In this article the homotopy continuation method (HCM) to solve the forward kinematic problem of the 3-PRS parallel manipulator is used. Since there are many difficulties in solving the system of nonlinear equations in kinematics of manipulators, the numerical solutions like Newton-Raphson are inevitably used. When dealing with any numerical solution, there are two troublesome problems. One is ...

In this paper we present a continuation optimization method for reducing multi-modality in the wind farm layout problem that call wake expansion (WEC). We achieve reduction by starting with an increased diameter while maintaining normal velocity deficits at center of wakes, and then each series runs until accurate is used. applied demonstrated effectiveness WEC two different models. tested on f...

I introduce a new migration method that overcomes the limitations of common-azimuth migration while retaining its computational efficiency for imaging marine streamer data. The method is based on source-receiver downward-continuation of the prestack data with a narrow range of cross-line offsets. To minimize the width of the cross-line offset range, while assuring that all the recorded events a...

Tomography in the post-migrated domain is quickly becoming the standard approach for obtaining velocities in complex areas. The standard flow to update the velocity through tomography in the post-migrated domain begins by migrating the data using some initial velocity model. This migration method can be Kirchhoff (Etgen, 1990), downward continuation methods (Clapp, 2001b; Mosher et al., 2001), ...

We develop a new scalar migration technique that is highly accurate for imaging steep dips in heterogeneous media. This method is based on arbitrarily wideangle wave equations (AWWEs) that are highly accurate space-domain one-way wave equations and have a form similar to the 15◦ equation. The accuracy of the proposed method is increased by introducing auxiliary variables, as well as adjusting t...

For a hyperbolic equation p(x, t)∂ t u(x, t) = ∆u(x, t)+ ∑n j=1 qj(x, t)∂ju+ qn+1(x, t)∂tu+r(x, t)u in R n×R with p ∈ C and q1, ...., qn+1, r ∈ L∞, we consider the unique continuation and an inverse problem across a non-convex hypersurface Γ. Let Γ be a part of the boundary of a domain and let ν(x) be the inward unit normal vector to Γ at x. Then we prove the unique continuation near a point x0...

This paper presents a fast algorithm to solve spectral estimation problem for two-dimensional random fields. The latter is formulated as convex optimization with the Itakura-Saito pseudodistance objective function subject constraints of moment equations. structure Hessian dual exploited in order make possible Newton solver. Then solver incorporated predictor-corrector numerical continuation met...

We develop a new space-domain elastic migration method for heterogeneous media based on downward continuation. This method uses the concepts of the recently developed Arbitrarily Wide Angle Wave Equations. The coupled oneway propagation of pressure and shear waves is modeled by attaching a virtual half-space to each depth step, which is represented by special complex-length finite elements. Alt...

Prestack migration is necessary before AVO analysis. Most of the present migration algorithms not only try to focus the reflections on the subsurface but also strive to preserve the amplitude for subsequent amplitude studies. A migration/inversion method developed by Lumley (1993) estimates the angle dependent reflectivity at each subsurface point by using least-squares Kirchhoff migration foll...