Higher order hierarchical discretization scheme for surface integral equations for layered media
نویسندگان
چکیده
منابع مشابه
Fokas integral equations for three dimensional layered-media scattering
Article history: Received 25 October 2013 Received in revised form 19 May 2014 Accepted 14 July 2014 Available online 22 July 2014
متن کاملLyapunov-type integral inequalities for certain higher order differential equations
In this paper, we obtain Liapunov-type integral inequalities for certain nonlinear, nonhomogeneous differential equations of higher order with without any restriction on the zeros of their higher-order derivatives of the solutions by using elementary analysis. As an applications of our results, we show that oscillatory solutions of the equation converge to zero as t → ∞. Using these inequalitie...
متن کاملDiscretization of Volterra Integral Equations
We show that various (discrete) methods for the approximate solution of Volterra (and Abel) integral equations of the first kind correspond to some discrete version of the method of (recursive) collocation in the space of (continuous) piecewise polynomials. In a collocation method no distinction has to be made between equations with regular or weakly singular kernels; the regularity or nonregul...
متن کاملSpectral Scheme for Solving Fuzzy Volterra Integral Equations of First Kind
This paper discusses about the solution of fuzzy Volterra integral equation of first-kind (F-VIE1) using spectral method. The parametric form of fuzzy driving term is applied for F-VIE1, then three classifications for (F-VIE1) are searched to solve them. These classifications are considered based on the interval sign of the kernel. The Gauss-Legendre points and Legendre weights for arithmetics ...
متن کاملA higher-order singularity subtraction technique for the discretization of singular integral operators on curved surfaces
A major challenge facing the community working on integral equation based solvers for boundary value problems is the construction of efficient discretizations of integral operators with singular kernels on curved surfaces. Classic approaches such as singularity subtraction, special purpose quadrature, singularity cancellation, kernel regularization, and various adaptive strategies may work well...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Geoscience and Remote Sensing
سال: 2004
ISSN: 0196-2892
DOI: 10.1109/tgrs.2003.819881