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SMOOTHED POINT INTERPOLATION METHODS FOR 2D AND 3D ELASTICITY PROBLEMS WITH CERTIFIED SOLUTIONSA class of smoothed point interpolation methods (smoothed PIMs) are introduced in this paper, which are derived from the smoothed Galerkin weak-form for variational formulation based on the gradient smoothing ...
(x), the domain of the functional—to the set of all functions that satisfy the constraints—this is the output or co-domain of the constrained exppression—the constrained expresssion can be used to transform constrained optimization problems into unconstrained optimization problems. For example, ...
The following description will focus on particular problems encountered with digital cameras that use CCD sensors to receive light and form a digital picture for display by a color LCD display of the camera. However, the problems described herein occur in many other contexts, and the solutions des...
(i, j=1,\dots ,n\). The correlation function is typically chosen from a family of kernels functions, based on the application at hand. We chose an exponential kernel42since it provided us with the lowest RMSE of the predicted mean. By the model in (1), we can obtain the parameter ...
. The present invention can allow for better 3D solutions to, for instance, imaging and multiple removal problems as well as significantly increasing efficiency of marine seismic operations. In addition, time-lapse in an important application area where interpolation/extrapolation of actual receiver ...
In addition, many publications have been devoted to the search for optimal interpolation points in the sense that these points lead to a minimal Lebesgue constant for the interpolation problems on the interval [–1, 1]. In Section 1 we introduce the univariate polynomial interpolation problem, ...
Convergence problems associated with applying a direct solver to a large linear system were resolved by using an iterative sparse linear solver [14]. The method was extended to a larger problem investigating the flexible AGARD 445.6 wing using a modal structural model [15]. However, the ...
While some of the problems associated with such a two-tap filter can be compensated by post-filtering techniques, the combination of problems evident from the gain and phase responses require quite complex post-filtering solutions, which generally are not cost effective. [0045] In view of the ...
This computational savings increases for higher parameter problems (e.g.: with a seven parameter problem, the number of values needed for the interpolation is only one-sixteenth of the values needed for the multicubic approach). Although number of values used for the interpolation is reduced, ...