Xiaorui Zhang^1,2,*, Xuefeng Yu¹, Wei Sun², Aiguo Song³

CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.3, pp. 1131-1147, 2020, DOI:10.32604/cmes.2020.09735 - 21 August 2020

Abstract In order to solve the problem of high computing cost and low simulation accuracy caused by discontinuity of incision in traditional meshless model, this paper proposes a soft tissue deformation model based on the Marquardt algorithm and enrichment function. The model is based on the element-free Galerkin method, in which Kelvin viscoelastic model and adjustment function are integrated. Marquardt algorithm is applied to fit the relation between force and displacement caused by surface deformation, and the enrichment function is applied to deal with the discontinuity in the meshless method. To verify the validity of the More >

Abdelkarim El Kahoui¹, Mustapha Malek¹, Nouh Izem¹, M. Shadi Mohamed², Mohammed Seaid^3,4,*

CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.1, pp. 61-78, 2020, DOI:10.32604/cmes.2020.010874 - 19 June 2020

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… More >