scholarly journals Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle

2016 ◽  
Vol 86 (303) ◽  
pp. 233-273 ◽  
Author(s):  
Ronald D. Haynes ◽  
Felix Kwok
Keyword(s):  
Domain Decomposition ◽  
Mesh Generation ◽  
Discrete Analysis ◽  
Equidistribution Principle

scholarly journals Fast Integral Equation Solution of Scattering of Multiscale Objects by Domain Decomposition Method with Mixed Basis Functions

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Ran Zhao ◽  
Hua Peng Zhao ◽  
Zai-ping Nie ◽  
Jun Hu
Keyword(s):  
Integral Equation ◽  
Domain Decomposition ◽  
Mesh Generation ◽  
Electromagnetic Scattering ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Basis Functions ◽  
Equation Solution ◽  
Nonoverlapping Domain Decomposition ◽  
Well Posed

Nonconformal nonoverlapping domain decomposition method (DDM) with mixed basis functions is presented to realize fast integral equation solution of electromagnetic scattering of multiscale objects. The original multiscale objects are decomposed into several closed subdomains. The higher order hierarchical vector basis functions are used in the electrically large smooth subdomains to significantly reduce the number of unknowns, while traditional Rao-Wilton-Glisson basis functions are used for subdomains with tiny structures. A well-posed matrix is successfully derived by the present DDM. Besides, the nonconformal property of DDM allows flexible mesh generation for complicated objects. Numerical results are presented to validate the proposed method and illustrate its advantages.

scholarly journals MDEC: MeTiS-based Domain Decomposition for Parallel 2D Mesh Generation

2011 ◽  
Vol 4 ◽  
pp. 302-311 ◽  
Author(s):  
Thap Panitanarak ◽  
Suzanne M. Shontz
Keyword(s):  
Domain Decomposition ◽  
Mesh Generation
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