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Finally, our scheme is successfully applied to the regularized and lid-driven cavity flow problems.
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In this paper, a non-linear transformation over curved surface elements is introduced and applied to the indirect regularized boundary element method for 2-D thin structural problems.
A sufficiently accurate representation of the filtered nonlinear combination of discontinuous solution components which arise from the convection term can be obtained by a regularized deconvolution applied to the filtered solution.
The regularized Brinkman model is also applied to the unsteady Stokes equation for oscillatory flows since the latter leads to the Brinkman equations with complex permeability parameter.
This is further supported by a pipeline engineering case study where the viscosity regularized cohesive zone approach is applied to the hydrogen embrittlement simulation.
After demonstrating its effectiveness for a model problem, the iterative scheme is applied to solve the regularized internal wave model using a pseudo-spectral method for the propagation of a single internal solitary wave and the head-on collision between two solitary waves of different wave amplitudes.
Then differential geometric method is applied to transform the regularized system into a simple normal form, for which a Luenberger-like observer is proposed.
Thus, this regularized inversion can be done in two steps, by first applying the transposed SV filtering associated to H T, and then applying to the previous output the inverted matrix.
A special project method dual least squares method generated by the family of Shannon wavelet is applied to formulate regularized solution.
A step-wise elimination was applied to reduce the signatures: regularized least squares classifiers on Pfam domain frequencies (Lingner et al., 2010) were optimized by a 5-fold cross-validation to minimize the classification error.
The regularized sinc method; a method which is based on (WKS) but applied to regularized functions.
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