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The nonlinear diffusion terms are handled by an iterative method, with finite differences or spectral preconditioning.
This paper presents a numerical model to simulate soil compaction using the finite-element method with finite deformation.
A mathematical model, based on a numerical method with finite differences, is built in order to describe the process.
The estimation of relative permeability is generally solved by Levenberg-Marquardt method with finite difference Jacobian approximation (LM-FD).
Using conjugate gradient method with finite element method, a program module is generated to check the hydroformed tube quality about its thickness uniformity and the geometry accuracy.
Subsequently, the accuracy of the proposed method is verified by comparing numerical results obtained by the proposed method with finite element method (FEM) and experimental data.
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We then implement the Newton method with finite-difference and secant approximations for the Jacobian.
The obtained results clearly show the validation of numerical method compared with finite element method.
A detailed steady state numerical calculation using the finite element method coupled with finite difference method is performed to predict the heat rejection characteristics of the heat pipe radiator.
Direct simulation based on what is called fictitious domain method coupled with finite element method has been used to study particulate flows and sedimentation process.
This work presents a symmetric formulation for the coupling of boundary element method (BEM) with finite element method (FEM) to compute responses of submerged elastic structures in a heavy acoustic medium.
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