7,259 research outputs found
Subspace-based optimization method for reconstructing 3-D scatterers in anisotropic laminates
International audienceThis paper investigates the subspace-based optimization method (SOM) for reconstructing defects in the anisotropic laminates. Reconstruction of defects in such media, like planar composite panels applied in aeronautic and automotive industry, is greatly challenging to execute, due to the complexity in the anisotropy of materials and multi-layered structure. The main advantage of SOM is to split the space of induced currents into mathematical deterministic and ambiguous subspaces, as opposed to physical radiating and non-radiating subspaces in the noise-free scenario and mathematically measurable and non-measurable in the noisy scenario. The deterministic subspace is determined from the spectrum analysis, whereas the ambiguous subspace is calculated by an optimization method. This feature makes SOM fast convergent, robust against noise and the selection of the regularization parameter L that is used to split the space of induced currents. This work extends the SOM to multi-layered anisotropic inverse scattering problems involving 3-D complex defects
Coincidence theorems involving composites of acyclic mappings in contractible spaces
AbstractSome coincidence theorems involving a new class of set-valued mappings containing compact composites of acyclic mappings defined on a contractible space is proved
Equilibria of noncompact generalized games with U-majorized preference correspondences
AbstractIn this paper, some existence theorems of equilibria for qualitative games and generalized games with an infinite number of agents with noncompact strategy sets and with U-majorized preference correspondences are proved. Our theorems improve some recent results in the literatures
Maximal element theorems in product FC-spaces and generalized games
AbstractLet I be a finite or infinite index set, X be a topological space and (Yi,{φNi})i∈I be a family of finitely continuous topological spaces (in short, FC-space). For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some existence theorems of maximal elements for the family {Ai}i∈I are established under noncompact setting of FC-spaces. As applications, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in noncompact FC-spaces. These theorems improve, unify and generalize many important results in recent literature
Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings
AbstractA new class of parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings is introduced. By applying resolvent operator technique of h-maximal monotone mapping and the property of fixed point set of set-valued contractive mappings, the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings are studied. The continuity and Lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions. Our approach and results are new and improve, unify and extend previous many known results in this field
Iterative process with errors to nonlinear Ф-strongly accretive operator equations in arbitrary Banach spaces
AbstractLet X be an arbitrary Banach space and T : D(T) ⊂ X → X be a Lipschitz ф-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tx = f under weaker conditions are given. The related results deal with the problems that the Mann and Ishikawa iterative sequences with errors strongly converge to the unique fixed point of Lipschitz ф-hemicontractive operators
Fast Solution of Dyadic Green's Functions for Planar Multilayered Media
Ph.DNUS-SUPELEC JOINT PH.D
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