Combining domain decomposition solution techniques with higher order hierarchical basis functions

2013 ◽  
Author(s):  
D. J. Ludick ◽  
J. Van Tonder ◽  
U. Jakobus
Keyword(s):  
Domain Decomposition ◽  
Higher Order ◽  
Basis Functions ◽  
Hierarchical Basis ◽  
Solution Techniques

scholarly journals T-Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Ahmed Khebir ◽  
Paweł Dłotko ◽  
Bernard Kapidani ◽  
Ammar Kouki ◽  
Ruben Specogna
Keyword(s):  
Cohomology Group ◽  
Single Unit ◽  
Eddy Currents ◽  
Higher Order ◽  
Basis Functions ◽  
De Rham Cohomology ◽  
Arbitrary Topology ◽  
Hierarchical Basis ◽  
De Rham

This paper presents in detail the extension of the T-Ω formulation for eddy currents based on higher-order hierarchical basis functions so that it can automatically deal with conductors of arbitrary topology. To this aim, we supplement the classical hierarchical basis functions with nonlocal basis functions spanning the first de Rham cohomology group of the insulating region. Such nonlocal basis functions may be efficiently and automatically found in negligible time with the recently introduced Dłotko–Specogna (DS) algorithm. The approach presented in this paper merges techniques together which to some extent already existed in literature but they were never grouped together and tested as a single unit.

AIM Analysis of 3D PEC Problems Using Higher Order Hierarchical Basis Functions

2010 ◽  
Vol 58 (4) ◽  
pp. 1417-1421 ◽  
Author(s):  
Ben Lai ◽  
Xiang An ◽  
Hao-Bo Yuan ◽  
Nan Wang ◽  
Chang-Hong Liang
Keyword(s):  
Higher Order ◽  
Basis Functions ◽  
Aim Analysis ◽  
Hierarchical Basis
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