Results 131 to 140 of about 179 (157)

Fuzzy Value Function’s Curvilinear and Surface Integral Base on Fuzzy Structured Element Method (I) – Fuzzy-valued Function’s Curvilinear Integral

2010
According to the fuzzy structured element representation theorem of fuzzy-valued function, under the background of engineering, this paper gives the definition of fuzzy-valued function’s first form curvilinear integral, presents the representation theorem of two-dimensional fuzzy number and fuzzy vector based on fuzzy structured element, and gives the ...
Sizong Guo, Jian Han, Changhua Chen
openaire   +1 more source

Curvilinear integrals of discontinuous functions over nonrectifiable paths and Riemann boundary‐value problem

Mathematical Methods in the Applied Sciences, 2019
We study a generalization of the concept of curvilinear integral for the case where path of integration is nonrectifiable, and integrand has discontinuities. Then we apply that integrals for solving of the Riemann boundary‐value problem for domains with nonrectifiable boundaries and discontinuous boundary data.
Boris A. Kats, David B. Katz
openaire   +2 more sources

Singular basis functions and curvilinear triangles in the solution of the electric field integral equation

IEEE Transactions on Antennas and Propagation, 1999
Summary: Basis functions are formulated that account for singularities in the charge density near an edge on a conducting body. The formulation is general and the basis functions are valid for planar as well as curvilinear geometries. In principle, singularities of any order can be treated, but best results are obtained for so-called `knife edge ...
Brown, William J., Wilton, Donald R.
openaire   +1 more source

Anharmonic state counts and partition functions for molecules via classical phase space integrals in curvilinear coordinates

The Journal of Chemical Physics, 2013
An algorithm is presented for calculating fully anharmonic vibrational state counts, state densities, and partition functions for molecules using Monte Carlo integration of classical phase space. The algorithm includes numerical evaluations of the elements of the Jacobian and is general enough to allow for sampling in arbitrary curvilinear or ...
Eugene, Kamarchik, Ahren W, Jasper
openaire   +2 more sources

Higher order hierarchical Legendre basis functions for iterative integral equation solvers with curvilinear surface modeling

IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313), 2003
Numerical solution of Maxwell's equations is often based on a discretization of an unknown field quantity using a set of N basis functions. A set of higher order hierarchical vector basis functions for the electric surface current in MoM codes with curvilinear quad patches is investigated. The basis is based on Legendre polynomials, modified to enforce
E. Jorgensen, J.L. Volakis, P. Meincke, O. Breinbjerg   +3 more
openaire   +1 more source

Time domain integral equation solvers using curvilinear RWG spatial basis functions and quadratic B-spline temporal basis functions

2008 Asia-Pacific Microwave Conference, 2008
In this paper, a robust TDIE solver based on using the quadratic B-spline temporal basis functions and curvilinear RWG spatial basis functions for transient scattering problems by arbitrarily-shaped bodies, including tapering ones, is presented. The MOT solutions converge at exponential rate at early time and then level off at machine precision, which ...
G.H. Zhang, M.Y. Xia
openaire   +1 more source

Marching-on-in-degree time-domain integral equation analysis of scattering from composite object with curvilinear RWG basis functions

2012 4th International High Speed Intelligent Communication Forum, 2012
Transient electromagnetic scattering from object composed of conductor and dielectric material is analyzed by the marching-on-in-degree (MOD) time-domain integral equation (TDIE) method. Weighted Laguerre polynomials are exploited as the entire domain temporal basis functions, and lead to unconditionally stable solution.
null Quan-Quan Wang, null Dong-Xue Zhao, null Ru-Shan Chen, null Da-Zhi Ding, null Zhen-Bao Ye   +4 more
openaire   +1 more source

Optimal formula for the numerical integration of a curvilinear integral of the first kind for certain classes of functions and curves

Ukrainian Mathematical Journal, 1987
We consider the problem of the best approximate calculation of a curvilinear integral of the first kind in the form of a linear combination of several values of the integrand.
openaire   +2 more sources

Conformal Dual Basis Functions on Curvilinear Quadrilaterals for Calderon Preconditioning of Surface Integral Equations

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019
We present an implementation of the Calderon Multiplicative Preconditioner in the context of conformal quadrilateral discretizations of surface scattering problems. Conformal rooftop basis functions that are traditionally defined on pairs of quadratic quadrilateral elements [1] are augmented n this work by defining a set of conformal “dual” basis ...
openaire   +1 more source

Nodal integral methods in general 2D curvilinear coordinates - applied to convection–diffusion equation in domains discretized using quadrilateral elements

International Journal of Heat and Mass Transfer, 2022
Ibrahim Jarrah
exaly