study of the Liver criteria. Results: 202 CD patients and 202 controls were compared. The raw prevalence of NAFLD was 34.7% and 21.8% in the CD and control group, respectively (P = 0.006). Binary logistic regression confirmed an increased risk of NAFLD in the CD group (adjusted odds ratio = 2.90, 95% confidence interval: 1.64‐5.15, P < 0.001). Additionally, the relative risk for NAFLD was notably higher in non‐overweight CD patients (adjusted odds ratio = 5.71, 95% confidence interval: 2.30‐14.19, P < 0.001). Conclusions: More than one‐third of CD patients adhering to a GFD had concurrent NAFLD, accounting for a three‐fold increased risk compared to the general population. Dietary advice provided using a patient‐tailored approach should assist CD patients with NAFLD in achieving an appropriate nutritional intake whilst reducing the risk of long‐term liver‐related events. [ABSTRACT FROM AUTHOR]