adaptive cross approximation
Recently Published Documents


TOTAL DOCUMENTS

128
(FIVE YEARS 25)

H-INDEX

13
(FIVE YEARS 2)

Author(s):  
Daniel Seibel

AbstractTime-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed for a large number of time steps or frequencies. In this article, we propose a new approximation scheme for the Convolution Quadrature Method powered BEM, which we apply to scattering problems governed by the wave equation. We use $${\mathscr {H}}^2$$ H 2 -matrix compression in the spatial domain and employ an adaptive cross approximation algorithm in the frequency domain. In this way, the storage and computational costs are reduced significantly, while the accuracy of the method is preserved.


Author(s):  
M. Bauer ◽  
M. Bebendorf ◽  
B. Feist

AbstractA method for the kernel-independent construction of $$\mathcal {H}^2$$ H 2 -matrix approximations to non-local operators is proposed. Special attention is paid to the adaptive construction of nested bases. As a side result, new error estimates for adaptive cross approximation (ACA) are presented which have implications on the pivoting strategy of ACA.


2021 ◽  
Vol 14 (6) ◽  
pp. 1653-1654
Author(s):  
Dezhi Wang ◽  
Moritz Dannhauer ◽  
Abudulkadir Yucel ◽  
Luis Gomez

2021 ◽  
pp. 305-360
Author(s):  
Walton C. Gibson

2021 ◽  
Vol 35 (11) ◽  
pp. 1354-1355
Author(s):  
Marlize Schoeman ◽  
Renier Marchand ◽  
Johann van Tonder ◽  
Ulrich Jakobus ◽  
Andres Aguilar ◽  
...  

This paper describes some of the latest features in the commercial electromagnetic software Feko (including WinProp). These include the modeling of non-ideal cable shield connections, the parallel direct adaptive cross approximation (ACA) solver, edge and wedge diffraction for the ray launching geometrical optics (RL-GO) solver, and several new features related to automotive radar.


2020 ◽  
Vol 68 (12) ◽  
pp. 4995-5003
Author(s):  
Xiaoxing Fang ◽  
Alexander Heldring ◽  
Juan M. Rius ◽  
Xinlei Chen ◽  
Qunsheng Cao

Sign in / Sign up

Export Citation Format

Share Document