integral equation based methods
Analysis of Scattering from Composite Conductor and Dielectric Objects Using Single Integral Equation Method and MLFMA Based on JMCFIE
... asymptotic methods are not suitable for this kind of requirement due to poor accuracy in spatial, angular and frequency domain, whereas numerical algorithms are suitable for this situation due to their high ...the ...
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Integral equation based fast algorithms and graph-theoretic methods for large-scale simulations
... is based on and later compared with the serial code FMM-Yukawa, which computes the pairwise screened Coulomb interactions of N ...results. Based on previous studies (see Tables ...
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High Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures
... The debate on the nature of light was eventually ended with Fresnel’s construction of the first mathematically robust wave theory, based on the principle bearing the Huygens-Fresnel name. Fresnel’s famous m´ ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... non-linear equation that describes the Bose-Einstein Condensate (BEC) wave function was established in 1961 by ...Schrödinger-like equation, now called the Gross-Pitaevskii equation (GPE), describes ...
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Convergence of Numerical Method For the Solution of Nonlinear Delay Volterra Integral Equations
... numerical methods based on the sinc function, the SE-sinc and DE-sinc, in order to solve the nonlinear delay integral equation ...Our methods have been shown theoretically and ...
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Propagation Modelling Using Integral Equation Methods to Enable Co existence and Address Physical Layer Security Issues in Cognitive Radio
... be based on a real-time radio environment map [1] which would be kept up to date with readings from CRs, sensors and dynamic radio propagation ...that integral-equation (IE) — based al- ...
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An Efficient Magnetic Field Integral Equation Based Iterative Solver
... approximation methods PO or SBR provide excellent field predictions for large object scattering in many applications, problem cases exist where these simple methods fail to provide reliable ...exact ...
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The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind
... first-kind integral equation which is sim- ilar to a transformation into a second-kind integral equa- tion in terms of convergence ...preconditioners based on the Calder´on identity is a ...
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Windowed Integral Equation Methods for Problems of Scattering by Defects and Obstacles in Layered Media
... to integral equations on the obstacles and/or defects (see Section ...novel integral-equation approach for problems involving layered ...is based on use of certain “windowing” functions and ...
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The integral equation methods for the perturbed Helmholtz eigenvalue problems
... of integral equation to evaluate the analyticity properties and asymptotic expansions of the eigenfunctions and the eigenvalues of the Laplacian operator under boundary variations of the domain of ...is ...
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SOLUTIONS OF ELECTRIC-FIELD INTEGRAL EQUATION AND MAGNETIC-FIELD INTEGRAL EQUATION BY USING NUMERICAL ELECTROMAGNETIC CODE
... numerical methods for the analysis of electromagnetic fields. They are based on the solution of Maxwell's equations or certain equations derived from ...in integral or differential form. The ...
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Nystrom method for solving non-uniquely solvable interior Riemann-Hilbert problem on region with corners via integral equation
... two methods based on integral equations for the RH problem are Hilbert and Sherman methods, Sherman’s method is related to the RH problem on simply connected region, while Hilbert’s method is ...
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Krylov deferred correction methods for differential equations with algebraic constraints
... boundary integral equation does not depend significantly on the grid spacing, and the error in the numerical solution can be strictly controlled since it depends on the error in the integration of the ...
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An analysis of electromagnetic scattering from finite-width strips
... 17]). Integral equation technique is a well-known approach for model- ing of scattering ...numerical methods for the solution of these models use basis functions including, for example, ...
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Damage Analysis Of Fiber-Matrix Interface Zones In A Composite Structure
... In a unidirectional composite, the distribution of micro-strain induced by stress can be related to the synergy between the matrix and the fibers of the composite. The matrix not only serves to link the fibers together ...
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II. THE BOUNDARY INTEGRAL EQUATION
... In order to solve the integral equation different types of boundary elements can be used. As shown in [1] the type of boundary elements plays an important role in applying BEM, because the accuracy of the ...
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Integral equations for fluids of linear molecules. I. General formulation
... A general procedure is described that puts the practice of integral equation theory for molecular fluids on a par with that of simple fluids : any integral equation approximati[r] ...
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II. THE BOUNDARY INTEGRAL EQUATION
... boundary integral equation is obtained. For getting this boundaruy integral equation the definition of the Cauchy principal value of an integral is used and the unknown function f is ...
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Numerical quasilinearization scheme for the integral equation form of the Blasius equation
... a nonlinear Volterra integral equation. Section 3 contains a general framework for the idea of generalized quasilinearization used to solve the nonlinear integral equations. Section 4 shows using of ...
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Determination of a nonlinear source term in a diffusion equation with final observations
... an integral identity connecting unknown source terms with known data that are a principal tool in the analysis of the inverse ...with integral identity ...
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