Title :
Web-spline solution of axisymmetric cylindrical problems
Author :
Kunter, Fulya Callialp ; Apaydin, Gokhan ; Ari, Niyazi ; Seker, S.S.
Author_Institution :
Dept. of Electr. & Electron. Eng., Bogazici Univ., Istanbul
Abstract :
Weighted extended (web) b-spline method is a new type of meshless finite elements without using mesh generation. The resulting web-method does not require any grid generation and, as a consequence, can be implemented very efficiently. This paper illustrates web-splines and their implementations for axisymmetrical formulation of electromagnetic problems for inhomogeneous boundary conditions in cylindrical coordinates. The error analysis of applications with respect to exact solution using standard FEM, linear, quadratic and cubic web-splines for different grid widths are illustrated.
Keywords :
computational electromagnetics; error analysis; finite element analysis; splines (mathematics); electromagnetic problem; error analysis; inhomogeneous boundary condition; meshless finite element method; weighted extended b-spline method; Boundary conditions; Coaxial cables; Conductors; Dielectrics; Electrostatics; Equations; Error analysis; Mesh generation; Permittivity; Spline;
Conference_Titel :
Microwave Conference, 2008. APMC 2008. Asia-Pacific
Conference_Location :
Macau
Print_ISBN :
978-1-4244-2641-6
Electronic_ISBN :
978-1-4244-2642-3
DOI :
10.1109/APMC.2008.4958615