Research Communication | Open Access
Volume 2019 | Communication ID 226
Volume 2019 | Communication ID 226
| Enriched finite element solution for three-dimensional transient diffusion problems |
Mustapha Malek, Nouh Izem, M. Shadi Mohamed, Mohammed Seaid, Omar Laghrouche
Received |
Accepted |
Published |
Jan 31, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: A robust enriched finite element method is proposed for the numerical solution of heat conduction in composite materials. The governing equations consist of a nonlinear transient diffusion problem with discontinuous coefficients. These coefficients depend on the conduction properties of each material in the composite enclosures. The finite element space is enriched using a class of exponential functions accounting for the heat decay in the composite material. The proposed enriched finite element method demonstrates an immense reduction in the number of degrees of freedom required to achieve ...