IEEE Spectrum
The construction of a null basis for a discrete divergence operator
Journal of Computational and Applied Mathematics
Analysis and convergence of the MAC scheme. II: Navier-Stokes equations
Mathematics of Computation
Local Discontinuous Galerkin Methods for the Stokes System
SIAM Journal on Numerical Analysis
Statistical Foundations of Audit Trail Analysis for the Detection of Computer Misuse
IEEE Transactions on Software Engineering
New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
SIAM Journal on Numerical Analysis
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The current research attempts to offer a novel method for solving the Stokes problem based on the use of feed-forward neural networks. We transform the mixed Stokes problem into three independent Poisson problems which by solving them the solution of the Stokes problem is obtained. The results obtained by this method, has been compared with the existing numerical method and with the exact solution of the problem. It can be observed that the current new approximation has higher accuracy. The number of model parameters required is less than conventional methods. The proposed new method is illustrated by two examples.