How can we unify numerical methods with a single mathematic framework?

Author

Zhizhang Chen ; Shunchuang Yang ; Yiqiang Yu

Author_Institution

Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2014

fDate

26-29 July 2014

Firstpage

1392

Lastpage

1395

Abstract

A large number of numerical methods have been proposed and continue to be developed for solving electromagnetic structure problems. This paper presents a new look at these numerical methods and a way of unifying them with the node-based method of weighted residuals (MWR). As a result, a unifying approach to constructing of numerical methods is shown. It can then be applied to develop new numerical methods catering to specific electromagnetic issues or problems. A new divergence-preserved meshless method is developed as an example.

Keywords

electromagnetic field theory; numerical analysis; MWR; divergence-preserved meshless method; electromagnetic structure problems; node-based method of weighted residuals; numerical methods; single mathematic framework; Educational institutions; Electromagnetics; Finite difference methods; Finite element analysis; Maxwell equations; Vectors; finite difference; finite element; method of moments; method of weighted residuals; noded-based methods; numerical methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation (APCAP), 2014 3rd Asia-Pacific Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4799-4355-5

Type

conf

DOI

10.1109/APCAP.2014.6992785

Filename

6992785