We design a monotone meshfree finite difference method for linear elliptic equations in the non-divergence form on point clouds via nonlocal relaxation method. The key idea is novel combination of integral PDE problem with robust discretization clouds. Minimal positive stencils are obtained through local $$l_1$$ -type optimization procedure that automatically guarantees stability and, therefore...

a consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable hilbert space. it is proved, through a kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the hilbert space. as an application, this will naturally accomplish the work of kante...

The paper deals with $$L_p$$ -boundedness of the Hartley-Fourier convolutions operator and their applied aspects. We establish various new Young-type inequalities obtain structure a normed ring in Banach space when equipping it such convolutional multiplication. Weighted -norm these are also considered. As applications, we investigate solvability bounded $$L_1$$ -solution class Fredholm-type in...

This paper presents the results of a recent study about the following aspects relevant to tunneling in soft grounds:e) The domain of deformations due to tunneling in soft ground can be specified within a boundary of a parabolic shape. This boundary is defined by a parabolic formula as a function of a central angle which depends on the soil type i.e., either cohesive or cohesionless. This para...

This paper presents the results of a recent study about the following aspects relevant to tunneling in soft grounds:e) The domain of deformations due to tunneling in soft ground can be specified within a boundary of a parabolic shape. This boundary is defined by a parabolic formula as a function of a central angle which depends on the soil type i.e., either cohesive or cohesionless. This para...

This paper proposes a novel axial flux switching permanent magnet generator for small wind turbine applications. Surface mounted axial flux switching permanent magnet (SMAFSPM) machine is a new type of these machines that is introduced in this paper. One of the most important challenges in optimal designing of this kind of machines, is ease of construction and maintenance. One of the main featu...