TY  - EJOU
AU  - Lee, Jin Fa  
AU  - Lee, Robert  
AU  - Teixeira, Fernando  

TI  - Hierarchical Vector Finite Elements with p-Type non-Overlapping Schwarz Method for Modeling Waveguide Discontinuities
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2004
VL  - 5
IS  - 5
SN  - 1526-1506

AB  - This paper presents the application of a p-type Multiplicative Schwarz Method (pMUS) for solving three dimensional waveguide discontinuity with arbitrary shapes. The major ingredients of current approach are: a hierarchical curl-conforming basis functions that incorporates an in-exact Helmholtz decomposition; and, treating each polynomial space (or basis functions group) as an abstract grid/domain in the Schwarz method. Various numerical examples are studied using the proposed approach. The performance has been compared to currently available commercial software and demonstrated superior performance in terms of accuracy as well as efficiency.
KW  - 

DO  - 10.3970/cmes.2004.005.423