Abdelkarim El Kahoui1, Mustapha Malek1, Nouh Izem1, M. Shadi Mohamed2, Mohammed Seaid3,4,*
CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.1, pp. 61-78, 2020, DOI:10.32604/cmes.2020.010874
Abstract We propose a high-order enriched partition of unity finite element
method for linear and nonlinear time-dependent diffusion problems. The solution
of this class of problems often exhibits non-smooth features such as steep gradients and boundary layers which can be very challenging to recover using the conventional low-order finite element methods. A class of steady-state exponential
functions has been widely used for enrichment and its performance to numerically
solve these challenges has been demonstrated. However, these enrichment functions have been used only in context of the standard h-version refinement or
the so-called q-version refinement. In this paper we demonstrate that the… More >
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