Research of over-voltage in air-core reactor using Waveform Relaxation based on Lanczos

2015 ◽  
pp. 189-194
Keyword(s):  
Waveform Relaxation ◽  
Air Core

Timing simulator by waveform relaxation considering the feedback effect

1989 ◽  
Vol 136 (1) ◽  
pp. 38 ◽  
Author(s):  
Y.-H. Jun ◽  
C.-W. Lee ◽  
K.-J. Lee ◽  
S.-B. Park
Keyword(s):  
Feedback Effect ◽  
Waveform Relaxation

Experimental and numerical investigations of fluid flow in a hydrocyclone without an air core

CIM Journal ◽  
2017 ◽  
Vol 8 (1) ◽  
Author(s):  
E. Kucukal ◽  
J. R. Kadambi ◽  
J. Furlan ◽  
R. Visintainer
Keyword(s):  
Fluid Flow ◽  
Numerical Investigations ◽  
Air Core

scholarly journals Air-core ring fiber guiding >400 radially fundamental OAM modes across S+C+L bands

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Yingning Wang ◽  
Wenqian Zhao ◽  
Wenpu Geng ◽  
Yuxi Fang ◽  
Changjing Bao ◽  
...  
Keyword(s):  
Air Core

Increased space-parallelism via time-simultaneous Newton-multigrid methods for nonstationary nonlinear PDE problems

2021 ◽  
Vol 35 (3) ◽  
pp. 211-225
Author(s):  
Jonas Dünnebacke ◽  
Stefan Turek ◽  
Christoph Lohmann ◽  
Andriy Sokolov ◽  
Peter Zajac
Keyword(s):  
Krylov Subspace ◽  
Solution Procedure ◽  
Grid Size ◽  
Waveform Relaxation ◽  
Test Problems ◽  
Subspace Method ◽  
Multigrid Algorithm ◽  
Multigrid Solvers ◽  
Large Systems ◽  
Linear Pdes

We discuss how “parallel-in-space & simultaneous-in-time” Newton-multigrid approaches can be designed which improve the scaling behavior of the spatial parallelism by reducing the latency costs. The idea is to solve many time steps at once and therefore solving fewer but larger systems. These large systems are reordered and interpreted as a space-only problem leading to multigrid algorithm with semi-coarsening in space and line smoothing in time direction. The smoother is further improved by embedding it as a preconditioner in a Krylov subspace method. As a prototypical application, we concentrate on scalar partial differential equations (PDEs) with up to many thousands of time steps which are discretized in time, resp., space by finite difference, resp., finite element methods. For linear PDEs, the resulting method is closely related to multigrid waveform relaxation and its theoretical framework. In our parabolic test problems the numerical behavior of this multigrid approach is robust w.r.t. the spatial and temporal grid size and the number of simultaneously treated time steps. Moreover, we illustrate how corresponding time-simultaneous fixed-point and Newton-type solvers can be derived for nonlinear nonstationary problems that require the described solution of linearized problems in each outer nonlinear step. As the main result, we are able to generate much larger problem sizes to be treated by a large number of cores so that the combination of the robustly scaling multigrid solvers together with a larger degree of parallelism allows a faster solution procedure for nonstationary problems.

scholarly journals Low-loss air-core polarization maintaining terahertz fiber

2008 ◽  
Vol 16 (18) ◽  
pp. 13593 ◽  
Author(s):  
Guobin Ren ◽  
Yandong Gong ◽  
Ping Shum ◽  
Xia Yu ◽  
JuanJuan Hu ◽  
...  
Keyword(s):  
Low Loss ◽  
Core Polarization ◽  
Air Core ◽  
Polarization Maintaining
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