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In 2012, Talwar and Mohanty [28] framed a finite difference method for the solution of (1.1 - 1.2 1.1 - 1.2usingrm mesh size (h>0).
The MAEs and RMSEs so obtained are tabulated in Table 14 using a uniform mesh and in Table 15 using a quasi-variable mesh.
We model the mechanics of the stent structure using a neo-Hookean hyperelastic formulation, which is discretized using a uniform mesh of solid isoparametric finite elements.
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Mesh-type sensitivity was highlighted using a uniform Cartesian and a non-uniform polyhedral mesh.
The method represents the scatterers within a set of possibly disjoint identical cubic subdomains, which are meshed using a uniform cubic grid.
Brillouin-zone integration was carried out within a Monkhorst-Pack[25] scheme using a uniform (4 × 4 × 1) mesh.
The numerical simulation is performed using a uniform grid 20 × 20, with a mesh width Δ x = Δ y = 0.05.
To obtain numerical results, we use a uniform grid of mesh-points ((x,t,s )= (x_{j},t_{k},s_{m} )), where begin{aligned}& x_{j}=jDelta x, quadDelta x=frac{pi}{K}, j= overline{0,K}, & t_{k}=kDelta t,qquad s_{l}=lDelta s,quad Delta t= Delta s= frac{1}{M}, k,l=overline{0,M}.
end{aligned} The MAEs obtained for a range of values of λ, using the second order technique with a uniform mesh are given in Table 4 and that with the fourth order technique are given in Table 6.
The method uses a simple uniform mesh which is independent of the interface.
We use the artificial viscosity to capture the exponential features of the exact solution on a uniform mesh and use B-spline collocation method which leads to a tridiagonal linear system.
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