We present a novel methodology for the numerical solution of problems of diffraction by infinitely thin screens in three dimensional space. Our approach relies on new integral formulations as well as associated high-order quadrature rules. The new integral formulations involve weighted versions of the classical integral operators associated with the thin-screen Dirichlet and Neumann problems as...

Hua-Pin Chen and Wan-Shing Yang* Department of Electronic Engineering, Ming Chi University of Technology, New Taipei City, Taiwan, R.O.C. 2 Department of Computer and Communication Engineering, De Lin Institute of Technology, New Taipei City, Taiwan, R.O.C. *E-mail: [email protected] Abstract In this study, two novel electronically tunable voltage-mode quadrature oscillators are proposed using o...

This paper is aimed to present the Global Thin Plate Spline Differential Quadrature method for numerical solution of viscous Burgers’ equation. mesh-less and high-order model introduced with motive diminishing computational effort dealing irregular geometries. Radial basis function used as a test determine coefficients derivatives in differential quadrature. The algorithm applied discretize sol...

Free vibration characteristics of continuous grading fiber orientation (CGFO) beams resting on variable Winkler and two-parameter elastic foundations have been studied. The beam is under different boundary conditions and assumed to have arbitrary variations of fiber orientation in the thickness direction. The governing differential equations for beam vibration are being solved using Generalized...

This paper outlines and qualitatively compares the implementations of seven different methods for solving Poisson’s equation on the disk. The methods include two classical finite elements, a cotan formula-based discrete differential geometry approach and four isogeometric constructions. The comparison reveals numerical convergence rates and, particularly for isogeometric constructions based on ...