Original scientific paper

https://doi.org/10.17559/TV-20160208123711

Flux determination using finite elements: global vs. local calculation

Ivica Kožar ; University of Rijeka, Faculty of Civil Engineering, Department for Computer Modeling, Radmile Matejcic 3, 51000 Rijeka, Croatia
Danila Lozzi-Kožar ; Croatian Waters, Djure Sporera 3, 51000 Rijeka, Croatia

Abstract

Finite difference procedures for flux determination are not well suited for application to field results obtained from finite element calculations. A novel method for flux calculation has been derived. This method is based on the weak formulation and is suitable for use with finite elements. A matrix formulation for local and global application to finite element formulations is presented. An additional benefit of the method is that Neumann boundary conditions can be easily incorporated in the finite element formulation of the nonlinear field problem. A comparison between the finite difference, Pade derivative and novel finite element procedures is demonstrated through one- and two-dimensional examples.

Keywords

boundary condition; finite element; flux determination; matrix formulation; nonlinear field problem; weak formulation

Hrčak ID:

174732

URI

https://hrcak.srce.hr/174732

Publication date:

10.2.2017.

Article data in other languages: croatian

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