A Hybrid Direct and Iterative Solver in the Framework of DDM for Multiscale Problems

2019 ◽  
Author(s):  
Ming Jiang ◽  
Zhi Rong ◽  
Lin Lei ◽  
Xiaofeng Que ◽  
Jun Hu
Keyword(s):  
Iterative Solver ◽  
Multiscale Problems

scholarly journals Semi-Lagrangian Subgrid Reconstruction for Advection-Dominant Multiscale Problems with Rough Data

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Konrad Simon ◽  
Jörn Behrens
Keyword(s):  
Nonlinear Problems ◽  
Higher Dimensions ◽  
Two Dimensions ◽  
Multiscale Methods ◽  
Galerkin Methods ◽  
Standard Methods ◽  
Multiscale Problems ◽  
Eulerian Method ◽  
Lower Order Terms ◽  
New Framework

AbstractWe introduce a new framework of numerical multiscale methods for advection-dominated problems motivated by climate sciences. Current numerical multiscale methods (MsFEM) work well on stationary elliptic problems but have difficulties when the model involves dominant lower order terms. Our idea to overcome the associated difficulties is a semi-Lagrangian based reconstruction of subgrid variability into a multiscale basis by solving many local inverse problems. Globally the method looks like a Eulerian method with multiscale stabilized basis. We show example runs in one and two dimensions and a comparison to standard methods to support our ideas and discuss possible extensions to other types of Galerkin methods, higher dimensions and nonlinear problems.

An iterative solver for the 3D Helmholtz equation

2017 ◽  
Vol 345 ◽  
pp. 330-344 ◽  
Author(s):  
Mikhail Belonosov ◽  
Maxim Dmitriev ◽  
Victor Kostin ◽  
Dmitry Neklyudov ◽  
Vladimir Tcheverda
Keyword(s):  
Helmholtz Equation ◽  
Iterative Solver

Restricted model domain time Radon transforms

Geophysics ◽  
2016 ◽  
Vol 81 (6) ◽  
pp. A17-A21 ◽  
Author(s):  
Juan I. Sabbione ◽  
Mauricio D. Sacchi
Keyword(s):  
Inverse Problem ◽  
Seismic Data ◽  
Computational Cost ◽  
Synthetic Data ◽  
Model Space ◽  
Radon Transforms ◽  
Iterative Solver ◽  
Hard Thresholding ◽  
Restricted Model ◽  
Marine Data

The coefficients that synthesize seismic data via the hyperbolic Radon transform (HRT) are estimated by solving a linear-inverse problem. In the classical HRT, the computational cost of the inverse problem is proportional to the size of the data and the number of Radon coefficients. We have developed a strategy that significantly speeds up the implementation of time-domain HRTs. For this purpose, we have defined a restricted model space of coefficients applying hard thresholding to an initial low-resolution Radon gather. Then, an iterative solver that operated on the restricted model space was used to estimate the group of coefficients that synthesized the data. The method is illustrated with synthetic data and tested with a marine data example.

scholarly journals Quantitative study of computing time of direct/iterative solver for MoM by GPU computing

2013 ◽  
Vol 2 (8) ◽  
pp. 359-364 ◽  
Author(s):  
Keisuke Konno ◽  
Hajime Katsuda ◽  
Kei Yokokawa ◽  
Qiang Chen ◽  
Kunio Sawaya ◽  
...  
Keyword(s):  
Quantitative Study ◽  
Gpu Computing ◽  
Computing Time ◽  
Iterative Solver

scholarly journals GPU-Based Fast Decoupled Power Flow With Preconditioned Iterative Solver and Inexact Newton Method

2017 ◽  
Vol 32 (4) ◽  
pp. 2695-2703 ◽  
Author(s):  
Xue Li ◽  
Fangxing Li ◽  
Haoyu Yuan ◽  
Hantao Cui ◽  
Qinran Hu
Keyword(s):  
Newton Method ◽  
Power Flow ◽  
Inexact Newton Method ◽  
Iterative Solver ◽  
Preconditioned Iterative

scholarly journals Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D

2018 ◽  
Vol 142 (1) ◽  
pp. 103-128 ◽  
Author(s):  
Erik Eikeland ◽  
Leszek Marcinkowski ◽  
Talal Rahman
Keyword(s):  
Schwarz Methods ◽  
Multiscale Problems ◽  
Overlapping Schwarz
Sign in / Sign up

Export Citation Format

Share Document