COUPLING PROJECTION DOMAIN DECOMPOSITION METHOD AND MESHLESS COLLOCATION METHOD USING RADIAL BASIS FUNCTIONS IN ELECTROMAGNETICS | Zendy

Yong Duan | Zendy; Sheng-Jian Lai | Zendy; TingZhu Huang | Zendy

Open Access

COUPLING PROJECTION DOMAIN DECOMPOSITION METHOD AND MESHLESS COLLOCATION METHOD USING RADIAL BASIS FUNCTIONS IN ELECTROMAGNETICS

Author(s) -

Yong Duan,

Sheng-Jian Lai,

TingZhu Huang

Publication year - 2008

Publication title -

progress in electromagnetics research letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.245

H-Index - 33

ISSN - 1937-6480

DOI - 10.2528/pierl08092003

Subject(s) - collocation (remote sensing) , regularized meshless method , domain decomposition methods , projection (relational algebra) , basis function , electromagnetics , projection method , radial basis function , collocation method , coupling (piping) , basis (linear algebra) , decomposition , mathematics , singular boundary method , mathematical analysis , computer science , mathematical optimization , physics , algorithm , geometry , dykstra's projection algorithm , boundary element method , finite element method , artificial intelligence , engineering , differential equation , mechanical engineering , engineering physics , ecology , biology , ordinary differential equation , machine learning , artificial neural network , thermodynamics

This paper presents an efficient meshless approach for solving electrostatic problems. This novel approach is based on combination of radial basis functions-based meshless unsymmetric collocation method with projection domain decomposition method. Under this new method, we just need to solve a Steklov-Poincare interface equation and the original problem is solved by computing a series of independent sub-problems. An electrostatic problem is used as an example to illustrate the application of the proposed approach. Numerical results that demonstrate the accuracy and efficiency of the method are stated.

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