Loop-Tree Free Augmented Equivalence Principle Algorithm for Low-Frequency Problems

2013 ◽  
Vol 55 (10) ◽  
pp. 2475-2479 ◽  
Author(s):  
Zu-Hui Ma ◽  
Li Jun Jiang ◽  
Weng Cho Chew
Keyword(s):  
Equivalence Principle ◽  
Low Frequency ◽  
Equivalence Principle Algorithm

scholarly journals Improved Generalized Single-Source Tangential Equivalence Principle Algorithm with Contact-Region Modeling Method for Array Structures

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Yao Han ◽  
Hanru Shao ◽  
Jianfeng Dong
Keyword(s):  
Equivalence Principle ◽  
Contact Region ◽  
Near Field ◽  
Single Source ◽  
Matrix Vector Multiplication ◽  
The Matrix ◽  
Array Structures ◽  
Fast Multipole Algorithm ◽  
Matrix Vector ◽  
Equivalence Principle Algorithm

An improved generalized single-source tangential equivalence principle algorithm (GSST-EPA) is proposed for analyzing array structures with connected elements. In order to use the advantages of GSST-EPA, the connected array elements are decomposed and computed by a contact-region modeling (CRM) method, which makes that each element has the same meshes. The unknowns of elements can be transferred onto the equivalence surfaces by GSST-EPA. The scattering matrix in GSST-EPA needs to be solved and stored only once due to the same meshes for each element. The shift invariant of translation matrices is also used to reduce the computation of near-field interaction. Furthermore, the multilevel fast multipole algorithm (MLFMA) is used to accelerate the matrix-vector multiplication in the GSST-EPA. Numerical results are shown to demonstrate the accuracy and efficiency of the proposed method.

scholarly journals Measurement of the quality factor of a new low-frequency differential accelerometer for testing the equivalence principle

2014 ◽  
Vol 85 (1) ◽  
pp. 014502 ◽  
Author(s):  
V. Iafolla ◽  
C. Lefevre ◽  
E. Fiorenza ◽  
F. Santoli ◽  
S. Nozzoli ◽  
...  
Keyword(s):  
Quality Factor ◽  
Equivalence Principle ◽  
Low Frequency
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