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3篇 您的检索式:作者名="Eli Turkel"
    题名 作者 年代 出处 被引量
1Simultaneous Scatterer Shape Estimation and Partial Aperture Far-Field Pattern Denoising显示文摘We study the inverse problem of recovering the scatterer shape from the far-field pattern(FFP)in the presence of noise.Furthermore,only a discrete partial aperture is usually known.This problem is ill-posed and is frequently addressed using regularization.Instead,we propose to use a direct approach denoising the FFP using a filtering technique.The effectiveness of the technique is studied on a scatterer with the shape of the ellipse with a tower.The forward scattering problem is solved using the finite element method(FEM).The numerical FFP is additionally corrupted by Gaussian noise.The shape parameters are found based on a least-square error estimator.If eu¥is a perturbation of the FFP then we attempt to find G,the scatterer shape,which minimizes k u¥−eu¥k using the conjugate gradient method for the denoised FFP.Yaakov Olshansky Eli Turkel 2012Communications in Computational Physics2012,11,2:0
2Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients显示文摘We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system.We demand that the scheme be higher order even when the coefficients are discontinuous.We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.Guy Baruch Gadi Fibich Semyon Tsynkov Eli Turkel 2009Communications in Computational Physics2009,5,2:0
3Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes显示文摘In many problems,one wishes to solve the Helmholtz equation with variable coefficients within the Laplacian-like term and use a high order accurate method(e.g.,fourth order accurate)to alleviate the points-per-wavelength constraint by reducing the dispersion errors.The variation of coefficients in the equation may be due to an inhomogeneous medium and/or non-Cartesian coordinates.This renders existing fourth order finite difference methods inapplicable.We develop a new compact scheme that is provably fourth order accurate even for these problems.We present numerical results that corroborate the fourth order convergence rate for several model problems.Steven Britt Semyon Tsynkov Eli Turkel 2011Communications in Computational Physics2011,9,3:0
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